Electrodynamic spherical harmonic
Andrey Novitsky
TL;DR
This paper introduces the electrodynamic spherical harmonic, a tensor function that simplifies solving Maxwell's equations by separating variables and facilitating boundary problem solutions on spherical surfaces.
Contribution
It presents the formulation and orthonormalization of electrodynamic spherical harmonics, enabling easier boundary problem solutions in electromagnetic theory.
Findings
Electrodynamic spherical harmonic is a second rank tensor in 3D space.
It allows separation of radial and angular variables in Maxwell's equations.
Orthonormalization simplifies boundary problem solutions on spheres.
Abstract
Electrodynamic spherical harmonic is a second rank tensor in three-dimensional space. It allows to separate the radial and angle variables in vector solutions of Maxwell's equations. Using the orthonormalization for electrodynamic spherical harmonic, a boundary problem on a sphere can be easily solved.
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Taxonomy
TopicsMetamaterials and Metasurfaces Applications · Quantum and Classical Electrodynamics · Electromagnetic Scattering and Analysis