Plane Wave Expansion

Tags: #math #plane wave expansion

Equation

$$\exp(ikz)=\exp(ikr\cos \theta=\sum^{\infty}_{l=0}(2l+1)i^{l}j_{l}(kr)P_{l}(\cos \theta)$$

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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    2023-02-04 00:00

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