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Optics Letters

Optics Letters


  • Vol. 24, Iss. 22 — Nov. 15, 1999
  • pp: 1593–1595

Nonlinear frequency response of a moving grating with an applied field in bismuth silicon oxide

Tony Gatlin and Nagendra Singh  »View Author Affiliations

Optics Letters, Vol. 24, Issue 22, pp. 1593-1595 (1999)

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A fully nonlinear frequency response of a moving grating in bismuth silicon oxide, including the effects of an applied electric field, is modeled by solution of the time-dependent Kukhtarev equations for photorefractive materials. The numerical results are used to define fully the nonlinear response function F(m)=a-1[1-exp(-am)], where m is the modulation index in the intensity pattern, to yield the unknown quantity a over a broad range of detuning frequencies f . For low f, the response is superlinear with a<0, and for relatively large f it is sublinear with a>0 . In the midrange we predict, for the first time to our knowledge, a characteristic frequency fl at which a=0 and the response is linear, that is, F(m)≈m, despite the presence of nonlinearly generated higher harmonics of the fundamental grating wave number. In view of this linear behavior, writing a hologram at the linear-response frequency fl might permit a more faithful reproduction of an object than that which is possible by writing at the frequency of maximum response at the resonance.

© 1999 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(160.5320) Materials : Photorefractive materials
(190.0190) Nonlinear optics : Nonlinear optics

Tony Gatlin and Nagendra Singh, "Nonlinear frequency response of a moving grating with an applied field in bismuth silicon oxide," Opt. Lett. 24, 1593-1595 (1999)

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