xv
Symbols
a Dimension of the length for bispherical coordinates (m)
B Magnetic flux density (T)
B
n
Normal component of the magnetic flux density
B
r
; B
; B
'
Components of flux density in spherical coordinates
B
ˇ
; B
; B
Components of flux density in bispherical coordinates
C; C
0
; D; D
0
Series coefficients for the outside quantities
E; E
0
Series coefficients for the inside quantities
f Scalar magnetic potential (A)
H
0
External magnetic field intensity (Am
1
)
H Magnetic field intensity (Am
1
)
H
r
; H
; H
'
Components of field intensity in spherical coordinates
H
ˇ
; H
; H
Components of field intensity in bispherical coordinates
N Positive integer
p A point inside the particle
P A point outside the particle
P
n
.˛/ Legendre polynomials of first kind, degree n, and argument ˛
P
0
n
.˛/ First derivatives of Legendre polynomials with respect to argument ˛
P
m
n
.˛/ Associated Legendre functions of first kind, degree n, order m
P
m 0
n
.˛/ First derivatives of associated Legendre functions
r
i
Distance from center of particle i to a selected point (m)
.r; ; '/ Spherical coordinates system
Or;
O
; O' Unit vectors for the spherical coordinates
xvi SYMBOLS
R
i
Radius of the particle i
.x; y; z/
Cartesian coordinates system
Ox; Oy; Oz Unit vectors for Cartesian coordinates
˛ An argument between -1 and 1
.ˇ; ; / Bispherical coordinates system
O
ˇ; O;
O
Unit vectors for the bispherical coordinates
ˆ Scalar magnetic potential outside the particles
‰ Scalar magnetic potential inside the particle
0
Permeability of the medium outside
; ƒ; Defined by the equations
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