By George I. Stegeman (auth.), F. Kajzar, R. Reinisch (eds.)
The box of nonlinear optics, which has passed through a really swift improvement because the discovery of lasers within the early sixties, is still an energetic and swiftly constructing - seek zone. The curiosity is especially because of the capability functions of nonlinear optics: - rectly in telecommunications for top price info transmission, snapshot processing and popularity or not directly from the opportunity of acquiring huge wavelength diversity tuneable lasers for purposes in undefined, drugs, biology, facts garage and retrieval, and so forth. New phenomena and fabrics proceed to seem on a regular basis, renewing the sector. This has confirmed to be very true during the last 5 years. New fabrics comparable to organics were built with very huge moment- and third-order nonlinear optical responses. Imp- tant advancements within the parts of photorefractivity, all optical phenomena, frequency conv- sion and electro-optics were saw. In parallel, a couple of new phenomena were mentioned, a few of them difficult the formerly held thoughts. for instance, solitons in keeping with second-order nonlinearities were saw in photorefractive fabrics and frequency doubling crystals, destroying the notion that 3rd order nonlinearities are - quired for his or her iteration and propagation. New methods of constructing and manipulating nonl- ear optical fabrics were built. An instance is the construction of hugely nonlinear (second-order lively) polymers via static electrical box, photo-assisted or all-optical poling. Nonlinear optics includes, via definition, the fabricated from electromagnetic fields. As a con- quence, it results in the beam control.
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Extra info for Beam Shaping and Control with Nonlinear Optics
35, we can perform the Kramers-Kronig integral and obtain the dispersion of the nondegenerate NLR. This calculation, in agreement with the scaling relation of Eq. 32 yields for n 2 8 Figure 4. Scaled values of β (according to Eq. 33) as a function of ω /Eg along with the theoretical plot of the function F (see Eq. 35 with x1 =x2 ). Data from Ref. 18. 49 (36) while the nondegenerate dispersion function G is given by (37) Scaling the data as in Eq. 34 (ω 1 = ω 2) gives the plot of Fig. 6 showing a small, much less than E g , reaching a peak near Eg /2 positive, nearly dispersionless n2 for (where 2PA turns on) and then decreasing, reaching negative values as ω approaches the band edge.
The above concept is illustrated in Fig. 2. Thus, using this relation requires a knowledge of the spectrum of the nondegenerate nonlinear absorption as obtained, for example, from pump-probe spectra. T h e r e f o r e , ∆ n(ω;ωe ) or n2 (ω;ωe ) and ∆α (ω;ωe ) or β (ω;ωe ) describe the change in refractive index and absorption coefficient, respectively, for a weak optical probe of frequency ω when a strong pump of fixed frequency ωe is applied as illustrated in Fig. 2. The following shows how to mathematically cancel this precursor field in both linear and nonlinear interactions.
L. R. J. C. J. Williams, 20. “Efficient phase-matched second-harmonic generation of blue light in an organic waveguide”, Nature 367:49-51 (1994). G. A. Norwood, D. Haas, B. Feuer, and D. Karim, " Phase-matched 21. second-harmonic generation in a polymer waveguide. Applied Physics Letters, 57: 977-979, (1990) D. R. Fetterman, A. H. R. Dalton, W. Wang and Y. Shi, 22. “Demonstration of 110 Ghz electro-optic polymer modulators”, 70,3335-7 (1997) 23. extensive material listing by S. J. Webber editor (CRC Press, Ann Arbor, 1995) pp147-266 2 4 .
Beam Shaping and Control with Nonlinear Optics by George I. Stegeman (auth.), F. Kajzar, R. Reinisch (eds.)