The relation between the waveguide invariant and array invariant

TitleThe relation between the waveguide invariant and array invariant
Publication TypeJournal Article
Year of Publication2015
AuthorsSong HC, Cho C
JournalThe Journal of the Acoustical Society of America
Date Published2015/08
Keywordsacoustic arrays; acoustic wave interference; acoustic waveguides

The waveguide invariant ββ is based on the dependence of group speed on phase speed and summarizes the robust interference phenomenon in the range-frequency plane. Over the last decade the elegant approach has been utilized for various applications including passive source ranging. Separately, the array invariant approach [Lee and Makris, J. Acoust. Soc. Am. 119, 336–351 (2006)] has been proposed for a robust source-range estimator from beam-time intensity data using either a horizontal or vertical array. In this paper, it is shown that the array invariant can be derived from the waveguide invariant theory assuming β=1β=1 .

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