Nonlinear Optics of Bound Electrons in Solids
A simple, two parabolic band model is shown to give the correct bandgap scaling, dispersion, and magnitude of bound electronic optical nonlinearities in semiconductors and certain large gap dielectrics. Essential to this formalism is a generalized Kramers-Kronig transformation that unifies the optical Kerr effect (n 2) with third-order absorptive nonlinearities: two-photon absorption, Raman effect, and quadratic Stark effect. Experimental results obtained with semiconductors and dielectrics have energy band-gaps ranging from 0.7 to 11eV show remarkable agreement with this simple theory. Extensions of t his model successfully predict the nondegenerate optical Kerr effect and nonlinearities in active semiconductors.
KeywordsNonlinear Absorption Stark Effect Nonlinear Refractive Index Dispersion Function Nonlinear Refraction
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- M. Sheik-Bahae, D.J. Hagan, and E.W. Van Stryland, Dispersion and Band-gap Scaling of the Electronic Kerr Effect in Solids associated with Two-Photon Absorption, Phys. Rev. Lett.Google Scholar
- G.P. Agrawal, Nonlinear Fiber Optics, Academic Press, 1989Google Scholar
- D.E. Spence, P.N. Kean, and W. Sibbett, Opt. Lett. 19, 4 (1991).Google Scholar
- H.M. Gibbs, Optical Bistability: Controlling Light with Light, Academic Press, 1985.Google Scholar
- R.W. Hellwarth, Third-order optical susceptibilities of liquids and solids, in Progress in Quantum Electronics, Volume 5, Part 1, Pergamon Press 1977.Google Scholar
- B.S. Wherrett, A.C. Walker, and F.A.P. Tooley, Nonlinear refraction for cw optical bistability, in Optical Nonlinearities and Instabilities in Semiconductors, H. Haug, Eds., Academic Press., 1988.Google Scholar
- G.I. Stegeman, E.M. Wright, All-optical waveguide switching, Optical and Quantum Electronics, 22, 95–122 (1990).Google Scholar
- C.T. Haltgren, E.P. Ippen, Ultrafast refractive index dynamics in AlGaAs diode laser amplifiers, Appl. Phys. Lett. 59, 635–638 (1991). K. L. Hall, G. Lenz, E.P. Ippen, G. Raybon, Heterodyne pump-probe technique for time-domain studies of optical nonlinearities in waveguides, Opt. Lett. 17, 874-877 (1992).CrossRefGoogle Scholar
- C.T. Hultgren and E.P. Ippen, Femtosecond band-edge index nonlinearities in active AlGaAs waveguides, Technical Digest of IQEC-994, paper QThG3, Optical Society of America, Anaheim, CA, May 8-13, 1994.Google Scholar
- M. Sheik-Bahae and E.W. Van Stryland, Ultrafast nonlinear refraction in semiconductor laser amplifiers, Ultrafast Phenomena VIII, J.-L. Martin, A. Migus, G.A. Mourou, A.H. Zewail, Eds. Springer Verlag, Vol. 55, 426–4299 (1993).Google Scholar
- S.G. Lee, B.P. McGinnis, R. Jin, J. Yumoto, G. Khitrova, H. M. Gibbs, N. Peyghambarian, paper CTuC4, CLEO94 Technical Digest, pp. 55.Google Scholar