Submit Article

Asian Journal of Physics Vol. 33, Nos 3 & 4 (2024) 253-268

Cavity opto-mechanics in whispering gallery mode resonators: Route to chaos

Gabriele Frigenti, Daniele Farnesi, Stefano Pelli, Gualtiero Nunzi Conti, and Silvia Soria
CNR-IFAC Institute of Applied Physics “N.Carrara”, 50019 Sesto Fiorentino, Italy

Dedicated to Professor Anna Consortini for her significant contributions and pioneering works in the field of atmospheric turbulence and her continuous commitment to promote optics at global level 

This paper reviews the different mechanical dynamics in whispering gallery mode resonators (toroids, microspheres and microbubbles) generated by radiation pressure. The emergence of chaotic motion is shown in different geometries as it is an intrinsic property of the optical microcavities. The different routes to chaos are described and they include period doubling, aperiodic motion and complex trajectories. © Anita Publications. All rights reserved.
Doi: 10.54955/AJP.33.3-4.2024.253-268
Keywords: Whispering gallery mode, Chaotic motion, Optical microcavities.

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
Buy this Article in Print © Anita Publications. All rights reserve

References

  1. Maiman T, Stimulated optical radiation in ruby, Nature, 187(1960)493–494.
  2. Franken P A, Hill A E, Peters C W, Weinreich G, Generation of optical harmonics, Phys Rev Lett, 7(1961)8; doi.org/10.1103/PhysRevLett.7.118.
  3. Giordmaine J A, Miller R C, Tunable coherent parametric oscillation in linbo3 at optical frequencies, Phys Rev Lett, 14(1965)973; doi.org/10.1103/PhysRevLett.14.973.
  4. Harris S E, Oshman M K, Byer R L, Observation of tunable optical parametric fluorescence, Phys Rev Lett, 18(1967)732; doi.org/10.1103/PhysRevLett.18.732.
  5. Stolen R H, Ippen E P, Raman gain in glass optical waveguide, Appl Phys Lett, 22(1973)276–278.
  6. Stolen R, Ashkin A, Optical kerr effect in glass waveguide, Appl Phys Lett, 22(1973)294–296.
  7. Stolen R H, The early years of fiber nonlinear optics, J Lightwave Tech, 26(2008)1021–1031.
  8. Frigenti G, Farnesi D, Conti G N, Soria S, Nonlinear Optics in Microspherical Resonators, Micromachines, 11(2020)303; doi.org/10.3390/mi11030303.
  9. Lin G, Coillet A, Chembo Y K, Nonlinear photonics with high-Q whispering-gallery-mode esonators, Adv Opt Photonics, 9(2017)828–890.
  10. Rayleigh L, The problem of the whispering gallery, Phil Mag, 20(1910)120; doi.org/ 10.1080 /147864 41008636993.
  11. Suzuki R, Kato T, Kobatake T, Tanabe T, Suppression of optomechanical parametric oscillation in a toroid microcavity assisted by a kerr comb, Opt Express, 25(2017)28806–28816.
  12. Rosello-Mecho X, Farnesi D, Frigenti G, Barucci A, Ratto F, Fernandez-Bienes A, Garcia-Fernandez T, Delgado-Pinar M, Andrés M, Conti G N, Soria S, Parametrical optomechanical oscillations in phoxonic whispering gallery mode resonators, Sci Rep, 9(2019)7163; doi.org/10.1038/s41598-019-43271-x.
  13. Campillo A, Eversole J, Lin H, Cavity quantum electrodynamics enhancement of stimulated emission in microdroplets, Phys Rev Lett, 67(1991)437; doi.org/10.1103/PhysRevLett.67.437.
  14. Chang R K, Campillo A J, (eds), Optical Processes in Microcavities, (World Scientific, Singapore), 1996.
  15. Chiasera A, Dumeige Y, Feron P, Ferrari M, Jestin Y, Conti G N, Pelli S, Soria S, Righini, G, Spherical whispering-gallery-mode microresonators, Laser & Photonics Reviews, 4(2010)457–482.
  16. Righini G, Dumeige Y, Feron P, Ferrari M, Conti N G, Soria S, Ristii ́C D, Whispering gallery mode microresonators: Fundamentals and applications, Rivista del Nuovo Cimento, 34(2011)435; doi.10. 1393/ncr/i2011-10067-2.
  17. Righini G, Soria S, Biosensing by W G M microspherical resonators, Sensors, 16(2016)905; doi.org/10.3390/s16060905.
  18. Sandoghdar V, Treussart F, Hare J, Lefevre-Seguin V, Raimond J M, Haroche S, Very low threshold Whispering-Gallery-Mode microsphere laser, Phys Rev A, 54(1996)1777; doi.org/10.1103/PhysRevA.54.R1777.
  19. Kippenberg T J, Vahala K J, Cavity optomechanics, Opt Express, 15(2007)17172–17205.
  20. Sumetsky M, Whispering gallery bottle microcavities: the three dimensional etalon, Opt Lett, 29(2004)8–10.
  21. Berneschi S, Farnesi D, Cosi F, Conti G N, Pelli S, Righini G C, Soria S, High Q silica microbubble resonators fabricated by arc discharge, Opt Lett, 36(2011)3521–3523.
  22. Ward J M, Yang Y, Chormaic S N, Highly sensitive temperature measurements with liquid-core microbubble resonators, IEEE Phot Techn Lett, 25(2013)23 2350–2353.
  23. Ward J, Dhasmana N, Chormaic S N, Hollow core whispering gallery resonator sensors, Eur Phys J, Special Topics, 223(2014)1917–1935.
  24. Bahl G, Kim K, Lee W, Liu J, Fan X, Carmon T, Brillouin cavity optomechanics with microfluid devices, Nat Commun, 4(2013)1994; doi.org/10.1038/ncomms2994.
  25. Han K, Zhu K, Bahl G, Opto-mechano-fluidic viscometer, Appl Phys Lett, 105(2014)014103; doi.org/10.1063/1.4887369.
  26. Frigenti G, Cavigli L, Fernández-Bienes A, Ratto F, Centi S, García-Fernández T, Conti G N, Soria S, Resonant microbubble as a microfluidic stage for all-optical photoacoustic sensing, Phys Rev App, 12(2019)01406; doi. org/10.1103/PhysRevApplied.12.014062.
  27. Frigenti G, Cavigli L, Ratto F, Centi S, Murzina T V, Farnesi D, Pelli S, Soria S, Conti G N, Microbubble resonators for scattering-free absorption spectroscopy of nanoparticles, Opt Express, 29(2021)31130–31136.
  28. Frigenti G, Arjmand M, Barucci A, Baldini F, Berneschi S, Farnesi D, Gianfreda M, Pelli S, Soria S, Aray A, Dumeige Y, Féron P, Conti G N, Coupling analysis of high Q resonators in add-drop configuration through cavityringdown spectroscopy, J Opt, 20(2018)065706; doi. 10.1088/2040-8986/aac459.
  29. Vahala K J, Optical microcavities, Nature, 424(2003)839–846.
  30. Gorodetsky M, Ilchenko V, Thermal nonlinear effects in optical whispering-gallery microresonators, Laser Phys, 2(1992)1004–1009.
  31. Roselló Mechó X, Whispering Gallery Modes: Advanced Photonic Applications, Ph D Thesis, (2019), University of Valencia, URL https://www.educacion.gob.es/teseo/imprimirFicheroTesis.do?idFichero=Wge8ZCJAqfE\%3D.
  32. Carmon T, Yang L, Vahala K, Dynamical thermal behavior and thermal self-stability of microcavities, Opt Express, 12(2004)4742–4750.
  33. Vanier F, Rochette M, Godbout N, Peter Y.-A, Raman lasing in As2S3 high-Q whispering gallery mode resonators, Opt Lett, 38(2013)4966–4969.
  34. Farnesi D, Righini G, Conti G N, Soria S, Efficient frequency generation in phoxonic cavities based on hollow whispering gallery mode resonators, Sci Rep, 7(2017)44198; doi.org/10.1038/srep44198.
  35. Rosello-Mecho X, Frigenti G, Farnesi D, Delgado-Pina M, Andrés M V, Ratto F, Conti G N, Soria S, . Microbubble PhoXonic resonators: Chaos transition and transfer, Chaos, Solitons & Fractals, 154(2022) 111614; doi.org/10.1016/j.chaos.2021.111614.
  36. Carmon T, Rokhsari H, Yang L, Kippenberg T J, Vahala K J, Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode, Phys Rev Lett, 94(2005)223902; doi.org/10.1103/PhysRevLett.94.223902.
  37. Rokhsari H, Kippenberg T J, Carmon T, Vahala K J, Radiation-pressure-driven micro-mechanical oscillator, Opt Express, 13(2005)5293–5301.
  38. Kippenberg T J, Rokhsari H, Carmon T, Scherer A, Vahala K J, Analysis of Radiation Pressure Induced Mechanical Oscillation of an Optical Microcavity, Phys Rev Lett, 95(2005)033901; doi.org/10.1103/PhysRevLett.95.033901.
  39. Carmon T, Cross M C, Vahala K J, Chaotic Quivering of Micron-Scaled On-Chip Resonators Excited by Centrifugal Optical Pressure, Phys Rev Lett, 98(2007)167203; doi.org/10.1103/PhysRevLett.98.167203.
  40. Carmon T, Vahala K J, Opto-Mechanical Modal Spectroscopy: Opto-Excited Vibrations of a Micron-Scale On-Chip Resonator, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest (CD) (Optica Publishing Group, 2007), paper JMB2.
  41. Asano M, Takeuchi Y, Chen W, Ozdemir S K, Ikuta R, Imoto N, Yang L, Yamamoto T, Observation of optomechanical coupling in a microbottle resonator, Laser Photonics Rev, 10(2016)603–6011.
  42. Monifi F, Zhang J, Özdemir Ş, Peng B, Liu Y, Bo F, F Nori F, Yang L, Optomechanically induced stochastic resonance and chaos transfer between optical fields, Nat Photon, 10(2016)399–405.
  43. Armani D K, Kippenberg T J, Spillane S M, Vahala K J, Ultra-high-q toroid microcavityon a chip, Nature, 421(2003)925–928.
  44. Kippenberg T J, Spillane S M, Vahala K J, Demonstration of ultra-high-q small mode volume toroid micro-cavities on a chip, Appl Phys Lett, 85(2004)6113–6115.
  45. Bakemeier L, Alvermann A, Fehske H, Route to chaos in optomechanics, Phys Rev Lett, 114(2015) 013601; doi.org/10.1103/PhysRevLett.114.013601.
Cavity opto-mechanics in whispering gallery mode resonators Route to chaosDownload

Related Posts