Question

I. (20 points) Derive the expression for the phase-matching angle of a parametric amplifier using KDP (KHPO4) in which two of the waves are extraordinary while the third is ordinary. Which of the three waves (that is, signal, idler, or pump) would you choose as ordinary? Can this type of phase matching be accomplished with W3 = 10,000 cm-1, W1 = W2 = 5000 cm-1? Table 8-2: Index of Refraction Dispersion Data of KH PO4. After Reference. I81. Index of Refraction (ordinary ray) Index of Refraction (extraordinary ray) Wavelength (cm) 1.563913 0.2000 1.622630 1.498153 0.3000 1.545570 1.524481 1.480244 0.4000 1.514928 1.472486 0.5000 1.509274 1.468267 0.6000 1.465601 1.505235 0.7000 1.501924 1.463708 0.8000 1.498930 1.462234 0.9000 1.496044 1.460993 1.0000 1.459884 1.493147 1.490169 1.000 1.2000 1.487064 1.457838 1.3000 1.4000 1.483803 1.480363 1.455829 1.5000 1.476729 1.454797 1.6000 1.453735 1.472890 1.468834 1.452636 1.8000 1.464555 1.451495 1.9000 1.464044 1.450308 2.0000

          I. (20 points) Derive the expression for the phase-matching angle of a parametric amplifier using KDP (KHPO4) in which two of the waves are extraordinary while the third is ordinary. Which of the three waves (that is, signal, idler, or pump) would you choose as ordinary? Can this type of phase matching be accomplished with W3 = 10,000 cm-1, W1 = W2 = 5000 cm-1?

Table 8-2: Index of Refraction Dispersion Data of KH PO4. After Reference. I81.
Index of Refraction (ordinary ray) Index of Refraction (extraordinary ray) Wavelength (cm)
1.563913 0.2000 1.622630
1.498153 0.3000 1.545570
1.524481 1.480244 0.4000 1.514928
1.472486 0.5000 1.509274
1.468267 0.6000 1.465601
1.505235 0.7000 1.501924
1.463708 0.8000 1.498930
1.462234 0.9000 1.496044
1.460993 1.0000 1.459884
1.493147 1.490169 1.000 1.2000 1.487064
1.457838 1.3000 1.4000 1.483803
1.480363 1.455829 1.5000 1.476729
1.454797 1.6000 1.453735
1.472890 1.468834 1.452636
1.8000 1.464555 1.451495
1.9000 1.464044 1.450308
2.0000

will upvote i 20 points derive the expression for the phase matching angle of parametric amplifier using kdp khpo4 in which two of the waves are extraordinary while the third is ordina which 76679

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