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Chapter I Brief Introduction...<br />

several methods for obtaining SHG are shown schematically. The simplest<br />

scheme for frequency doubling is extra cavity doubling, where the laser beam<br />

passes through the nonlinear crystal only once. However, if the power density<br />

of laser is low, focused beam, intra-cavity doubling and external resonant<br />

cavity are normally used to increase the power density on the crystals.<br />

Figure: 1.2 Extra cavity SHG. Figure: 1.3 SHG with focused beam.<br />

Figure: 1.4 Intra-cavity SHG. Figure: 1.5 External resonant cavity SHG.<br />

Sum and Difference Frequency Generation or Parametric Generation<br />

The essential goal of practical nonlinear optical frequency conversion is<br />

the efficient generation of radiation of sum, difference and second harmonic<br />

frequencies. If two monochromatic optical fields, with frequencies ω1 and ω2<br />

and amplitudes E1 and E2, respectively, are applied to a medium with non<br />

vanishing second-order susceptibility (2) , the induced dipole response will<br />

contain, in addition to the ordinary linear response terms at frequencies ω1<br />

8

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