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2006•arXiv (Cornell University)Open access

Sound beam through a circular aperture and the far-field nonparaxial regime

Manas Kumar Roy

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Abstract

Propagation of sound beam diffracted from a circular aperture in far-field region has been studied in this paper by the method of angular spectrum representation and stationary phase method. This nonparaxial theory is useful when beam angle is not very small and the wavelength $λ$ is comparable to aperture diameter $a$ unlike the situation in paraxial approximation. Here we have studied two cases, one for a Gaussian source and other for a plane piston source.

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Propagation of sound beam diffracted from a circular aperture in far-field region has been studied in this paper by the method of angular spectrum representation and stationary phase method. This nonparaxial theory is useful when beam angle is not very small and the wavelength $λ$ is comparable to aperture diameter $a$ unlike the situation in paraxial approximation. Here we have studied two cases, one for a Gaussian source and other for a plane piston source.

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Available abstract

Propagation of sound beam diffracted from a circular aperture in far-field region has been studied in this paper by the method of angular spectrum representation and stationary phase method. This nonparaxial theory is useful when beam angle is not very small and the wavelength $λ$ is comparable to aperture diameter $a$ unlike the situation in paraxial approximation. Here we have studied two cases, one for a Gaussian source and other for a plane piston source.

Key concepts: Near and far field, Sound (geography), Beam (structure), Aperture (computer memory), Acoustics, Field (mathematics), Physics, Telecommunications

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