Three-Wave Processes in the Small-Signal Regime
4.1Introduction to the Wave Equation for Three Fields
In Chapter 3, we discussed the classical origins and means of determining the nonlinear polarization for various χ(2) processes. A more complete description of nonlinear interactions includes the transformation of fields in the nonlinear medium. Maxwell’s equations, including the nonlinear material response, provide such a description. The solution to the wave equation that follows from Maxwell’s equations depends on the details of the specific system, and the possible number of scenarios is quite large. In this chapter, we consider simplified systems that shed light on some general trends in nonlinear optics. We first derive a wave equation ...
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