ArticleFrontiers of optoelectronics2023
Efficient and accurate numerical-projection of electromagnetic multipoles for scattering objects.
Article in Frontiers of optoelectronics, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Electrically Tunable Second-Harmonic Generation in High-Q Organic DAST All-Dielectric Nonlinear Metasurfaces.Nanomaterials (Basel, Switzerland) · 2026Article
- Electromagnetic Multipole Theory for Two-Dimensional Photonics.ACS photonics · 2025Article
- 3D evolutionarily designed metamaterials for scattering maximization.Communications engineering · 2025Article
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5 authors.
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Abstract
In this paper, we develop an efficient and accurate procedure of electromagnetic multipole decomposition by using the Lebedev and Gaussian quadrature methods to perform the numerical integration. Firstly, we briefly review the principles of multipole decomposition, highlighting two numerical projection methods including surface and volume integration. Secondly, we discuss the Lebedev and Gaussian quadrature methods, provide a detailed recipe to select the quadrature points and the corresponding weighting factor, and illustrate the integration accuracy and numerical efficiency (that is, with very few sampling points) using a unit sphere surface and regular tetrahedron. In the demonstrations of an isotropic dielectric nanosphere, a symmetric scatterer, and an anisotropic nanosphere, we perform multipole decomposition and validate our numerical projection procedure. The obtained results from our procedure are all consistent with those from Mie theory, symmetry constraints, and finite element simulations.
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