Approximately analytical optimization of Cherenkov cascading second order nonlinear effects in a dissipative waveguide

• Published in: Optics communications 2002-01, Vol.201 (1-3), p.179-190
• Main Authors: Zhong, K.Sh, Hu, H.Z, Zhang, H.B, Liang, M.L
• Format: Article
• Language: English
• Subjects: All-optical devices; Cherenkov; Dissipative waveguides; Exact sciences and technology; Frequency conversion; harmonic generation, including high-order harmonic generation; Fundamental areas of phenomenology (including applications); Harmonic generation, frequency conversion; Nonlinear effects; Nonlinear optics; Optics; Physics
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/S0030-4018(01)01603-0

The coupled-mode equation in dissipative waveguides in Cherenkov configuration has been detailedly discussed for the first time, to our knowledge. Based on this equation, Cherenkov second harmonic generation (SHG) and Cherenkov nonlinear phase shift (NPS) caused by Cherenkov cascading second order nonlinear (CSON) effects have been analyzed and optimized comprehensively and systematically by an analytical method, taking into account both the conversion depletion and the waveguide loss, and the analytical expressions for Cherenkov SHG and NPS has been presented. The dependence of the NPS and the conversion efficiency on varied parameters, such as the waveguide thickness, the fundamental wavelength, the input fundamental power and the temperature, has been discussed completely. The results show that a large enough NPS (>10π) can be attained for nondissipative waveguides with a very small depletion of the fundamental power, at the same time, this Cherenkov CSON configuration has some advantages over the quasi-phase matching CSON configuration, e.g., the much looser tolerances of the waveguide parameters and the noncollinear feature of the fundamental wave and the second harmonic wave, these characteristics make the Cherenkov CSON configuration a promising direction to realize all-optical devices.