2002Journal of Mathematical PhysicsRequires access

Multipole expansion of a plane wave

G. F. Torres del Castillo, F. J. Hernández-Moreno

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Abstract

The spherical components of the multipole expansion of a plane wave with arbitrary spin are obtained in terms of spin-weighted spherical harmonics. It is shown that the expansion coefficients are essentially spin-weighted spherical harmonics evaluated at the direction of propagation of the wave.

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What this paper is about

The spherical components of the multipole expansion of a plane wave with arbitrary spin are obtained in terms of spin-weighted spherical harmonics. It is shown that the expansion coefficients are essentially spin-weighted spherical harmonics evaluated at the direction of propagation of the wave.

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Available abstract

The spherical components of the multipole expansion of a plane wave with arbitrary spin are obtained in terms of spin-weighted spherical harmonics. It is shown that the expansion coefficients are essentially spin-weighted spherical harmonics evaluated at the direction of propagation of the wave.

Key concepts: Multipole expansion, Spherical multipole moments, Spherical harmonics, Spin-weighted spherical harmonics, Vector spherical harmonics, Zonal spherical harmonics, Solid harmonics, Physics

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