Optimization of time reversal focusing in resonant and non-resonant systems through various signal processing techniques

Abstract

This research optimizes a time reversal focus of energy in terms of amplitude and quality by exploring several signal processing techniques applied to the reversed impulse response. Techniques explored here include deconvolution or inverse filtering [M. Tanter et al., J. Acoust. Soc. Am. 108, 223-234 (2000)], one-bit time reversal [A. Derode et al., J. Appl. Phys. 85, 6343-6352 (1999)], and a new technique termed “clipping.” A parameterization study comparing the maximum focal amplitude and focal temporal quality of time reversal focal signals for these techniques with different settings will be presented. Focal signals are explored in two different systems. The first is a resonant system comprised of a steel sample with a piezoelectric transducer and a scanning laser Doppler vibrometer (SLDV). The second, nominally non-resonant system, comprises a studio monitor loudspeaker and a precision microphone in a reverberant space above the Schroeder frequency. Comparing the focal quality of various time reversal techniques in two starkly different systems shows the optimal conditions for focusing in each system.