Abstract
The noncollinear interaction of a tone with noise is investigated experimentally in an air‐filled rectangular duct. A low‐frequency band of noise in the (0,0) mode interacts with a high‐frequency pure tone in the (1,0) mode. A quasilinear theory developed by Hamilton and TenCate [J. Acoust. Soc. Am. 81, 1703–1712 (1987)] for the noncollinear interaction of two pure tones is generalized to predict the sum and difference frequency sidebands of noise created around the high‐frequency tone. When two pure tones interact, the resulting sum and difference frequency sound oscillates in space with a periodicity that depends on the frequencies and interaction angle of the primary waves. The band of low‐frequency noise is thus upshifted to sidebands whose spectral shapes are scalloped in appearance. The scalloping becomes more pronounced with range from the source, and increasing the interaction angle reduces the overall levels of the sidebands. Theory and experiment are shown to be in good general agreement. [Work supported by NSF and by ONR.]
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