An approach for a polychromatic generalized Lorenz-Mie theory

Author(s)

Ambrosio, Leonardo A. ; de Sarro, Jhonas O. ; Gouesbet, Gerard

• Document type: Journal article
• Source: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 312, p. 11-pg., 2023-11-06.

Abstract

In this work a polychromatic version of the generalized Lorenz-Mie theory stricto sensu (GLMT) is derived. In this new formalism, arbitrary time-dependent fields are expanded into partial waves using Bromwich scalar potentials and, instead of the usual expansion coefficients - the beam shape coefficients (BSCs) - found in the monochromatic GLMT, now one finds field shape spectra (FSSs) which are intrinsically frequency-dependent. Expressions for the incident, scattered and internal fields are presented, and it is shown how physical quantities defined and expressed in the monochromatic GLMT in terms of the BSCs are modified and redefined in terms of the FSSs in polychromatic light scattering problems, like scattered intensities and phase angles, absorption, extinction and scattering cross-sections, and radiation pressure cross-sections. (AU)

• FAPESP's process: 21/06121-0 - Electromagnetic wave propagation through complex structures
• Grantee: Ben-Hur Viana Borges
• Support Opportunities: Regular Research Grants
• FAPESP's process: 20/05280-5 - Frozen wave-type structured beams: theoretical and experimental aspects in 2D and 3D imaging, optical tweezers and in photophoretic traps for application in optical trapping displays
• Grantee: Leonardo Andre Ambrosio
• Support Opportunities: Regular Research Grants