Gap Shear Waves in Quasi PT-Symmetric Piezoelectric Heterostructure Near the Point of Mode Generation

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Abstract

The propagation of slit shear waves in the quasi-symmetric structure of piezoelectrics of the 4mm symmetry class has been theoretically investigated. It has been shown that taking into account the unequal level of losses and amplification in piezoelectrics leads in the shear wave spectrum either to an intersection, or to a touch, or to a convergence of two modes at the point of their degeneracy (singular point). It is established that the intersection of the mode spectra occurs only in the case of equal loss and gain values (PT is a symmetric structure). Based on this, it is concluded that by the nature of the spectra near a singular point, it is possible to determine the level of imbalance of gain and loss in piezoelectric waveguides. As in the case of a purely PT-symmetric structure, the frequency dependence of the amplitude at an exceptional point of a quasi PT-symmetric structure (with a fairly small difference in loss and gain levels) has a very narrow peak, which opens up the possibility of creating hypersensitive sensors based on them. Thus, it is demonstrated that even with unequal levels of loss and gain in piezoelectrics (quasi PT-symmetric structure), it is possible to obtain a structure with all the properties of a PT-symmetric structure.

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About the authors

E. A. Vilkov

Fryazino Branch of the V.A. Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences

Author for correspondence.
Email: e-vilkov@yandex.ru
Russian Federation, Fryazino

O. A. Byshevsky-Konopko

Fryazino Branch of the V.A. Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences

Email: e-vilkov@yandex.ru
Russian Federation, Fryazino

D. V. Kalyabin

V.A. Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Email: e-vilkov@yandex.ru
Russian Federation, Moscow; Dolgoprudny

S. A. Nikitov

V.A. Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology; Saratov State University

Email: e-vilkov@yandex.ru
Russian Federation, Moscow; Dolgoprudny; Saratov

References

  1. Miao H., Li F. Shear horizontal wave transducers for structural health monitoring and nondestructive testing: A review // Ultrasonics. 2021. V. 114. P. 106355.
  2. Xu D., Cai F., Chen M., Li F., Wang C., Meng L., Xu D., Wang W., Wu J., Zheng H. Acoustic manipulation of particles in a cylindrical cavity: Theoretical and experimental study on the effects of boundary conditions // Ultrasonics. 2019. V. 93. P. 18–25.
  3. Peng X., He W., Xin F., Genin G.M., Lu T.J. The acoustic radiation force of a focused ultrasound beam on a suspended eukaryotic cell // Ultrasonics. 2020. V. 108. P. 106205.
  4. Zeng L., Zhang J., Liu Y., Zhao Y., Hu N. Asymmetric transmission of elastic shear vertical waves in solids // Ultrasonics. 2019. V. 96. P. 34–39.
  5. Shi P., Chen C.Q., Zou W.N. Propagation of shear elastic and electromagnetic waves in one dimensional piezoelectric and piezomagnetic composites // Ultrasonics. 2015. V. 55. P. 42–47.
  6. Vinyas M. Computational Analysis of Smart Magneto-Electro-Elastic Materials and Structures: Review and Classification // Arch. Computat. Methods. Eng. 2021. V. 28. P. 1205–1248.
  7. Avetisyan A.S. Electroacoustic Waves in Piezoelectric Layered Composites, in Advanced Structured Materials, Switzerland: Springer Cham, 2023. V. 182. 223 p.
  8. Monsivais G., Otero J.A., Calás H. Surface and shear horizontal waves in piezoelectric composites // Phys. Rev. B. 2005. V. 71. P. 064101.
  9. Darinskii A.N., Shuvalov A.L. Existence of surface acoustic waves in one-dimensional piezoelectric phononic crystals of general anisotropy // Phys. Rev. B. 2019. V. 99. P. 174305.
  10. Shuvalov A.L., Gorkunova A.S. Transverse acoustic waves in piezoelectric and ferroelectric antiphase superlattices // Phys. Rev. B. 1999. V. 59. P. 9070.
  11. Гуляев Ю.В., Плесский В.П. Щелевые акустические волны в пьезоэлектрических материалах // Акуст. журн. 1977. Т. 23. № 5. С. 716–723.
  12. Балакирев М.К., Горчаков А.В. Связанные поверхностные волны в пьезоэлектриках // ФТТ. 1977. Т. 19. № 2. С. 613–614.
  13. Pyatakov P.A. Shear horizontal acoustic waves at the boundary of two piezoelectric crystals separated by a liquid layer // Acoust. Phys. 2001. V. 47. № 6. P. 739–745.
  14. Dvoesherstov M. Yu., Cherednik V.I., Petrov S.G., Chirimanov A.P. Numerical analysis of the properties of slit electroacoustic waves // Acoust. Phys. 2004. V. 50. № 6. P. 670–676.
  15. Guliy O., Zaitsev B., Teplykh A., Balashov S., Fomin A., Staroverov S., Borodina I. Acoustical Slot Mode Sensor for the Rapid Coronaviruses Detection // Sensors. 2021. V. 21. № 5. P. 1822.
  16. Гулий О.И., Зайцев Б.Д., Ларионова О.С., Алсовэйди А.М., Караваева О.А., Петерсон А.М., Бородина И.А. Анализ антибактериальной активности амоксициллина биологическим датчиком с щелевой акустической волной // Антибиотики и Химиотерапия. 2021. Т. 66. № 1–2. С. 12–18.
  17. Borodina I.A., Zaitsev B.D., Burygin G.I., Guliy O.I. Sensor based on the slot acoustic wave for the non-contact analysis of the bacterial cells — Antibody binding in the conducting suspensions // Sensors and Actuators B Chemical. 2018. V. 268. P. 217–222.
  18. Borodina I.A., Zaitsev B.D., Teplykh A.A. The influence of viscous and conducting liquid on the characteristics of the slot acoustic wave // Ultrasonics. 2018. V. 82. P. 39–43.
  19. Inone M., Moritake H., Toda K. and Yoshino K. Viscosity Measurement of Ferroelectric Liquid Crystal Using Shear Horizontal Wave Propagation in a Trilayer Structure // Jpn. J. Appl. Phys. 2000. V. 39 № 9B. P. 5632–5636.
  20. Ricco A.J. and Martin S.J. Acoustic wave viscosity sensor // Appl. Phys. Lett. 1987. V. 50. № 21. P. 1474–1476.
  21. Kondoh J., Saito K., Shiokawa S., Suzuki H. Simultaneous Measurements of Liquid Properties Using Multichannel Shear Horizontal Surface Acoustic Wave Microsensor // Jpn. J. Appl. Phys. 1996. V. 35. № 5S. P. 3093–3096.
  22. Bender C.M., Boettcher S. Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry // Phys. Rev. Lett. 1998. V. 80. № 24. P. 5243–5246.
  23. El-Ganainy R., Makris K.G., Christodoulides D.N., Musslimani Z.H. Theory of coupled optical PT-symmetric structures // Opt. Lett. 2007. V. 32. № 17. P. 2632–2634.
  24. Zyablovsky A.A., Vinogradov A.P., Pukhov A.A., Dorofeenko A.V., Lisyansky A.A. PT-symmetry in optics // Phys. Usp. 2014. V. 57. № 11. P. 1063–1082.
  25. Schindler J., Lin Z., Lee J.M., Ramezani H., Ellis F.M., Kottos T. PT-symmetric electronics // J. Phys. A Math. Theor. 2012. V. 45. № 44. P. 444029.
  26. Deymier P.A. Acoustic Metamaterials and Phononic Crystals. Germany: Springer Berlin, 2013. 378 p.
  27. Galda A., Vinokur V.M. Parity-time symmetry breaking in magnetic systems // Phys. Rev. B. 2016. V. 94. P. 020408.
  28. Wu J., Liu F., Sasase M., Ienaga K., Obata Y., Yukawa R., Horiba K., Kumigashira H., Okuma S., Inoshita T., Hosono H. Natural van der Waals heterostructural single crystals with both magnetic and topological properties // Sci. Adv. 2019. V. 5. № 11. P. 1–6.
  29. Temnaya O.S., Safin A.R., Kalyabin D.V., Nikitov S.A. Parity-Time Symmetry in Planar Coupled Magnonic Heterostructures // Phys. Rev. Applied. 2022. V. 18. P. 014003.
  30. Sadovnikov A.V., Zyablovsky A.A., Dorofeenko A.V., Nikitov S.A. Exceptional-Point Phase Transition in Coupled Magnonic Waveguides // Phys. Rev. Applied. 2022. V. 18. P. 024073.
  31. Doronin I.V., Zyablovsky A.A., Andrianov E.S., Pukhov A.A., Vinogradov A.P. Lasing without inversion due to parametric instability of the laser near the exceptional point // Phys. Rev. A. 2019. V. 100. P. 021801(R).
  32. Wang X., Guo G., Berakdar I. Steering magnonic dynamics and permeability at exceptional points in a parity–time symmetric waveguide // Nat. Commun. 2020. V. 11. P. 5663.
  33. Guo A., Salamo G.J., Duchesne D., Morandotti R., Volatier-Ravat M., Aimez V., Siviloglou G.A., Christodoulides D.N. Observation of PT-Symmetry Breaking in Complex Optical Potentials // Phys. Rev. Lett. 2009. V. 103. P. 093902.
  34. Yang Y., Jia H., Bi Y., Zhao H., Yang J. Experimental Demonstration of an Acoustic Asymmetric Diffraction Grating Based on Passive Parity-Time-Symmetric Medium // Phys. Rev. Applied. 2019. V. 12. P. 034040.
  35. Vilkov E.A., Byshevski-Konopko O.A., Temnaya O.S., Kalyabin D.V., Nikitov S.A. Electroacoustic waves in a PT-symmetric piezoelectric structure near the exceptional point // Technical Physics Letters. 2022. V. 48. № 12. P. 74–77.
  36. Vilkov E.A., Byshevski-Konopko O.A., Kalyabin D.V., Nikitov S.A. Gap electroacoustic waves in PT-symmetric piezoelectric heterostructure near the exceptional point // J. Phys. Condens. Matter. 2023. V. 35. № 43. P. 435001.
  37. Wiersig J. Review of exceptional point-based sensors // Photonics research. 2020. V. 8. № 9. P. 1457–1467.

Supplementary files

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2. Fig. 1. Schematic of the problem. Letters A, S denote antisymmetric and symmetric modes

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3. Fig. 2. Spectrum of slit electroacoustic wave modes for two identical 4mm class piezocrystals in the absence of attenuation and amplification

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4. Fig. 3. Spectra of electroacoustic wave modes for two identical 4mm class piezocrystals separated by a gap (h = 10-5 cm): (a) - BaTiO3, (b) - Ba2Si2TiO8. The figures indicate the spectra of ‘symmetric’ (thickened curve) and ‘antisymmetric’ modes (thin curve) for different attenuation and amplification levels: 1 - , 2 - , 3 -

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5. Fig. 4. Dependence of electric potential amplitude difference Φ0 in the gap at y = ±h on the value

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6. Fig. 5. Full potential modulus profile for the two modes when . The calculated parameters correspond to Fig. 3б. (a) - k = 24500 cm-1, (b) - k = 38761 cm-1, (c) - k = 49200 cm-1

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7. Fig. 6. Dependences of electric potential amplitudes of ‘symmetric’ (thickened curve) and ‘antisymmetric’ (thin curve) modes at y = 0 on frequency for: (a) - , (b) - , (c) -

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