Parametric Instability Boundaries for Spatial Subharmonics in Photorefractive Moving Gratings: Theory and Experiments

  • Kwak, Chong-Hoon (Optical Society of America, Optical Society of Korea, Physical Society of Korea and Korean Institute of Telematics and Electronics) ;
  • Lee, El-Hang (Research Department at ETRI)
  • Published : 1995.01.31

Abstract

We have derived a nonlinear spatiotemporal differential equation for space-charge fields from Kukhtarev’s material equations in a moving coordinate system and obtained the spatial subharmonic instability boundaries by using linear stability analysis. It is also found that there is an analogy between the temporal subharmonic and the spatial subharmonc instabilities in the sense that the governing differential equations describing the instability boundaries are formally identical. The experiments for generating spatial subharmonic waves are performed in a photorefractive $Bi_{12}SiO_{20}$ crystal by using conventional moving grating technique. The threshold detunings are experimentally determined and the results are compared with the theory.

Keywords

References

  1. Photorefractive materials and their applications, vol. I Gunter, P.;Huignard, J.P.(eds)
  2. Ferroelectrics v.22 Holographic storage in electro-optic crystals.1. Steady state Kukhtarev, N.V.;Markov, V.B.;Odulov, S.G.;Soskin, M.S.;Vinetskii, V.L.
  3. J. Appl. Phys. v.58 Two beam coupling in photorefractive $Bi_{12} SiO_{20}$ crystals with moving grating: Theory and experiments Refregier, Ph.;Solymar, L.;Rajbenbach, H.;Huignard, J.P.
  4. Photorefractive crystals in coherent optical systems Petrov, M.P.;Stepanov, S.I.;Khomenko, A.V.
  5. J. Appl. Phys. v.63 no.12 Generation of spatial subharmonics by two-wave mixing in a nonlinear photorefractive medium Mallick, S.;Imbert, B.;Ducollet, H.;Herriau, J.P.;Huignard, J.P.
  6. Opt. Commun. v.74 no.6 Observations of spatial subharmonics arising during two-wave mixing in BSO Webb, D.J.;Solymar, L.
  7. Appl. Phys. Lett. v.53 no.12 New gain mechanism for wave amplification in photorefractive materials Ringhofer, K.H.;Solymar, L.
  8. Appl. Phys. Lett. v.57 Onset of subharmonics by forward wave interactions in BSO Webb, D.J.;Au, L.B.;Jones, D.C.;Solymar, L.
  9. Electron. Lett. v.28 no.6 Spatial subharmonic instability in photorefractive $Bi_{12}SiO_{20}$ crystal Kwak, C.H.;Takacs, J.;Solymar, L.
  10. Optics Lett. v.17 no.4 Subharmonics in $Bi_{12}TiO_{20}$ crystal with an applied ac electric field Takacs, J.;Solymar, L.
  11. Optics Commun. v.91 Subharmonics in photorefractive $Bi_{12}TiO_{20}$ crystal Takacs, J.;Schaub, M.;Solymar, L.
  12. Optics Commun. v.96 no.4 Spatial subharmonic instabilities Kwak, C.H.;Takacs, J.;Solymar, L.
  13. Appl. Phys. Lett. v.62 no.4 Spatial subharmonics in photorefractive $Bi_{12}SiO_{20}$ crystal with a square wave applied field Kwak, C.H.;Shamonin, M.;Takacs, J.;Solymar, L.
  14. IEEE J. Quantum Electron. v.30 no.7 An experimental and theoretical study of spatial subharmonics in a photorefractive $Bi_{12}GeO_{20}$ crystal induced by dc field and moving grating technique Richter, I.;Grunnet-Jepsen, A.;Takacs, J.;Solymar, L.
  15. Optics Lett. v.19 no.18 Observation of angularly tilted subharmonic gratings in photorefractive bismuth silicon oxide Pedersen, H.C.;Johansen, P.M.
  16. Optics Lett. v.19 no.17 Effects of subharmonics on two-wave gain in $Bi_{12}SiO_{20}$ under alternating electric fields Grunnet-Jepsen, A.;Solymar, L.;Kwak, C.H.
  17. Optics Commun. v.81 Instability of spatial subharmonics under hologram recording in a photorefractive crystal Nestiorkin, O.P.
  18. J. Opt. Soc. Am. v.B9 no.5 Spatial subharmonics in photorefractive crystal Sturman, B.I.;Bledowski, A.;Otten, J.;Ringhofer, K.H.
  19. J. Opt. Soc. Am. v.B11 no.1 Subharmonic instabilities on photorefractive crystals for an applied alternating electric field: Theoretical analysis Grunnet-Jepsen, A.;Richter, I.;Shamonin, M.;Solymar, L.
  20. Appl. Phys. Lett. v.64 no.5 Subharmonic instability taking into accout higher harmonics Serrano, E.;Carrascosa, M.;Agullo-Lopez, F.;Solymar, L.
  21. Electron. Lett. v.30 no.24 Coupled wave analysis of spatial subharmonics in photorefractive BSO crystal Kwak, C.H.;Shim, S.;Lee, E.H.
  22. Appl. Phys. Lett. Spatial subharmonics in photorefractive moving grating Shim, S.;Kwak, C.H.;Lee, E.H.
  23. Nonlinear Oscillations Hagedorn, P.