Optical pulses in a non-Hermitian medium near a singularity

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Abstract

The spectral method was used to solve the problem of interaction of short optical pulses with RT-symmetric photonic crystals under conditions of frequency singularity. It is shown that with a small deviation from the exceptional point of spontaneous decay of PT-symmetric field modes, a frequency singularity of the transmission and reflection coefficients of the structure arises. This leads to a significant narrowing of the pulse spectra and an increase in their amplitude and duration with unidirectional Bragg reflection.

About the authors

V. A. Bushuev

Lomonosov Moscow State University

Moscow, Russia

B. I. Mantsyzov

Lomonosov Moscow State University

Email: bmantsyzov@gmail.com
Moscow, Russia

References

  1. Bender C.M., Boettcher S. // Phys. Rev. Lett. 1998. V. 80. No. 24. P. 5243.
  2. Bian Z., Xiao L., Wang K. et al. // Phys. Rev. Res. 2020. V. 2. No. 2. Art. No. 022039(R).
  3. Ruschhaupt A., Delgado F., Muga J.G. // J. Phys. A. 2005. V. 38. No. 9. P. L171.
  4. Miri M.-A., Alù A. // Science. 2019. V. 363. No. 6422. Art. No. eaar7709.
  5. Özdemir K., Rotter S., Nori F., Yang L. // Nature Mater. 2019. V. 18. No. 8. P. 783.
  6. Christodoulides D., Yang J. Parity-time symmetry and its applications. Springer Tracts in 4 Modern Physics. V. 280. Springer, 2018.
  7. Aurégan Y., Pagneux V. // Phys. Rev. Lett. 2017. V. 118. No. 17. Art. No. 174301.
  8. Bender C.M., Gianfreda M., Klevansky S.P. // Phys. Rev. A. 2014. V. 90. No. 2. Art. No. 022114.
  9. Sakhdari M., Hajizadegan M., Zhong Q. et al. // Phys. Rev. Lett. 2019. V. 123. No. 19. Art. No. 193901.
  10. Wong Z.J., Xu Y-L., Kim J. et al. // Nature Photon. 2016. V. 10. No. 12. P. 796.
  11. Roszeitis K., Sudzius M., Palatnik A. et al. // J. Eur. Opt. Soc.-Rapid Publ. 2022. V. 18. No. 1. P. 6.
  12. Brac de la Perrière V., Gaimard Q., Benisty H. et al. // Nanophotonics. 2021. V. 10. No. 4. P. 1309.
  13. Hao T., Berini P. // Opt. Express. 2022. V. 30. No. 4. P. 5167.
  14. Guo A., Salamo G.J., Duchesne D. et al. // Phys. Rev. Lett. 2009. V. 103. No. 9. Art. No. 093902.
  15. Kim K.H., Hwang M.S., Kim H.R. et al. // Nature Commun. 2016. V. 7. No. 1. P. 13893.
  16. Kulishov M., Laniel L.M., Bélanger N. et al. // Opt. Express. 2005. V. 13. No. 8. P. 3068.
  17. Bushuev V.A., Tsvetkov D.M., Konotop V.V., Mantsyzov B.I. // Opt. Lett. 2019. V. 44. No. 23. P. 5667.
  18. Feng L., Ayache M., Huang J. et al. // Science. 2011. V. 333. No. 6043. P. 729.
  19. Бушуев В.А., Манцызов Б.И. // ЖЭТФ. 2022. Т. 162. № 3(9). С. 322
  20. Bushuev V.A., Mantsyzov B.I. // JETP. 2022. V. 135. No. 3. P. 277.
  21. Tsvetkov D.M., Bushuev V.A., Mantsyzov B.I. // Phys. Rev. A. 2019. V. 99. No. 2. Art. No. 023846.
  22. Ржанов А.Г. // Изв. РАН. Сер. физ. 2024. Т. 88. № 1. С. 35
  23. Rzhanov A.G. // Bull. Russ. Acad. Sci. Phys. 2024. V. 88. № 1. P. 26.
  24. Mostafazadeh A. // Phys. Rev. Lett. 2009. V. 102. No. 22. Art. No. 220402.
  25. Chong Y.D., Ge L., Cao H., Stone A.D. // Phys. Rev. Lett. 2010. V. 105. No. 5. Art. No. 053901.
  26. Tsvetkov D.M., Bushuev V.A., Konotop V.V., Mantsyzov B.I. // Phys. Rev. A. 2018. V. 98. No. 5. Art. No. 053844.
  27. Zyablovsky A.A., Vinogradov A.P., Dorofeenko A.V. et al. // Phys. Rev. A. 2014. V. 89. No. 3. Art. No. 033808.
  28. Ландау Л.Д., Лившиц Е.М. Электродинамика сплошных сред. М.: Физматлит, 2005. 406 с.
  29. Вайнштейн Л.А. // УФН. 1976. Т. 118. № 2. С. 339
  30. Vainshtein L.A. // Sov. Phys. Usp. 1976. V. 19. No. 2. P. 189.
  31. Skaar J. // Phys. Rev. E. 2006. V. 73. No. 2. Art. No. 026605.
  32. Дорофеенко А.В., Зябловский А.A., Пухов А.А. и др. // УФН. 2012. Т. 182. № 11. С. 1157
  33. Dorofeenko A.V., Zyablovsky A.A., Pukhov A.A. et al. // Phys. Usp. 2012. V. 55. No. 11. P. 1080.
  34. Петров Е.В., Манцызов Б.И. // ЖЭТФ. 2005. Т. 128. № 3(9). С. 464
  35. Petrov E.V., Mantsyzov B.I. // JETP. 2005. V. 101. No. 3. P. 401.

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