Absorption resonance
Accessible light bullets
experimental conditions for observing
formation of
Accessible soliton limit
Accessible solitons
nematicons as
in NLC beam propagation general model
phase shift of
shape-preserving
of Snyder- Mitchell model
Accessible soliton solutions
Air- NLC input/output interfaces. See also Nematic liquid crystals (NLCs)
Alberucci, Alessandro
All-optical angular steering
All-optical control, on nematicons
All-optical control protocols
All-optical devices
All-optical guided-wave signal processors
All-optical perturbation
All-optical signal steering
All-optical X junction
Amplitude
differential equation for
of oscillation
Amplitude oscillations
levels of beating in
Amplitude- width relation, 375. See also Steady-state amplitude- width relation
Analog optical processor
Analog signal processors
Analytical solutions, numerical simulations vs.
Anchoring conditions
AND logic gate, nematicon-based
Angular momentum
shedding of
Angular momentum conservation equation
Angular momentum loss
Angular profile
Angular velocity
Anisotropic media
Anisotropic nonlinear Schrdinger equation (ANLSE)
Anisotropic perturbative model
Anisotropy, in reorientational dynamics
Ansatz. See Gaussian ansatz
Antibullets
Aperiodic breathing
Apparent walk-off
Approximate analytical self-similar solutions
Approximate analytical solutions, perturbation method for finding
Approximate self-similar soliton solutions
Approximate solitary wave solutions
Arbitrary beams, propagation of
Arbitrary index profile
Arbitrary n and m solutions, properties of
Assanto, Gaetano
Associated refractive index deformations
Asymmetric configuration
Asymmetric multipole solitons
Asymmetry, sources of
Asymptotic theory
Atmosphere index of refraction
Attenuation
Averaged Lagrangian method. See also Interaction-averaged Lagrangian method
Averaging analysis, correct conservation laws for
Averaging method
Azimuthal instability
Azimuthally dependent vortices
Azimuthal solitary waves, linking of
Azimuthons
unstable
Azimuthon stability
Backflow
Beam behavior, in strongly nonlocal nonlinear media
Beam center, temperature variation at
Beam center of mass
Beam diffraction
numerical simulations of
Beam distortion
Beam envelope evolution
Beam evolution
Beam filamentation
Beam incoherence
Beam-induced local reorientation
Beam intensity, modulation depth of
Beam intensity fluctuations
Beam interaction
Beam motion decoupling
Beam polarization
Beam positions
Beam power
Beam power integral
Beam profile evolution, degree of
Beam profiles
Beam propagation. See also NLC beam propagation general model
in NN media
temperature-induced confined
in 2D strongly NN media
Beam propagation direction, changes in
Beam-propagation method
Beams. See also Arbitrary beams; Converging (focused) input beam; Extraordinarily polarized beams; Extraordinary beam; Gaussian beam(s); Light beam propagation; Nonlinear beam evolution; Optical beams; Optical vortex beams; Paraxial light beamentries; Rotating beams; Self-trapped optical beams; Solitary wave beams; Spatially incoherent beams; Speckled beam; Stabilizing beam; Two-beam launch; Vortex beams
equations governing
interaction with dark vortices
Beam self-steering
Beam shape comparisons
Beam trajectories
complicated
Beam waist
Beam walk-off
Beam wave vector
Beam width
Beating levels, in amplitude oscillation
Beeckman, Jeroen
Belic, Milivoj R.
Bend deformation
Bent waveguide
Berreman/van Doorn simplification
Bessel functions
modified
Bessel's equation
Bias. See also External voltage bias
application of
in modifying walk-off
results of
Bias-controlled interface
Biased NLC cells. See also Nematic liquid crystals (NLCs)
modulational instability in
nonlinear light propagation in
Bias-free nematic liquid crystals, optical soliton dynamics in
Bias-free nematicons
Bias reorientation
Bias voltage
Bias voltage switching time
Bidimensional anisotropic BPM code. See also BPM (1 + 1)D simulations
Bidimensional channel waveguides
Bidimensional confinement
Bifurcation
Binary all-optical half adder (HA)
Birefringence, changing
Blach, Jean-Francois
Bloch oscillations (BO)
Bloch theory
Boolean inputs
Bortolozzo, Umberto
Bose- Einstein condensates (BECs)
Boundary, power-dependent repulsion from
Boundary conditions
Boundary effects
Bounded cells, vortices in
Bounded functions
Bounded solutions
BPM (1 +1)D simulations. See also Bidimensional anisotropic BPM code
Bragg reflection
Breather clusters, of Snyder- Mitchell model
Breathers. See also Discrete breathers; Nematicon breathers; Optical breathers; Vector breathers
complex-variable-function Gaussian
Breathing period dependence, vs. voltage
Breathing periodicity
Bright (2 + 1 + 1)D solitons
Bright pulses, intensity of
Bright solitons
attraction between
Bright vortices
Broad director response
BSO (Bi12SiO20) crystal
illuminating
BSO layer
BSO-made liquid crystal light valve
BSO-made transmissive LCLV
Capillary geometry
Catalan constant
Cell geometry
Cells, switching time of
Cell walls
rubbing
vortices in
Center of mass, motion of. See also Beam center of mass; Nematicon ``center of mass''; Soliton ``center of mass''
Center of mass equation
``Center of mass'' trajectory
Channel waveguide
Charge-flipping
Charge of the vortex
Chiral dopant
Chiral nematic liquid crystals (ChNLCs). See also ChNLC entries
changing pitch and birefringence in
in creating spatial solitons
energy minimization in
light beam propagation in
theoretical model of
Chiral nematicons
Chiral nematics
``Chirp'' variational approach
ChNCL cells. See also Chiral nematic liquid crystals (ChNLCs)
schematic configuration of
ChNLC periodicity
Chopped laser beam
Circular control beams
Circular index perturbation
Circular spots, interaction with
Closed-form solution, for invariant nematicons
Cnoidal wave solution
Coherent Lagrange triangle, angular momentum of
Coherent structures
evolution of
modulation theory for
Collective molecular reorientation
Colliding solitons
Collimation
Collisionless shock
Colloidal media
Comb layout
Comb-patterned electrodes
Complex-variable-function (CVF) Gaussian beam
Complex-variable-function Gaussian breathers/solitons
Conformal mapping
Conservation laws
Conservation of angular momentum equation. See Angular momentum conservation equation
Conservation of mass equation. See Mass conservation equation
Conserved energy density
Continuous spectrum
Continuous wave (cw) solution. See also CW background
Control-beam-induced charges
Control beams
``Control'' light beam
Converging (focused) input beam, tailoring the size of
Convolution integral
Coordinate systems
rotating
for three-color Lagrange solution
Coordinate transformation
Copropagating beams, dynamics and interaction of
Copropagating bound state
Copropagating (CO) nematicons
Coulombian torque
Counter-propagating (CP) beams
Counter-propagating nematicons
Counter-propagating solitons
bound state of
``head-on'' collision of
interaction of
Coupled evolution PDEs. See also Partial differential equations (PDEs)
Coupled partial differential equations
Coupled Schrdinger- Poisson system
Coupled waveguides, vortex-type structures in
Coupling coefficients
Coupling distance (LC)
Crank- Nicolson algorithm
Critical (input) soliton power
Curved dielectric surfaces
nematicon interaction with
strong interaction of nematicons with
Curved surfaces, nematicon interactions with
Cutoff frequency
CW background. See also Continuous wave (cw) solution
Dark solitary waves, amplitude of
Dark temporal solitons
Dark vortex, interaction with beam
D-dimensional spatiotemporal solitons
Defects, beam attraction to
Defocusing equations, analytical solutions for
Defocusing nonlinearity
Defocusing nonlocal media, DSW in
Defocusing photorefractive crystal
Defocusing thermal media, shock development in
Deformed ChNLCs, free energy of. See also Chiral nematic liquid crystals (ChNLCs)
Delta function
Deng, Dongmei
Destabilizing terms, of single-color vortices
Desyatnikov, Anton S.
Dielectric inhomogeneities
Dielectric interfaces
Dielectrics, nematic liquid crystals as
Dielectric tensor, localized defect in
Differential equations
Diffraction. See also Beam diffraction; Discrete diffraction; Linear diffraction; Negative diffraction
balance of self-focusing with
of light
Diffraction coefficient(s) (D)
Diffraction coefficient weightings
Diffractive background
Diffractive broadening
Diffractive radiation shedding. See also Shedding diffractive radiation
Diffractive radiation shelf
Diffusion model
Dimensionless NNLSE. See also Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
Dimensionless transform
Dipolar interactions
``Dipole azimuthons,''
generation of
Dipole-induced perturbation
Dipole-like modes
Director angle amplitude
Director components, time evolution of
Director distortion
Director distribution(s)
numerical simulations of
Director equation
Director orientation
Director profile
Director pulse
Director reorientation
Discrete breathers
Discrete diffraction
Discrete light propagation, in liquid crystalline waveguide arrays
Discrete propagation
Discrete solitons
Discrete spatial soliton
Discrete systems
characterization of
for nonlinear beam steering
Dispersion diagrams
Dispersive shock waves (DSWs)
development in nonlocal media
development of
experimental and numerical results concerning
in focusing media
governing equations for
numerical evolution of
in optical media
Dispersive wave equations
Doped NLCs. See also Dye-doped nematic liquid crystals; Nematic liquid crystals (NLCs)
solitons in
Double poles
Double refraction
Doughnut-shaped vortices
DSW solutions. See also Dispersive shock waves (DSWs)
Dye-doped nematic liquid crystals, nematicon self-steering in. See also Doped NLCs
Dye-mediated field- NLC interaction
Dyes
Dynamic temperature distribution
Dynamic transverse instability
E7 director distribution, numerical simulations of
E7 group velocity dispersion
Effective index, of input waveguides
Effective index distribution
Ehrenfest theorem of quantum mechanics
Eigenfunction expansion
Eigenfunctions
of FRFT
Eigen-soliton solutions
Eigenvalue equations
Eigenvalue problem
Eikonal equation
Elastic constants. See Frank elastic constants
Elastic energy
Electrically defined interfaces
Electrically driven nematicon steering
Electrically induced reorientation
Electrical permittivity, of ChNLCs
Electric energy
Electric field
influence of external
pretilting
Electric field amplitude
Electric field distribution
Electric field equation
Electric field profile
Electric permittivity
Electrode configurations
Electrode geometries, alternative
Electrode patterning
Electrode periodicity
Electrodes, in planar cells
Electromagnetic wave packets
Electronic nonlinearities
Electro-optic material, in liquid crystal light valves
Electro-optic NLC response. See also Nematic liquid crystals (NLCs)
Electro-optic response
Elongated isosceles triangle solution
Energy, types of
Energy conservation equation
Energy conservation modulation equation
Energy equation
Equilibrium orientation
``Equivalent functions,''
Equivalent transverse force
Euler- Lagrange differential equation(s)
Evanescent-field coupling
Evolution profiles
Evolution with control beams
Evolution without perturbation
Exact solitons
Excitation conditions
Excitation-dependent X junction
Excited nematicons
Experimental measurements, theoretical predictions vs.
Experiments, role of losses in
Extended modulation theory
External beam addressing/multiplexing
External beams, soliton gating/switching by
External electric field, influence of
External spatial light modulator
External voltage, tunability and
External voltage bias
Extraordinarily (y)-polarized beam
Extraordinarily polarized beams
Extraordinary beam, polarization adjustment of
Extraordinary eigenwave
Extraordinary index
Extraordinary polarization
Extraordinary polarized beam
Extraordinary refractive indices
perturbation of
Extraordinary signal beam
Extraordinary wave
Extraordinary wave component
Far-field divergence, of Gaussian beams
Fast Fourier transform (FFT) spectrum, analysis of
Fast-local nonlinearities
FB analysis
FB modes
Fiber heat conductivity
Field-induced reorientation
Field spatial profile
50/50 duty cycle electrode patterns
Finite pitch (p), helical structure of
Finite-size defects
First-order mode
First-order perturbations
Fixed point relations
Fixed trial functions
Flat-top beams
Flat-top pulse
Flow effects, influence of
Fluorescence, maximum intensity of
Fluorescence recovery enhancement
Fluorescence signal
Fluorescence spectrum
Focused input beam, tailoring the size of
Focusing equations, analytical solutions for
Focusing ``lensing'' effect
Focusing media
Focusing NLS equation. See also Nonlinear Schrdinger (NLS) equation (NLSE)
modulation equations for
Focusing photorefractive media
Forcing terms
with harmonic oscillators
Fourier expansion
Fourier series
Fractional Fourier transform (FRFT)
eigenfunctions of
self-induced
Fractional solitons
Fractional topological charges
Frank elastic constants
Frank- Green equation
Fredericksz-like threshold
Fredericksz threshold
Fredericksz transition
Free energy, of deformed ChNLCs
Free energy terms
``Free nematicons
Frequency conversion, soliton-enhanced
Full numerical solution
modulation solution vs.
Function transform/transformation
Fundamental frequency (FF)
Galerkin approximation
Gamma function (Γ)
Garcia-Reimbert, Catherine
Gating, by external beams
Gaussian ansatz
Gaussian beam(s)
CVF
far-field divergence of
light propagation for
numerical simulations of
Gaussian beam evolution
Gaussian beam profile
Gaussian CVF Gaussian soliton
Gaussian functions
Gaussian initial conditions
Gaussian input
Gaussian kernel
Gaussian solitons
Gaussian WS soliton family
Gauss- Seidel scheme
Geometric optics expansion
Geometric optics solution
Glass- NLC interfaces, rubbing of. See also Nematic liquid crystals (NLCs)
Global conservation laws
``Global'' self-focusing
Goos- Hnchen-like shift, on total internal reflection
Goos- Hnchen shift
Graded interface
Gradient, of nonlinear index center. See also Index gradient; Induced index gradient; Quasilinear gradient; Refractive index gradient; Temperature gradient
Gravitating masses, interacting nematicons and
Gravitational clusters
Gravitation of nematicons
Gravitation triangle configuration
Green function (G, H)
integral of
symmetry of
Group-velocity dispersion (GVD)
Guest- host system
Guided azimuthally dependent modes
Guided modes
Guiding channels
Guo, Qi
H00 mode
Half adder (HA)
Half-moon solitons
Half-width at half-maximum (HWHM)
Harmonic motion equation, frequency of
Harmonic oscillator equation
Harmonic oscillators
Heat diffusion process
Heat equation
Heat profile
Helical structure, of finite pitch
He- Ne beam
Henninot, Jean-Francois
Hermite CVF Gaussian soliton
Hermite- Gaussian (HG) cluster
Hermite- Gaussian solitons
Hermite- Gaussian spatial solitons, one-dimensional
Hermite- Laguerre- Gaussian (HLG) cluster
Hermite polynomials
High birefringent ChNLCs. See also Chiral nematic liquid crystals (ChNLCs)
Higher dimensions, nonlinear wave evolution in
Higher order modes
Higher order spatial solitons
Highly nonlinear regime
High speed optical modulators
High thermal nonlinearity
Homeotropic texture
Homogeneous medium, light propagation in
Homogeneous orientation
Homogenic texture
Hu, Wei
Hyperbolic modulation equations
Image analysis
Ince- Gaussian (IG) cluster
Incoherent nematicon behavior
Independent variables, with harmonic oscillators
Index distribution
Index gradient(s)
induced
Index layers, guiding
Index modulation
Index of refraction. See Refractive index entries
Index profile(s). See also Arbitrary index profile; Induced index profile; Nonhomogeneous index profile; Refractive index profile
Indium tin oxide (ITO)
Indium tin oxide (ITO)-transparent electrodes
Indium tin oxide film
Induced index gradient
Induced index profile
Infinitely extended medium
Infinite nonlocality limit
Initial Gaussian profile
In-phase solitary waves
In-phase voltages
In-plane interaction, of two-color nematicons
In-plane nematicon interaction
In-plane soliton steering
In-plane steering, of nematicons
Input beam waist
Input phase dislocation
Input polarization, change in
Input polarization angle
Input soliton power
Input vortex beam
Input vortex power
Input waveguides, effective index of
Instability mechanism
Integrals
Intensity profile
evolution of
Interaction-averaged Lagrangian method
Interaction scenarios
Interaction term
Interfaces, nematicon interaction with
Interferometric technique
Interferometry
Intermolecular interactions
Invariant nematicons, closed-form solution for
Inverse Laplace transform
Inverse scattering
Inverse scattering solution
Inverse scattering theory
Inverse surface wave normals
Isosceles triangle Lagrange solutions
Isotropic channels
Iterative algorithms
Izdebskaya, Yana V.
Janossy effect
Janossy response
Jordan blocks
Karpierz, Miroslaw A.
Kepler coordinates
Kepler form
Kepler-like modulation equations
Kerr coefficient
Kerr dependence
Kerr effect, reorientational
Kerr-like effect, self-focusing
Kerr-like field- matter interaction
Kerr media
(2 + 1 + 1)D nonlinear wave propagation in
Kerr nonlinearity
Kerr response
Kerr self-focusing angle
Kerr-type nonlinearity
Kink solution
Kivshar, Yuri S
Korteweg- de Vries (KdV) equation
soliton solution of
Kronecker function (δij)
Lagrange three-body solution
Lagrange triangle solution
Lagrangian density
Lagrangian method, averaged
Lagrangian operator/formulation
with nonlinear Schrdinger equation
for three-color nematicon equations
Laguerre differential equation
Laguerre- Gaussian (LG) cluster
Laguerre- Gaussian (LG) soliton families, two-dimensional
Laguerre polynomials
Landau- Lifshits equation, modulation equations for
Landau- Zener (LZ) tunneling
Laplace transforms
inverse
Laser beam powers
Laser-induced molecular reorientation
Laser light, propagation of
Laudyn, Urszula A.
LC layers, photoconductive transduction across. See also Liquid crystals (LCs)
LCLV nonlinear coefficient. See also Liquid crystal light valves (LCLVs)
LCLV response time
LC molecule polarizabilities
``Lensing'' effect
Leslie coefficients
Light, diffraction of
Light beam propagation, in TNLCs and ChNLCs
Light bullets. See also Accessible light bullets; Optical bullets
in NLCs
trains of
Light-by-light guiding
Light-induced reorientation
Light intensity profile
Light- matter interactions, discretization of
Light-NLC interactions. See also Nematic liquid crystals (NLCs)
Light propagation
confined via thermo-optical effect in nematic liquid crystals
determining
in a homogeneous medium
Light self-confinement
in the absence of losses
Light self-focusing, in liquid crystals
Light self-localization
Light tunneling
Light valve optimization
Light valves. See also Liquid crystal light valves (LCLVs)
nematicons in
spatial solitons in
Linear diffraction
Linear discrete light propagation, studies on
Linear eigenmodes, dispersion diagram of
Linear eigen polarizations
Linear eigenvalue problem
Linear homogeneities, nematicon self-steering through interaction with
Linear index distribution
Linearity breakdown
Linearized electric field equation
Linearized NLS equation. See also Nonlinear Schrdinger (NLS) equation (NLSE)
Linearized perturbation theory, for nonlinear Schrdinger equation
Linearly polarized beam
Linear media, vortices in
Linear momentum
Linear oscillators
Linear perturbation
Linear Poisson equation
Linear polarization
Linear potential
Linear refractive index gradient
Linear regime
Linear Schrdinger equation. See also Nonlinear Schrdinger (NLS) equation (NLSE)
Linear stability problem
Linear trapping potential
Linear walk-off
Liquid crystal displays (LCDs)
Liquid crystal layers, tuning
Liquid crystal light valves (LCLVs). See also LCLV entries; Light valves
cell structure and working principle of
nonlinear mechanism in
optical addressing in transverse configurations of
possibilities related to
typical response functions of
Liquid crystalline waveguide arrays, discrete light propagation in
Liquid crystal molecules
Liquid crystal reorientation, time to complete
Liquid crystals (LCs)
influence of flow in
as an intermediary medium
light self-focusing in
optical nonlinear effects of
spatially nonlocal response of
switching times of
thermal nonlinearity in
Liquid crystal switching, time dependence of
Local frequency, of an oscillator
Local inversion symmetry
Localized D-dimensional spatiotemporal solitons
Localized refractive index change
Local media, vortex propagation in
Local nonlinear media
Local nonlinear response
Local nonlinear Schrdinger-type equation. See also Nonlinear Schrdinger (NLS) equation (NLSE)
Local reference system
Local reorientation, beam-induced
Long-distance thermally induced nonlinear beam propagation
Longitudinal derivative
Longitudinal direction, self-guided propagation in
Longitudinal field
Long-range interactions
Loss coefficient (δ, δu)
Losses. See also Radiative loss; Scattering losses
due to Rayleigh scattering
light self-confinement in the absence of
role of
Low birefringence ChNLCs. See also Chiral nematic liquid crystals (ChNLCs)
Low frequency electric field
Low frequency field distribution
Low order solitons, radial distribution of
Lu, Daquan
Mach- Zehnder arrangement
Mach- Zehnder interferometer
MacLaurin series
Magma equation
Magma evolution problem
Magnetic energy
Marchant, Tim R.
Mask, initial vortex produced by
Mass conservation
Mass conservation equation
Mass conservation law
Mass equation
Mass flux
Mass flux equation
Mass loss
Mass modulation equation
Mathematical modeling, of LZ phenomenon
Mathematical models, of spatial solitons
Mauguin limit
Maximum fluid velocity
Maximum tilt
Maxwell's equations
Mean nematicon trajectory
Mechanical rubbing
Medium (media). See also Kerr media
infinitely extended
nonlocal nonlinear
refractive index of
Method of averaging
Method of images
Method of multiple scales. See Multiple scales method
Methyl Red dye
Midtilt
evolution of
Miesowicz coefficients
MI gain profiles. See also Modulational instability (MI)
Minzoni, Antonmaria A.
Mixed polarization state
Modal expansion
Models. See also Mathematical models
anisotropic perturbative
scalar perturbative
Modified Bessel functions
Modified Snyder- Mitchell model
Modulated solutions
Modulational instability regimes
Modulational instability (MI)
development of
experimental results on
generating with a spatially incoherent beam
Modulational transverse stability analysis
Modulation amplitude oscillations
Modulation analysis
Modulation depth, of beam intensity
Modulation equations. See also Energy conservation modulation equation
for conservation of energy
governing nonlinear beams
integrals in
Kepler-like
for nematicon evolution
soliton amplitude vs.
solution of
Modulation oscillation
Modulation solutions
agreement with numerical solutions
full numerical solution vs.
Modulation steady-state amplitude
Modulation theory. See also Whitham's modulation theory
based on trial functions
for coherent structures
extended
nonlinear Schrdinger equation and
Molecular adsorption/desorption
Molecular director
Molecular director distribution
Molecular interactions
Molecular reorientation
laser-induced
optical nonlinearity arising from
Momentum
Momentum conservation
Momentum equations
Monotonous functions
Multiband discrete breather
Multiband optical breather
Multiband vector breathers
Multicore directional coupler
Multidimensional clusters
Multilayer propagation
Multimode nematicon-induced waveguides
Multinematicon clusters
Multiple beams
Multiple layered structures
Multiple nematicons, interaction of
Multiple nonlinearities
Multiple nonlinear mechanisms
Multiple scales analysis
example of
``Multiple scales'' form
Multiple scales method
Multiple scales perturbation theory
Multiple solitons, generating
Multipole solitons
asymmetric
symmetric
Multi-soliton interactions
Nabla operator
``Narrow'' solitons
Navier- Stokes equations
Negative diffraction
Nematic, the. See also Nematics
optical field interaction with
Nematic director
Nematic layers
beam propagation in
electric field applied across
Nematic LC layer. See also Liquid crystals (LCs)
Nematic liquid crystals (NLCs). See also Bias-free nematic liquid crystals; NLC entries; Nematicon entries
bias voltage switching time in
as birefringent uniaxials
development of MI for
doped vs. undoped
evolution of nonlinear beams in
first observation in
geometries within
as good test material
light propagation in
nonlinear beam evolution in
nonlinear beam propagation in
nonlocal modulational instability in
nonlocal response of
perturbative solution of NNLSE for a single soliton in
reorientational response of
solitary waves in
spatiotemporal dynamics and light bullets in
twisted and chiral
voltage-controllable characteristic length of
vortices in
waveguide arrays in
Nematic liquid crystal spatial solitons
excitation of
nonlocal
optical
time dependence of
Nematicon-based signal routers/processors
Nematicon beams, interaction of
Nematicon behavior
Nematicon bending
Nematicon breathers
Nematicon ``center of mass,''
Nematicon clusters
Nematicon control
with external light beams
Nematicon creation
Nematicon deviation
Nematicon equations
full numerical solutions of
numerical solutions of
radiation loss for
Nematicon evolution
modulation equations for
Nematicon evolution regimes
Nematicon excitation
Nematicon generation
Nematicon-induced index perturbation
Nematicon-induced waveguides, multimode
Nematicon interaction
Nematicon motion
equivalent Newtonian gravitation configurations and
Nematicon- nematicon interactions
Nematicon oscillations
Nematicon paths
external control of
Nematicon position, dynamical equations for
Nematicon power
increases in
Nematicon power-dependent self-routing
Nematicon profiles
single-hump
Nematicon propagation
influence of external electric field on
modeling of
Nematicons. See also Nematic liquid crystals (NLCs); Single-hump nematicons; Two-color nematicons
as accessible solitons
all-optical control on
control of
defined
director distributions of
electric field profiles of
encountering dielectric interfaces
evolution of
formation of
generating
governing equations for
gravitation of
in-plane steering of
interacting with localized beams
interaction potential of
interactions between
interactions with curved surfaces
investigating
in light valves
long-range interaction between
motions of
nonlocal character of
nonplanar evolution of
origin of term
out-of-plane steering of
phase difference between
physics of
planar interactions between
properties of
relative displacement of
routing of
setup for observing
in a single layer
solitary waves in nematic liquid crystals as
spatial optical solitons in
spiraling
as strongly nonlocal spatial solitons
subject to walk-off
temporal modulation instability in
theoretical models on
transverse dynamics of
twisted and chiral
vectorial
Nematicon self-escape
Nematicon self-steering. See also Nematicon steering
in dye-doped nematic liquid crystals
through interaction with linear homogeneities
Nematicon separation, steady states for
Nematicon steering
Nematicon trajectories
mean
nonstraight
optical control of
in the perturbative limit
3D control of
three-dimensional
Nematicon waist
Nematicon walk-off. See also Walk-off entries
voltage control of
Nematicon waveguides
Nematic phase, molecular distribution in
Nematics, twisted and chiral. See also Nematic, the
Nematic vortex problems, formulating
Newtonian gravitation
Newtonian gravitation configurations, nematicon motion and
Newtonian-like gravitation of nematicons
Neyts, Kristiaan
NLC beam propagation general model. See also Nematic liquid crystals (NLCs)
NLC birefringence
NLC cell geometry
NLC cells. See also NLC-filled cells
nonlinear light propagation in
NLC dielectric anisotropy
NLC electro-optic response
NLC-filled cells, planar geometry of
NLC layers, changing optical properties of
NLC media, thermo-optical effects in
NLC mixture E7
NLC nonlinearity
NLC nonlinear response
NLC orientation, preferred
NLC orientational response
NLC refractive indices
NLC response function
NLC ruling model
NLC waveguide arrays
NLS equation (NLSE). See Nonlinear Schrdinger (NLS) equation (NLSE)
NLS Lagrangian operator, Nther's Theorem on
NLS modulation equations
NLS solitons, sech profile of
NLS soliton solution
NLS-type equations
NN models. See also Nonlocal nonlinear (NN) media
NNSE model. See also Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
Nonadiabatic limit
Noncentrosymmetry modeling
Nonhomogeneous index profile
Nonhomogeneous orientation
Nonlinear (NL) angular steering
Nonlinear beam evolution
analyzing
in nematic liquid crystals
Nonlinear beam propagation, thermally induced
Nonlinear beams, modulation equations governing
Nonlinear beam steering
Nonlinear discrete light propagation, studies on
Nonlinear dispersion relation
Nonlinear dispersive wave equations
Nonlinear dynamics, multiple nonlinearities and space- time decoupling of
Nonlinear effect (). See also Nonlinear effects
Nonlinear effective coefficient
Nonlinear effects
Nonlinear eigenmodes
Nonlinear eigenvalue problem
Nonlinear focusing, strength of
Nonlinear incoherent interaction
Nonlinear index
Nonlinear index center, gradient of
Nonlinear-index coefficient
Nonlinear index perturbation
Nonlinear induced refractive index
Nonlinear integral equation
Nonlinear interaction, decreasing
Nonlinearities, temporal behavior of
Nonlinear light propagation
in biased NLC cells
in a weakly nonlocal medium
Nonlinearly induced refractive index change
Nonlinear materials
Nonlinear media
Nonlinear nonlocality. See also Nonlocal nonlinear entries
Nonlinear nonlocal localization phenomena, mathematical framework for
Nonlinear nonlocal optical media
Nonlinear optic effects, new class of
Nonlinear optics
perturbation models in
Nonlinear perturbations
Nonlinear perturbative regime
Nonlinear polarization
Nonlinear propagation
characterizing
modeling
Nonlinear refractive index potential
Nonlinear regimes
Nonlinear response, terms in
Nonlinear ruling models
Nonlinear Schrdinger (NLS) equation (NLSE). See also Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
linearized perturbation theory for
modulation theory and
nonlinear terms of
numerical solution of
trial function used for
Nonlinear transverse dynamics
Nonlinear wave equations, finding the DSW of
Nonlinear wave evolution, analysis of
Nonlinear wave evolution in higher dimensions, theoretical approaches to
Nonlocal effects
Nonlocal interactions
Nonlocality
calculated trend of
characterizing
controlling
degrees of 3
effect of
through response functions
voltage-controlled degree of
vortex stabilization and
Nonlocality classes
Nonlocality measurement
Nonlocality parameter ()
Nonlocality values
Nonlocal limit
Nonlocal media. See also Nonlocal nonlinear (NN) media
dispersive shock waves in
nonlinear light propagation in
vortex evolution in
Nonlocal modulational instability, in NLCs
Nonlocal NLSE. See also Nonlinear Schrdinger (NLS) equation (NLSE); Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
Nonlocal nonlinear (NN) media. See also Strongly nonlocal nonlinear (NN) media
beam propagation in
self-trapped optical beams in
vortex stabilization in
Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE). See also Dimensionless NNLSE; Nonlinear Schrdinger (NLS) equation (NLSE)
perturbative solution of, for a single NLC soliton
Nonlocal reorientation
Nonlocal response
Nonlocal spatial optical solitons, large phase shift of
Nonlocal spatial solitons
in nematic liquid crystals
properties of
Nonnegligible electric field components
Nonperturbative nonlinear regime
Nonstraight nematicon trajectories
Nonuniform anchoring
Nonuniform waveguide
Nther's Theorem
Numerical methods
Numerical simulations
analytical solutions vs.
Numerical solutions
agreement with modulation solutions
uniform soliton theory results vs.
ODE (ordinary differential equation) system. See also Ordinary differential equations (ODEs)
On-axis amplitude
One-color azimuthons, unstable
One-dimensional (1D) QHO. See also Quantum harmonic oscillator (QHO)
One-dimensional dielectric lattice
One-dimensional DSW. See also Dispersive shock waves (DSWs)
One-dimensional Hermite- Gaussian (HG) spatial solitons
One-dimensional self-similar solitary waves
1D photonic lattice
tunable
1D waveguide arrays
(1 + 1)D semianalytical soliton
(1 + 1)D simplified model
Optical ``ship'' waves
Optical addressing, in LCLV transverse configurations
Optical anisotropy
of the electric permittivity
of liquid crystalline molecules
Optical axis, stabilizing effects on vortices. See also Optic axis entries
Optical axis perturbation
Optical beams
propagating in NLC-filled planar cells
propagation of
Optical breathers
Optical bullets. See also Light bullets
dense trains of
Optical field
evolution of
interaction with nematic
Optical field distributions
Optical Fredericksz transition (OFT). See also Fredericksz entries
Optical lattices
Optical localized structures, control of
Optically controlled soliton dynamics
Optically induced double interface
Optically induced perturbation
Optically induced reorientation
Optically induced reorientational nonlinearity
Optical media, dispersive shock waves in
Optical multiband vector breathers
Optical nonlinearities
arising from molecular reorientation
typical response times for
Optical potential, soliton operations and
Optical power
Optical power loss
Optical processor, analog
Optical propagation, under multiple nonlinear contributions
Optical properties, temperature and
Optical reorientation
effect of
Optical shocks, development of
Optical soliton dynamics, in bias-free nematic liquid crystals
Optical solitons
Optical spatial solitons
link to doughnut-shaped vortices
Optical vortex beams, propagation of
Optical vortices
stability and propagation of
stabilizing
study of
Optic axis. See also Optical axis
inducing changes in
Optic axis distribution
Optic axis reorientation
Ordinary differential equations (ODEs). See also ODE (ordinary differential equation) system
Orientational self-waveguides, thermal self-waveguides vs.
Orientational solitons
Orientation angle (θ)
Orthogonality, enforcing
Oscillation amplitude(s)
Oscillation period
Oscillator equation
Oscillators, local frequencies of
Oscillatory ``breather'' solution
Out-of-plane steering, of nematicons
Ouyang, Shigen
Overdriving scheme
Parabolic cylinder functions
Parabolic profile
Paraxial approximation, linear limit in
Paraxial envelope, evolution of
Paraxial light beam, behavior of
Paraxial light beam dynamics model
Paraxial nematicon profile
Paraxial wave equation
Partial differential equations (PDEs). See also Coupled evolution PDEs; PDE (partial differential equation) system
coupled
Patterned electrodes
PCB, refractive indices of
PDE (partial differential equation) system, of the reorientation equation
Peak-pretilt
Peccianti, Marco
Pedestals
Periodic boundary conditions
Periodic lattices, formation of
Periodic oscillations
Periodic photonic lattice
Periodic refractive index modulation, photonic structures with
Periodic solutions
Periodic wave
Period of oscillation
Perturbation equation
Perturbation methods
for finding approximate analytical solutions
for solitary waves
Perturbation models, in nonlinear optics
Perturbation regime, propagation in
Perturbation relaxation time
Perturbation series solution
Perturbation theory. See also Multiple scales perturbation theory
Perturbative approximations
Perturbative expansion equation
Perturbative regime
Perturbative solution, of the NNLSE for a single NLC soliton
Perturbed inverse scattering theory
Perturbing terms
Phase, in simple harmonic oscillator
Phase-dependent short-range interactions
Phase difference
between solitons
Phase-independent interaction
Phase retardation
Phase shift, of accessible soliton
Phase transition, clarifying the onset of
Photoconductive transduction, of intensity into applied voltage
Photoconductor response
Photoluminescence
Photonic lattices
Photonic potential
Photonic structures, with periodic refractive index modulation
Photoreceptors, in liquid crystal light valves
Photorefractive LCLVs. See also Liquid crystal light valves (LCLVs)
Photorefractive light valves, transmissive configuration of
Photorefractive media
Piccardi, Armando
Pitch (p)
changing
Pitchfork topological reactions
Planar cells. See also Planar (unbiased) NLC cells
homogeneous
simplified (1 + 1)D models in
voltage-defined interfaces and
Planar director orientation
Planar geometry, of NLC-filled cells
Planar interactions, between nematicons
Planar (unbiased) NLC cells
Planar waveguide array
Plane polar coordinates
Poisson equation
linear
Poisson-like equations
Poisson's formula
Polar angles
Polar coordinates
Polarized field envelope
Poles
Position oscillations
Positive index gradient
Positive low frequency anisotropy
Power, optical
Power attenuation
Power conservation
Power-dependent nematicon self-ejection
Power-dependent nonlocal interaction
Power-dependent repulsion, from boundary
Power-dependent self-routing, in nematicons
Poynting vectors
Preferred NLC orientation
Pretilt
Pretilting electric field
Prism index of refraction
Probe beam
Profile changes
Propagating pulses, temporal properties of
Propagation axis
Propagation medium
Protective switching
Pure electronic nonlinearities
Quadratic graded-index channels
Quadratic media
Quadratic self-induced index
Quantum harmonic oscillator (QHO). See also One-dimensional (1D) QHO; Two-dimensional (2D) QHO
Quantum harmonic oscillator theory
Quasilinear gradient
Quasi-sinusoidal oscillation, in the waist
Quasisoliton
Radial index variation
Radially symmetric solitons
Radiation equation
Radiation loss
for the nematicon equations
Radiation shedding. See also Diffractive radiation shedding
Radiation shelf. See Shelf of radiation (g)
Radiative loss, differences in
Rayleigh dissipation function
Rayleigh scattering
losses due to
Ray optics
Ray-optics approximation
Reconfigurable ``circuits,''
Red probe
Reference frame
Refractive index change
Refractive index deformations
Refractive index distribution
second low-power probe and
Refractive index gradient
Refractive index perturbations
Refractive index profile
Refractive indices. See also Nonlinear induced refractive index
changes in
extraordinary
of PCB
in strongly NN media
temperature dependence of
Refractive perturbation
Regimes of interaction, accessing
Regular response function
Reorientation
in NLC-filled cells
saturation of
in the yz-plane
Reorientational dynamics, anisotropy in
Reorientational Kerr effect
Reorientational mechanism
Reorientational nematic liquid crystals
Reorientational nonlinearity
optically induced
time dependence of
Reorientational optical media, dispersive shock waves in
Reorientational response
Reorientational solitons, formation of
Reorientation dynamics
Reorientation equations
PDE system of
Repulsive potential well
Residori, Stefania
Resonance frequency
Resonant coupling
Resonant terms, with harmonic oscillators
Response functions
nonlocality through
Response kernels
Rest energy
Rotating beams
Rotating coordinate system
Rotational symmetry
Rotational viscosity
Routers. See also Self-routing
Rubbing, of glass- NLC interfaces
Ruling models, nonlinear
Rutkowska, Katarzyna A.
Saturable media
Saturable NLS equation. See also Nonlinear Schrdinger (NLS) equation (NLSE)
Saturn-like configuration
Scalar equation, for beam envelope evolution
Scalar geometries
Scalar parameters
Scalar paraxial propagation equation
Scalar perturbative model
Scale invariance
Scattering losses
Schrdinger- Poisson equations
Schrdinger- Poisson system
Schrdinger's equation. See also Nonlinear Schrdinger (NLS) equation (NLSE); Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
Schwarz- Christoffel map
Sciberras, Luke W.
Screening term
Sech (hyperbolic secant) beam profile
Sech initial condition
Sech profile
Sech trial function
Second harmonic (SH)
Second low-power probe, refractive index distribution and
Second-order perturbation
Secular terms
with harmonic oscillators
Self-action effects
Self-bending
Self-confined beam
Self-confined waves
Self-confinement
Self-defocusing
Self-effects
Self-escape
Self-focusing
balance of diffraction with
in a ChNLC cell
in the dye-doped NLC layer
Self-focusing angle
Self-focusing effects
Self-focusing Kerr-like effect
Self-focusing materials
Self-focusing media
Self-guided propagation, in stable nematicons
Self-induced fractional Fourier transform
Self-induced index well
Self-induced waveguide
Self-phase-modulation
Self-routing, power-dependent
Self-similar Hermite- Gaussian (HG) spatial solitons
two-dimensional
Self-similar method
Self-similar soliton solution
Self-similar waves
Self-similar Whittaker soliton functions
Self-steering. See Beam self-steering; Nematicon self-steering
Self-trapped beams
Self-trapped dipole-like beam
Self-trapped optical beams, in nonlocal nonlinear media
Self-trapped solitons
Self-trapped vortices
``Self-trapping,''
Self-waveguides
thermal vs. orientational
Semianalytical solutions
Separation of scales
Shape-preserving accessible solitons
Shape-preserving nonlinear wave packets
Shedding diffractive radiation. See also Diffractive radiation shedding
Shed low-wave-number diffractive waves
Shed radiation
Shelf of radiation (g)
extended
Shelf radius
Shelf term
Shock development, in a defocusing thermal medium
Short pulses, propagation of
Short-range interactions
phase-dependent
Signal beam trajectory, controlling
Signal processing routers
Signal steering, all-optical
Simple harmonic oscillator equation
Simple harmonic oscillators
Simplified (1 + 1)D model, in a planar cell
Sine- Gordon equation
Single beam propagation
Single-color vortices, destabilizing terms of
Single-hump nematicon profiles
Single-hump nematicons, existence curve for
Single-hump solitons
Single-layer necklace solitons
symmetric
Single resonance model
Singularities
Singular phase structure, of dipole azimuthons
6CHBT
Slowly varying envelope approximation (SVEA)
Slow-nonlocal nonlinearities
Slow scales
Smallness parameter
Smyth, Noel F.
Snyder- Mitchell approximation
Snyder- Mitchell limit
Snyder- Mitchell model
accessible soliton of
breather and soliton clusters of
proof of equivalence with strongly nonlocal model
Solitary wave
variational approximation for
via self-focusing
Solitary wave amplitudes
measurement of
Solitary wave beams, analyzing the motion of
Solitary wave clusters
Solitary wave energy states
Solitary wave evolution
Solitary waves
interaction between
in nematic liquid crystals
perturbation methods for
Solitary wave solutions
approximate
Soliton amplitudes
comparing
modulation equations vs.
Soliton-based optical switching
Soliton beams, total internal reflection of
Soliton behavior
Soliton ``center of mass,''
Soliton clusters, of Snyder- Mitchell model
Soliton cluster types
Soliton controlD configuration of
Soliton deflection
Soliton deviation
Soliton dynamics, optically controlled
Soliton eigenvalue
Soliton-enhanced frequency conversion
Soliton evolution
Soliton excitation
Soliton existence curve
Soliton families
in strongly nonlocal media
in strongly nonlocal nonlinear media
Soliton formation
experimental observation of
spontaneous
Soliton formation time
Soliton gating, by external beams
Soliton-induced perturbations
Soliton-induced waveguides
Soliton-like propagation regime
Soliton-like regime
Soliton operations, optical potential and
Soliton paths, control of. See also Soliton trajectories
Soliton perturbation theory
Soliton profiles
computing
Soliton propagation
in different layers
in 3D anisotropic media
Solitons. See also Accessible solitons; Bright solitons; Multi-soliton interactions; Nonlocal spatial optical solitons; Nonlocal spatial solitons; Spatial optical solitons; Spatial solitons; Strongly nonlocal spatial solitons; Vector solitons
accessible
colliding
complex-variable-function Gaussian
in doped NLCs
exact
as a gas of interacting particles
in-phase and out-of-phase
interactions of
long-range interaction of
``narrow'' and ``wide,''
phase difference between
short-range interaction of
temporal behavior of
ubiquitous nature of
varying
waveguide properties of
Soliton- soliton interaction, time evolution of
Soliton square distributions
Soliton stability
Soliton steering
maximizing
measurement of
Soliton switching, by external beams
Soliton trajectories. See also Soliton paths
computing
Soliton vortices
Soliton waist
Soliton walk-off, tuning
Soliton waveguide dispersion
Soliton waveguides
Soliton wave rotation
Space- time decoupling, of nonlinear dynamics
Spatial demultiplexer
Spatial gap solitons
Spatial light localization
Spatially incoherent beams
Spatially periodic refractive index modulation
Spatial nonlocal solitons
Spatial optical solitons
fluorescence recovery enhancement and
potential of
Spatial perturbation
Spatial profiles
Spatial self-localization
Spatial solitary waves
Spatial soliton creation, experimental results of
Spatial solitons. See also Nonlocal spatial solitons
applications of
creation of
in light valves
mathematical models of
modifying trajectories of
in nematic liquid crystals
in NLCs
rerouting
time dependence in NLCs
Spatiotemporal dynamics, in NLCs
Spatiotemporal solitons (STSs)
Speckled beam, input profile of
Spiraling nematicons
Spiral wave phase
Spontaneous pattern formation
Stability threshold
Stabilization mechanism
Stabilizing beam
Stable (3 + 1)D solitary waves
Stable bright solitons
Stable DSW
Stable light bullets
Stable nematicons
self-guided propagation in
Stable vector solitons
Stable vortex
evolution of
strong distortion of
Static external electric field
Static reorientation
Stationary soliton solutions
Steady nematicon profile
Steady nematicon state
Steady state, time to reach
Steady-state amplitude- width relation
for vortices
Steady-state light propagation
Steady-state transmission, of xenon light
Steady vortex relation
Steering, voltage required for
Steering angle
Stegeman, G. I.
Stimulated Raman scattering (SRS)
Strongly nonlocal limit
Strongly nonlocal media, soliton families in. See also Strongly nonlocal nonlinear (NN) media
Strongly nonlocal model, proof of equivalence with Snyder- Mitchell model
Strongly nonlocal NLSE. See also Nonlinear Schrdinger (NLS) equation (NLSE); Nonlocal nonlinear Schrdinger equation (NNLSE, NNSE)
Strongly nonlocal nonlinearity
Strongly nonlocal nonlinear (NN) media
beam behavior in
soliton families in
two-dimensional
Strongly nonlocal spatial solitons
features of
nematicons as
phenomenological theory of
Strong nonlocality
Structure tunability
STS propagation, conditions for stable. See also Spatiotemporal solitons (STSs)
Super-Gaussian field
Surface, attraction to
Surface energy
Switching
by external beams
protective
Switching behavior, influence of flow on
Switching-off times
Switching speed
Switching time(s)
of liquid crystals
Switching time equations
Symmetric breather
Symmetric multipole solitons
Symmetric response function
Symmetric single-layer necklace solitons
Symmetric soliton solutions
Symmetry-breaking instability
Taylor expansion
Taylor series
Temperature, optical properties and
Temperature gradient
controlling
Temporal modulation instability, in nematicons
Temporal nonlinearity
Temporal solitons
dark
TE-polarized beam
Theoretical predictions, experimental measurements vs.
Thermal coefficient of refraction
Thermal effects
atmosphere index of refraction and
Thermal equilibrium
Thermally induced nonlinear beam propagation
Thermal media
Thermal nonlinearity
Thermal nonlinear propagation
Thermal optical solitons, applications for
Thermal self-focusing
Thermal self-waveguides, orientational self-waveguides vs.
Thermal solitons
temporal evolution of
Thermo-optical effects
light propagation confined via
in media other than NLCs
physical aspect of
Thermo-optical solitons
Thermotropic energy
Thick NLC cells. See also Nematic liquid crystals (NLCs)
Third harmonic (TH) frequency
Three-bit digital router
Three-color Lagrange solution
linearized stability of
Three-color nematicon cluster
Three-color nematicon equations
Three-color potential, nonmonotonicity of
3D anisotropic media, soliton propagation in
3D model, numerical simulations of
3D solitons
Three-nematicon evolution
(3 + 1)D evolutionmodel
Threshold angular momentum
Tilt
Tilt angle
Time dependence, of spatial solitons in NLCs
Time-harmonic electric field
TM-like polarization
Topological charge
Topological reactions
Torque
measuring
Total internal reflection (TIR)
Goos- Hnchen-like shift on
of soliton beams
Total momentum conservation equations
Townes solitons
Train profile evolution ()
Trajectory changes
Transcendental equation
Transverse configurations
optical addressing in LCLV
Transverse intensity distribution
Transverse modulation
Transverse patterns
Traveling wave solution
Trial functions
choice of
decomposing
for the electrical field
fixed
modulation theory based on
Triangle solutions
Tunability, external voltage and
Tunable discreteness, systems with
Tunable one-dimensional photonic lattice
Tuning, of soliton walk-off
Tuning curves
Twisted nematic liquid crystals (TNLCs)
in creating spatial solitons
theoretical model of
Twisted nematicons
Twisted nematics
Two-beam interaction
Two-beam launch
Two-color equations, numerical solution of
``Two-color'' nematicons
evolution of
in-plane interaction of
Two-dimensional all-optical perturbation
Two-dimensional DSW. See also Dispersive shock waves (DSWs)
Two-dimensional (2D) Hermite- Gaussian (HG) functions
Two-dimensional Laguerre- Gaussian (LG) soliton families
Two-dimensional NN media, wave equation in. See also Nonlocal nonlinear (NN) media
Two-dimensional (2D) QHO. See also Quantum harmonic oscillator (QHO)
Two-dimensional self-similar Hermite- Gaussian (HG) spatial solitons
Two-dimensional soliton solutions
Two-dimensional spatial solitons
Two-dimensional strongly NN media
Two-dimensional Whittaker solitons
Two-nematicon clusters
(2 + 1)D complete model
(2 + 1 + 1)D nonlinear wave propagation, in Kerr media
(2 + 1 + 1)D optical bullets
(2 + 1 + 1)D solitary waves
(2 + 1 + 1)D soliton solution
Two timing assumption
``Two timing'' form
Two-wave mixing experiments
Unbiased NLC cells
Undular bore
Uniform soliton theory
Uniform soliton theory results, comparison with numerical solutions
Uniform wave train
Unstable DSW. See also Dispersive shock waves (DSWs)
Unstable one-color azimuthon
Unstable vortices
Vacuum point
Variational equations
Variation of parameters
Varying solitons
Vector breathers, optical multiband
Vectorial nematicons
Vector solitons
Velocity components, of liquid crystal flows
Velocity drifts
Voltage
breathing period dependence vs.
required for steering
Voltage-controllable degree
Voltage-controllable interactions
Voltage-controlled soliton steering
Voltage-defined interfaces
nematicon interaction with
Voltages, in-phase
Voltage-tunable architectures
Vortex- beam interaction, vortex stabilization by
Vortex beams
astigmatic transformation of
Vortex cluster interactions
Vortex destabilization
Vortex ``doughnut,''170
Vortex evolution
modulation theory analysis of
in nonlocal media
Vortex instability
Vortexlike initial conditions, evolution of
Vortex lines, dynamic behavior of
Vortex profile
Vortex propagation
analysis of
in local media
Vortex-ring WS solitons
Vortex- shelf resonance
Vortex solutions
Vortex stability
Vortex stabilization
nonlocality and
in nonlocal nonlinear media
by vortex- beam interaction
Vortex-type solutions
Vortex-type structures, in coupled waveguides
Vortices
azimuthally dependent
in bounded cells
in cell walls
equations governing
having angular momentum
in nematic liquid crystals
steady-state amplitude- width relation for
Vorticity
Waist, quasi-sinusoidal oscillation in. See also Beam waist; Input beam waist; Nematicon waist
Waist-independent soliton path
Waist oscillations
Waist-power
Walk-off. See also Beam walk-off; Nematicon walk-off; Soliton walk-off
altering
apparent
changes in
linear
modifying with a voltage bias
nonlinear changes in
nonlinear changes in
power-dependent
role of
Walk-off angles
Walk-off reference system
Walk-off term
Walk-off variations
Warenghem, Marc
Wave cutoff behavior
Wave equations
in 2D NN media
Wave evolution in higher dimensions, theoretical approaches to
Waveguide arrays, in nematic liquid crystals
Waveguides
multimode nematicon-induced
nonuniform
Wave packet propagation
Wave trains
Wave-vector components, conservation of
Wave vector deviation
Wave vector mismatches
Weakly nonlocal medium, nonlinear light propagation in
Weak nonlocality
Whitham modulation theory
Whittaker differential equation
Whittaker functions
Whittaker solitons (WSs)
Gaussian
two-dimensional
Whittaker soliton (WS) solutions
``Wide'' solitons
Worthy, Annette L.
Xenon light, steady-state transmission of
X junction
all-optical
excitation-dependent
XNOR gate
Y junction
Yukawa equations
z-dependent solutions
Zener model
Zero-boundary condition
Zero initial velocity
Zero-order perturbation
Zhong, Wei-Ping
z-independent QHO
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