10

Nonlinear Optics Including Diffraction and Dispersion

10.1Introduction

Previous chapters developed equations that assume monochromatic beams and largely ignore diffraction effects. Solutions to the wave equation in this simplified limit reveal the basic phenomena that occur in nonlinear media. For example, phase matching, exponential gain, back conversion, self-induced phase modulation processes, and so on are well described by the formalism introduced earlier in this book. However, to have a quantitative understanding of more complex systems needs a more general formalism that includes diffractive and temporal effects. Developing the formalism requires a more complete analysis of the wave equation. As in prior chapters, we introduce the ...

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