By John F. Reintjes

In bankruptcy 1 a basic dialogue of nonlinear optical methods is given. In bankruptcy 2 a number of third-order frequency blending strategies are defined. In bankruptcy three the dialogue is prolonged to higher-order interactions. some of the competing approaches and the results which they could have at the frequency conversion interactions are mentioned in bankruptcy four. In bankruptcy five the category of nonlinear interactions that ensue on the similar frequency because the incident radiation is mentioned. In bankruptcy 6 functions of varied nonlinear optical interactions are handled.

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**Additional resources for Nonlinear Optical Parametric Processes in Liquid and Gases (Optics and Photonics Series)**

**Sample text**

There will also be nonlinear polarizations produced at the incident frequencies which represent the action of the generated fields back on the incident fields. F o r example, for the process ω 4 = ωγ + ω2 + ω 3 , the nonlinear polarization amplitudes at each of the incident frequencies are given by ^ Ν > ι ) = ! ζ ( 3 )( - ω 1 ? ω 4 , - ω 2 , - Ρ Ν ί ( ω 2 ) = | χ ( - ω 2 , ω 4 , - ωΐ9 P (œ3) NL ω3)ΑΑΑ*2Α*39 ω3)Α^Α\Α%9 = | χ ( - ω 3 , ω 4 , - ωΐ9 - ω2)Α4Α^Α^. In the quasistatic approximation the field amplitudes are given by Eqs.

Because the phase slippage is not uniform with distance from the waist, this compensation can only be done in an average sense, and the o p t i m u m value of bAk will depend on the extent of the nonlinear medium relative to the confocal parameter. Fischer and Wieczorek 9 have calculated the optim u m values of bAk for various harmonic processes for beams that are focused at the center of the nonlinear medium. Their results for thirdharmonic generation are shown in Fig. 7. 2c. Intermediate Focusing.

1, Parts A and B. Academic Press, N e w York, 1975. 7. D . C. Hanna, M. A. Yuratich, and D . " Springer-Verlag, Berlin and N e w York, 1979. 8. N . Bloembergen, "Nonlinear Optics," p. 5. Benjamin, N e w York, 1965. 9. S. A. Akhmanov, Nonlinear Spectrosc, Corso Soc. Ital. , 64th, Bologna pp. 239-254 (1977). 10. J. D . Jackson, "Classical Electrodynamics," p. 101. Wiley, N e w York, 1963. References 29 11. D. A. Kleinman, Phys. Rev. 126, 1977 (1962). 12. C. Flytzanis, in "Quantum Electronics" (H.