Mie scattering with 3D angular spectrum method

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openAccess

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Journal Title

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2023-10-31

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Mcode

Degree programme

Language

en

Pages

13
38653-38665

Series

Optics Express, Volume 31, issue 23

Abstract

Mie theory is a powerful method to model electromagnetic scattering from a multilayered sphere. Usually, the incident beam is expanded to its vector spherical harmonic representation defined by beam shape coefficients, and the multilayer sphere scattering is obtained by the T-matrix method. However, obtaining the beam shape coefficients for arbitrarily shaped incident beams has limitations on source locations and requires different methods when the incident beam is defined inside or outside the computational domain or at the scatterer surface. We propose a 3D angular spectrum method for defining beam shape coefficients from arbitrary source field distributions. This method enables the placement of the sources freely within the computational domain without singularities, allowing flexibility in beam design. We demonstrate incident field synthesis and spherical scattering by comparing morphology-dependent resonances to known values, achieving excellent matching and high accuracy. The proposed method has significant benefits for optical systems and inverse beam design. It allows for the analysis of electromagnetic forward/backward propagation between optical elements and spherical targets using a single method. It is also valuable for optical force beam design and analysis.

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Keywords

Mie scattering, Electromagnetism, Angular Spectrum method

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Citation

Lamberg, J, Tamminen, A, Taylor, Z & Ala-Laurinaho, J 2023, ' Mie scattering with 3D angular spectrum method ', Optics Express, vol. 31, no. 23, pp. 38653-38665 . https://doi.org/10.1364/OE.504791