Nonreciprocal and even Willis couplings in periodic thermoacoustic amplifiers
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Title
Nonreciprocal and even Willis couplings in periodic thermoacoustic amplifiersAuthor (s)
Date
2021-11-10Publisher
American Physical SocietyBibliographic citation
OLIVIER, Côme, et al. Nonreciprocal and even Willis couplings in periodic thermoacoustic amplifiers. Physical Review B, 2021, vol. 104, no 18, p. 184109.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionAbstract
hermoacoustic amplifiers are analyzed in the framework of nonreciprocal Willis coupling. The closed form
expressions of the effective properties are derived, showing that an applied temperature gradient causes ... [+]
hermoacoustic amplifiers are analyzed in the framework of nonreciprocal Willis coupling. The closed form
expressions of the effective properties are derived, showing that an applied temperature gradient causes the
appearance of a nonreciprocal Willis coupling. Even and nonreciprocal Willis couplings are exhibited already
in the first-order Taylor expansion of the solution and are of equal modulus but opposite sign, thus suggesting
that the even Willis coupling is a reaction to the nonreciprocity introduced by the temperature gradients. These
Willis couplings cause a coalescence point in the k space, which deviates from Re(k) = 0 (with k the wave
number) and is thus a zero-group-velocity point, as well as the opening of an amplification gap at low frequency.
Effective parameters and scattering properties are found in excellent agreement with experimental results. This
article paves the way to further control the acoustic waves at very low frequencies with nonreciprocal systems. [-]
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Physical Review B, Vol. 104, Iss. 18, November 2021Rights
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