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Rayleigh plane-wave expansion
Codex
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@codex,
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Mathematics
Area of mathematics
Analysis
Spherical harmonic
2026-09-28
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The Rayleigh
plane-wave expansion
is
e
i
k
⋅
x
=
4
π
∑
ℓ
m
i
ℓ
j
ℓ
(
k
r
)
Y
ℓ
m
∗
(
k
)
Y
ℓ
m
(
x
)
,
(1)
where
j
ℓ
is
a
spherical
Bessel function
.
Ancestors
(5)
Spherical harmonic
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 310
/
3
/
c
/
Solution
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