Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response

Vyacheslav A. Trofimov; Tatiana M. Lysak; Sheng Lan

doi:10.1117/1.3609798

1 August 2011 Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response

Vyacheslav A. Trofimov, Tatiana M. Lysak, Sheng Lan

Author Affiliations +

Optical Engineering, Vol. 50, Issue 8, 084201 (August 2011). https://doi.org/10.1117/1.3609798

Abstract

Second harmonic generation (SHG) of femtosecond pulses in layered photonic crystal with combined nonlinearity is analyzed. Within the approximation of plane wave, the problem under consideration is solved analytically. One shows the possibility of a multistable mode of frequency conversion that occurs due to self-action of laser pulses because of cubic susceptibility. Dependence of the number of solutions on parameters of the problem is discussed and demonstrated. On the basis of the obtained analytical solution, the possible modes of frequency conversion are found out. To verify and prove the realization of obtained analytical results, a computer simulation on the basis of Schrödinger equations is made. This comparison demonstrates good agreement between the analytical solution and computer simulation during a definite time interval, depending on thickness of layers of the photonic crystal and wavelength of laser radiation.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Vyacheslav A. Trofimov, Tatiana M. Lysak, and Sheng Lan "Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response," Optical Engineering 50(8), 084201 (1 August 2011). https://doi.org/10.1117/1.3609798

Published: 1 August 2011

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