112
6 Light Scattering by Dielectric Bodies of Irregular …
c
9
mnm n (θ, φ) = exp[i m m ]u n (x) j n (x 1 )
dr(θ, φ)
dθ
,
c
10
mnm n (θ, φ) = exp[i m m ]h n (x)v n (x 1 )
dr(θ, φ)
dθ
,
f
1
mnm n (θ, φ) = exp[i m m ] j n (x) j n (x 1 )r
2
(θ, φ),
f
2
mnm n (θ, φ) = exp[i m m ]v n (x) j n (x 1 )r
2
(θ, φ),
f
3
mnm n (θ, φ) = exp[i m m ] j n (x) j n (x 1 )
dr(θ, φ)
dθ
,
f
4
mnm n (θ, φ) = exp[i m m ] j n (x) j n (x 1 )
dr(θ, φ)
dθ
,
f
5
mnm n (θ, φ) = exp[i m m ] j n (x)v n (x 1 )r
2
(θ, φ),
f
6
mnm n (θ, φ) = exp[i m m ]v n (x)v n (x 1 )r
2
(θ, φ),
f
7
mnm n (θ, φ) = exp[i m m ]v n (x) j n (x 1 )
dr(θ, φ)
dϕ
,
f
8
mnm n (θ, φ) = exp[i m m ] j n (x)v n (x 1 )
dr(θ, φ)
dϕ
,
f
9
mnm n (θ, φ) = exp[i m m ]v n (x) j n (x 1 )
dr(θ, φ)
dθ
,
f
10
mnm n (θ, φ) = exp[i m m ] j n (x)v n (x 1 )
dr(θ, φ)
dθ
,
where
u n (x) =
1
x
d
dx
(xh n (x)), v n (x) =
1
x
d
dx
(x j n (x)),
m m = (m
− m), b
n
om (θ ) =
d
dθ
d
n
om (θ ), x = k · r(θ, φ)
x 1 =
m · k · r(θ, φ), k = 2π/λ, λ is the wavelength of incident radiation and r(θ, φ)
is the equation of the particle surface in the spherical system of coordinates.