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Optical Engineering

Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response
Author(s): Vyacheslav A. Trofimov; Tatiana M. Lysak; Sheng Lan
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Paper 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.

Paper Details

Date Published: 1 August 2011
PDF: 19 pages
Opt. Eng. 50(8) 084201 doi: 10.1117/1.3609798
Published in: Optical Engineering Volume 50, Issue 8
Show Author Affiliations
Vyacheslav A. Trofimov, Lomonosov Moscow State Univ. (Russian Federation)
Tatiana M. Lysak, Lomonosov Moscow State Univ. (Russian Federation)
Sheng Lan, South China Normal Univ. (China)


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