Maximum-exponent scaling behavior of optical second-harmonic generation in finite multilayer photonic crystals

Year: 2007

Authors: Liscidini M., Locatelli A., Andreani L. C., De Angelis C.

Autors Affiliation: Dipartimento di Fisica ‘‘A. Volta’’, Universita` degli Studi di Pavia, via Bassi 6, 27100 Pavia, Italy; Dipartimento di Elettronica per l’Automazione, Universita` degli Studi di Brescia, via Branze 38, 25123 Brescia, Italy

Abstract: Scaling laws of second-harmonic generation (SHG) in nonlinear Bragg stacks (or finite one-dimensional photonic crystals) as a function of the number N of periods are explored. While it is known that SHG scales like the sixth power of N when phase matching is achieved, we find maximal scaling like the eighth power of N under appropriate non-phase-matching conditions with the pump and harmonic waves being resonant with band-edge states. In this framework we introduce the concept of self-adaptive coherence length that scales with the system length. An analytical treatment based on coupled-mode equations clarifies the conditions for obtaining different scaling laws as a function of filling factor in the photonic gap map.


Volume: 99 (5)      Pages from: 053907-1  to: 053907-4

KeyWords: Nonlinear Optics
DOI: 10.1103/PhysRevLett.99.053907

Citations: 15
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