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Rigorous justification of a localized approximation to encode on-axis Gaussian acoustical waves
Ist Teil von
The Journal of the Acoustical Society of America, 2023-08, Vol.154 (2), p.1062-1072
Ort / Verlag
Acoustical Society of America
Erscheinungsjahr
2023
Link zum Volltext
Quelle
AIP Journals Complete
Beschreibungen/Notizen
Generalized Lorenz–Mie theory (GLMT) describes the interaction between electromagnetic waves (more specifically, laser beams) and homogeneous spherical 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 electromagnetic scattering. One method to evaluate the acoustical BSCs is the localized approximation which takes the form of a variant of a localized approximation used to evaluate the electromagnetic BSCs. These acoustical BSCs are discussed and rigorously justified in the case of on-axis Gaussian beams. Examples of field reconstruction and remodeling using the localized approximation are presented which reinforce the robustness of such a method for very small confinement parameters. We expect that the results presented here will encourage a wider use of localized approximation schemes in acoustic scattering problems.