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A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
Published on: June 1, 2022
An alternative approach to modeling radiation from baffled circular pistons (L)
Chirag A Gokani1,2, Randall P Williams1,2, Michael R Haberman1,2
1Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78766-9767, USA.
None:
The study of radiation from baffled circular pistons often begins with the Rayleigh integral. The present letter offers an alternative derivation of the Rayleigh integral by solving the Helmholtz equation for a baffled circular piston in an infinitely large cylindrical waveguide. While the Rayleigh integral is typically interpreted as a sum of simple sources, the present derivation shows that the Rayleigh integral can also be cast as a sum of Bessel beams. The alternative formulation is used to recover the axial pressure radiated by a baffled circular piston and solve the Helmholtz equation numerically for a vortex beam.
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