Multicomponent one-dimensional photonic band-gap structures: dispersion relations and extended phase-matching abilities

A. N. Naumov; Joseph W. Haus; Mario Bertolotti; Concita Sibilia; Alexei M. Zheltikov

doi:10.1117/12.468971

29 May 2002 Multicomponent one-dimensional photonic band-gap structures: dispersion relations and extended phase-matching abilities

A. N. Naumov, Joseph W. Haus, Mario Bertolotti, Concita Sibilia, Alexei M. Zheltikov

Author Affiliations +

Proceedings Volume 4748, ICONO 2001: Fundamental Aspects of Laser-Matter Interaction and Physics of Nanostructures; (2002) https://doi.org/10.1117/12.468971
Event: XVII International Conference on Coherent and Nonlinear Optics (ICONO 2001), 2001, Minsk, Belarus

Abstract

The capabilities of one-dimensional photonic band-gap (PBG) structures to simultaneously phase-match several optical fields with different frequencies propagating in a dispersive medium are examined. A dispersion relation for an infinite one-dimensional PBG structure whose unit cell consists of three different materials is derived. Analysis of this dispersion relation shows that structures of this type provide additional degrees of freedom in dispersion control relative to conventional, binary one-dimensional PBG structures. In particular, the increase in the number of layers with different refractive indices in a unit cell of a PBG structure allows a larger number of optical fields with different frequencies to be simultaneously phase-matched. The possibilities of using this property of ternary PBG structures for synthesizing trains of subfemtosecond pulses are discussed.

Citation Download Citation

A. N. Naumov, Joseph W. Haus, Mario Bertolotti, Concita Sibilia, and Alexei M. Zheltikov "Multicomponent one-dimensional photonic band-gap structures: dispersion relations and extended phase-matching abilities", Proc. SPIE 4748, ICONO 2001: Fundamental Aspects of Laser-Matter Interaction and Physics of Nanostructures, (29 May 2002); https://doi.org/10.1117/12.468971

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