(49-1) 02 * << * >> * Russian * English * Content * All Issues
  
Six-wave radiation converter based on resonant nonlinearity in a parabolic waveguide
 V.V. Ivakhnik 1, D.R. Kapizov 1, V.I. Nikonov 1
 1 Samara National Research University,
  443086, Russia, Samara, Moskovskoe Shosse, 34
 PDF, 969 kB
  PDF, 969 kB
DOI: 10.18287/2412-6179-CO-1540
Pages: 13-20.
Full text of article: Russian language.
 
Abstract:
The quality of wavefront reversal during six-wave  mixing in a two-dimensional waveguide with resonant nonlinearity and the  refractive index varying by a parabolic law is analyzed using a point spread  function method. Assuming that one of the pump waves excites the zero mode of  the waveguide and the distribution of the amplitude of the other pump wave on  the edge of the waveguide changes by the Gaussian law, it is shown that at a  low intensity of the single-mode pump wave, reducing the width of the Gaussian  pump wave either leads to an improvement of or has little effect on the quality  of wavefront reversal. At a high intensity of the single-mode pump wave,  reducing the width of the Gaussian pump wave deteriorates the quality of  wavefront reversal. We determine the range of changes in the width of the  Gaussian pump wave in which the greatest change in the amplitude of the wave  with a reversed wavefront is observed. It is shown that there is a threshold  value for the width of the Gaussian pump wave at which a change in the  intensity of the single-mode pump wave does not affect the quality of wavefront  reversal.
Keywords:
six-wave radiation converter, wavefront reversal,  resonant nonlinearity.
Citation:
  Ivakhnik VV, Kapizov DR, Nikonov VI. Six-wave  radiation converter based on resonant nonlinearity in a parabolic waveguide.  Computer Optics 2025; 49(1): 13-20. DOI:  10.18287/2412-6179-CO-1540.
References:
  - Blouin A, Denariez-Roberge MM. Theory and  experiment of degenerate six-wave mixing in both isotropic and anisotropic  saturable absorbers. IEEE J Quantum Electron 1993; 29(1): 227-235. DOI:  10.1109/3.199263.
 
- Astinov  V, Kubarych KJ, Milne CJ, Miller RJD. Diffractive optics implementation of  six-wave mixing. Opt Lett 2000; 25(11): 853-855. DOI: 10.1364/OL.25.000853.
 
- Ormachea  O. Comparative analysis of multi-wave mixing and measurements of the  higher-order nonlinearities in resonant media. Opt Commun 2006; 268(2): 317-322.  DOI: 10.1016/j.optcom.2006.07.028.
 
- Saleh MA, Banerjee  PP, Carns  J, Cook  G, Evans  DR. Stimulated  photorefractive backscatter leading to six-wave mixing and phase conjugation in  iron-doped lithium niobate. Appl Opt 2007; 46(24): 6151-6160.  DOI: 10.1364/ao.46.006151.
 
- Turitsyn SK, Bednyakova AE, Fedoruk MP, Paperny SB, Clements  WRL. Inverse four-wave mixing and self-parametric amplification in optical  fibre. Nat Photonics 2015; 9(9): 608-614. DOI: 10.1038/nphoton.2015.150.
 
- Weng Y, He X, Wang J, Pan Z.  All-optical ultrafast wavelength and mode converter based on intermodal  four-wave mixing in few-mode fibers. Opt Commun 2015; 348: 7-12. DOI:  10.1016/j.optcom.2015.03.018.
 
- Nazemosadat  E, Pourbeyram H, Mafi A. Phase matching for spontaneous frequency conversion via  four-wave mixing in graded-index multimode optical fibers. J Opt Soc Am B 2016;  33(2): 144-150. DOI: 10. 1364/JOSAB.33.000144.
 
- Anjum  OF, Guasoni M, Horak P, Jung Y, Petropoulos P, Richardson DJ, Parmigiani F.  Polarization-insensitive four-wave-mixing-based wavelength conversion in  few-mode optical fibers. J Lightw Technol 2018; 36(17): 3678-3683. DOI:  10.1109/JLT.2018.2834148.
 
- Zhou H, Liao M, Huang S-W, Zhou L, Qiu K, Wong  CW. Six-wave mixing induced by free-carrier plasma in silicon nanowire  waveguides. Laser Photonics Rev 2016; 10(6): 1054-1061. DOI:  10.1002/lpor.201600124.
 
- Zeldovich  BIa, Pilipetskii NF, Shkunov VV. Wavefront  reversal [In Russian]. Moscow: "Nauka" Publisher; 1985. 
 
- Voronin  ES, Petnikova VM, Shuvalov VV. Use of degenerate parametric processes for  wavefront correction (review). Sov J Quantum Electron 1981; 11(5): 551-561.  DOI: 10.1070/QE1981v011n05ABEH006899.
 
- Yariv  A, AuYeung J, Fekete D, Pepper DM. Image phase compensation and real-time  holography by four-wave mixing in optical fibers. Appl Phys Lett 1978; 32(10):  635-637. DOI: 10.1063/1.89876.
 
- Ivahnik  VV, Nikonov VI, Harskaja TG. Four-wave conversion of radiation by thermal  nonlinearity in a fiber with a parabolic profile [In Russian]. Izvestija Vuzov.  Priborostroenie 2006; 49(8): 54-60.
 
- Ivahnik  VV, Kapizov DR, Nikonov VI. Four-wave interaction in a multimode waveguide with  Kerr nonlinearity in a scheme with concurrent pump waves [In Russian]. Physics  of Wave Processes and Radio Systems 2019; 22(2): 13-18. DOI:  10.18469/1810-3189.2019.22.2.13-18. 
 
- Ivakhnik  VV, Kapizov DR, Nikonov VI. Quality of wavefront reversal for four-wave  interaction in a multimode waveguide with thermal nonlinearity. Computer Optics  2022; 46(1): 48-55. DOI: 10.18287/2412-6179-CO-1011.
 
- Agishev IN, Tolstik AL. Highly effective six-wave  mixing in linearly absorbing organic liquids. Tech Phys Lett 2009; 35(4): 362-364. DOI: 10.1134/ S1063785009040221.
 
- Delone  NB, Krainov VP. Fundamentals  of nonlinear optics of atomic gases [In Russian]. Moscow:  "Fizmatlit" Publisher; 1986.
 
- Gorbach DV, Nazarov SA, Tolstik AL.  Degenerate polarization multiwave mixing between light beams in a solution of  rhodamine 6G dye. Bulletin of the  Russian Academy of Sciences. Physics 2013; 77(12): 1412-1415. DOI:  10.3103/S1062873813120046.
 
- Zhang  Z, Xue X, Li C, Cheng S, Han L, Chen H, Zheng H, Zhang Y. Coexisting four-wave  mixing and six-wave mixing in three-level atomic system. Opt Commun 2012;  285(17): 3627-2670. DOI: 10.1016/j.optcom.2012.04.025.
 
- Vinogradova  MB, Rudenko OV, Sukhorukov AP. Wave theory [In Russian]. Moscow:  "Fizmatlit" Publisher; 1979.
 
- Tikhonov  EA, Shpak MT. Nonlinear  optical phenomena in organic compounds [In Russian]. Kiev: "Naukova  Dumka" Publisher; 1979.
 
- Miyanaga S, Ohtateme H, Kawano K, Fujiwara H. Excited-state absorption and pump propagation  effects on optical phase conjugation in a saturable absorber. J Opt Soc  Am B 1993; 10(6): 1069-1076. DOI:  10.1364/JOSAB.10.001069.
 
- Ivakhnik  VV. Wavefront reversal at four-wave interactions [In Russian]. Samara: Samara  State University Publisher; 2010.
 
- Marcuse  D, ed. Integrated optics. New York: IEEE  Press; 1973. 
- Ivakhnik VV, Vorobeva EV, Kapizov DR. Characteristics of a four-wave  radiation converter in a multimode waveguide with resonant nonlinearity. 2023  IX Int Conf on Information Technology and Nanotechnology (ITNT). DOI:  10.1109/ITNT57377.2023.10139099.
  
  © 2009, IPSI RAS
  151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: journal@computeroptics.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20