Illumination-dependent densities of modes in nonlinear photonic crystals

Virginie Lousse; Jean-Pol Vigneron

doi:10.1117/12.463882

25 April 2002 Illumination-dependent densities of modes in nonlinear photonic crystals

Virginie Lousse, Jean-Pol Vigneron

Proceedings Volume 4655, Photonic Bandgap Materials and Devices; (2002) https://doi.org/10.1117/12.463882
Event: Symposium on Integrated Optoelectronic Devices, 2002, San Jose, California, United States

Abstract

When the unit cell of the photonic crystal contains material which undergoes an optical Kerr effect, internal illumination will change the refractive index distribution without modifying the crystal periodicity and induce significant modifications of the dispersion relations. We describe these modifications by a self-consistent computation of the band structure where the occupation of a photon mode with specific frequency, Brillouin-zone vector and polarization is kept fixed. This requires to solve a sequence of ordinary, linear, photonic band structure problems. The resulting non-linear photonic band structure explicitly depends on the mode occupation, itself determined by the level of illumination. We carry out specific non-linear band structure calculations for the woodpile structure where rods are considered experiencing refractive index changes according to various types of illumination. It is shown that, for positive Kerr coefficient, a strong illumination moves the photonic band gap to lower frequency while slightly modifying its width. The use of different illumination polarizations and frequencies results in modifications of the band structure and the spectral location of the Van Hove singularities in the density of states.

Citation Download Citation

Virginie Lousse and Jean-Pol Vigneron "Illumination-dependent densities of modes in nonlinear photonic crystals", Proc. SPIE 4655, Photonic Bandgap Materials and Devices, (25 April 2002); https://doi.org/10.1117/12.463882

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