title: A relationship between the waveguide invariant and wavenumber integration.
abstract: 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.
authors.affiliation: Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Kevin L
authors.initials: KL
authors.lastname: Cockrell
authors.forename: Henrik
authors.initials: H
authors.lastname: Schmidt
mesh_terms: D000162:Acoustics; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D011312:Pressure; D013016:Sound