Rigorous justification of a localized approximation to encode off-axis Gaussian acoustical beams

Author:

Gouesbet Gérard1,Ambrosio Leonardo André2ORCID

Affiliation:

1. Complexe de Recherche Interprofessionnel en Aérothermochimie, Unité Mixte de Recherche 6614, Normandie Université, Centre National de la Recherche Scientifique, Institut National des Sciences Appliquées de Rouen 1 , Campus Universitaire du Madrillet, 76800, Saint-Etienne du Rouvray, France

2. Department of Electrical and Computer Engineering, São Carlos School of Engineering, University of São Paulo 2 , 400 Trabalhador São-Carlense Avenue, 13566-590, São Carlos, Sao Paulo, Brazil

Abstract

With the model of generalized Lorenz-Mie theory (GLMT) and the extended boundary condition method, describing the interaction between electromagnetic (EM) waves (more specifically laser beams) and particles, an acoustical GLMT-like framework can be used to deal with acoustical wave scattering. The incident acoustical wave may then be encoded in a set of beam shape coefficients (BSCs) similar to the ones used in EM scattering. Following a paper devoted to the evaluation of acoustical BSCs using a localized approximation in the case of on-axis Gaussian acoustical beams, the present paper deals with the evaluation of acoustical BSCs in the case of off-axis Gaussian acoustical beams.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

Acoustical Society of America (ASA)

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