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. 2020 Jul;148(1):191.
doi: 10.1121/10.0001518.

Scattering by a sphere in a tube, and related problems

P A Martin  1 , A T Skvortsov  2
Affiliations

Scattering by a sphere in a tube, and related problems

P A Martin et al. J Acoust Soc Am. 2020 Jul.

Abstract

Time-harmonic waves propagate along a cylindrical waveguide in which there is an obstacle. The problem is to calculate the reflection and transmission coefficients. Simple explicit approximations are found assuming that the waves are long compared to the diameter of the cross-section d. Simpler but useful approximations are found when the lateral dimensions of the obstacle are small compared to d. Results for spheres, discs, and spheroids are given.

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