Plane Wave Expansion
Tags: #math #plane wave expansionEquation
$$\exp(ikz)=\exp(ikr\cos \theta=\sum^{\infty}_{l=0}(2l+1)i^{l}j_{l}(kr)P_{l}(\cos \theta)$$Latex Code
\exp(ikz)=\exp(ikr\cos \theta=\sum^{\infty}_{l=0}(2l+1)i^{l}j_{l}(kr)P_{l}(\cos \theta)
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Introduction
Explanation
: Legendre polynomials;
: spherical Bessel functions as
.
is the Bessel function of order l.
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I've done everything I can, now I just need to pass this exam.
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