Scattering by a sphere in a tube, and related problems
P. A. Martin, Alexei T. Skvortsov
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.
Topics & Concepts
ObstacleSPHERESScatteringReflection (computer programming)Simple (philosophy)PhysicsHarmonicWaveguideCross section (physics)Tube (container)Transmission (telecommunications)Section (typography)OpticsMathematical analysisClassical mechanicsMathematicsAcousticsComputer scienceMaterials scienceTelecommunicationsQuantum mechanicsEpistemologyAstronomyOperating systemPolitical scienceLawPhilosophyProgramming languageComposite materialUltrasonics and Acoustic Wave PropagationGeophysical Methods and ApplicationsSeismic Waves and Analysis