A relationship between the waveguide invariant and wavenumber integration.
The waveguide invariant is typically defined using of normal modes or ray theory, but it can also be related to the wavenumber-integration method for calculating the acoustic field in a waveguide. In this letter, the Wiener-Khinchin Theorem is used to show that the autocorrelation of the wavenumber-integration kernel, when plotted versus wavenumber difference and frequency, contains striations that can be described by the waveguide invariant.
Cockrell
Kevin L
KL
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Schmidt
Henrik
H
D000162:Acoustics; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D011312:Pressure; D013016:Sound