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Article Abstract
In this work, a three-dimensional and time-dependent nonlinear wave model to describe the generation of pulsed Bessel-Gauss second-harmonic waves (SHWs) is presented. Three coupled equations, two for ordinary and extraordinary fundamental waves and one for extraordinary SHWs, describing type II second-harmonic generation (SHG) in a KTiOPO (KTP) crystal were solved by considering the depletion of fundamental waves (FWs). The results examined the validity of nondepleted wave approximation against the energy of pulses, beam spot size, and interaction length. It was shown that for pulses with spot sizes of ω=80 μm and energy of 0.8j, the nonlinear interaction was accomplished over a distance of ∼5 mm. Therefore, for KTP crystals with lengths longer than 5 mm, the nondepleted wave approximation can no longer be valid. To be valid, the crystal must be shorter than the interaction length, i.e., 5 mm.
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Article Synopsis
- Studied how to create passive Bessel-Gauss beams using an axicon with a specially designed Gaussian resonator and measured the output from a Nd:YAG laser.
- Measured key properties of the beams such as output energy (58 mJ) and Rayleigh range (229.3 mm) for a 1° axicon, comparing them to the Gaussian mode results.
- Explored the effects of changing axicon apex angles and beam spot sizes on the properties of the generated Bessel-Gauss beams through both theoretical analysis and experiments.