Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction

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Abstract
The authors describe an analytical approach to nonlinear-optics calculations which is well adapted to obtaining accurate and efficient numerical results for steady-state nonlinear interactions including finite transverse beam profiles, beam-diffraction effects, and power-depletion effects. This general approach is applied to obtain new results for optical second-harmonic generation with both Gaussian and unstable-resonator transverse beam profiles, under large-signal conditions where pump depletion as well as diffraction effects are important.