Consider second-harmonic generation of Nd:YAG laser pulses. A laser with Gaussian transverse profile operates at the...

 

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Consider second-harmonic generation of Nd:YAG laser pulses. A laser with Gaussian transverse profile operates at the wavelength of 1064 nm, the duration of the laser pulses is 10 ns (flat-top), the pulses energy is 10 mJ with 1 KHz repetition rate, and the beam diameter 4 mm. The second-order nonlinear susceptibility of the frequency-doubling crystal, its index of refraction, and thickness are x(²) 4 pm/V, n=1.5, and L=1 mm, respectively. Assume that the interaction is perfectly phase-matched (AK=0), = [10] a) Calculate the wavelength of the second-harmonic generation (SHG) signal b) Calculate the conversion efficiency of SHG and the energy of the frequency-doubled pulses. c) Calculate the conversion efficiency of SHG if the pump laser is a continuous laser and has the same average power (instead of pulse). d) How thick could the crystal approximately be before depletion of the 1064 nm beam becomes important? Consider second-harmonic generation of Nd:YAG laser pulses. A laser with Gaussian transverse profile operates at the wavelength of 1064 nm, the duration of the laser pulses is 10 ns (flat-top), the pulses energy is 10 mJ with 1 KHz repetition rate, and the beam diameter 4 mm. The second-order nonlinear susceptibility of the frequency-doubling crystal, its index of refraction, and thickness are x(²) 4 pm/V, n=1.5, and L=1 mm, respectively. Assume that the interaction is perfectly phase-matched (AK=0), = [10] a) Calculate the wavelength of the second-harmonic generation (SHG) signal b) Calculate the conversion efficiency of SHG and the energy of the frequency-doubled pulses. c) Calculate the conversion efficiency of SHG if the pump laser is a continuous laser and has the same average power (instead of pulse). d) How thick could the crystal approximately be before depletion of the 1064 nm beam becomes important?

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a The wavelength of the secondharmonic generation signal is given by SHG Fundamental2 where Fundamental is the wavelength of the fundamental laser Therefore SHG 532 nm b The conversion efficiency of SHG is given by SHG PSHGPFundamental where PSHG is the power of the secondharmonic generation signal and PFundamental is the power of the fundamental laser The ... View the full answer