Unveiling the Bright Spot with Mie Scattering

Fuente: arXiv
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Autores principales: de Souza, Vinícius dos Passos, Neves, Antonio Alvaro Ranha
Formato: Preprint
Publicado: 2025
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author de Souza, Vinícius dos Passos
Neves, Antonio Alvaro Ranha
author_facet de Souza, Vinícius dos Passos
Neves, Antonio Alvaro Ranha
contents This work applies Mie scattering theory to provide a new perspective on the propagation of light through a spherical obstacle, offering a novel explanation for the formation of the Poisson spot (also known as the Arago or Fresnel spot). We demonstrate that the diffraction patterns generated by a sphere and by a circular disk can be understood as complementary outcomes of the same underlying scattering process. Our analysis highlights the constructive interference responsible for the bright central spot, and extends the classical wave optics framework by connecting it directly with the scattering coefficients of spherical harmonics. This approach not only deepens the theoretical understanding of diffraction phenomena, but also provides a practical framework that may be applied in modern optical experiments and photonic device design.
format Preprint
id arxiv_https___arxiv_org_abs_2510_05948
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unveiling the Bright Spot with Mie Scattering
de Souza, Vinícius dos Passos
Neves, Antonio Alvaro Ranha
Optics
This work applies Mie scattering theory to provide a new perspective on the propagation of light through a spherical obstacle, offering a novel explanation for the formation of the Poisson spot (also known as the Arago or Fresnel spot). We demonstrate that the diffraction patterns generated by a sphere and by a circular disk can be understood as complementary outcomes of the same underlying scattering process. Our analysis highlights the constructive interference responsible for the bright central spot, and extends the classical wave optics framework by connecting it directly with the scattering coefficients of spherical harmonics. This approach not only deepens the theoretical understanding of diffraction phenomena, but also provides a practical framework that may be applied in modern optical experiments and photonic device design.
title Unveiling the Bright Spot with Mie Scattering
topic Optics
url https://arxiv.org/abs/2510.05948