title: Maximum-exponent scaling behavior of optical second-harmonic generation in finite multilayer photonic crystals.
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.
authors.affiliation: Dipartimento di Fisica A. Volta, Università degli Studi di Pavia, via Bassi 6, 27100 Pavia, Italy.
authors.forename: Marco
authors.initials: M
authors.lastname: Liscidini
authors.forename: Andrea
authors.initials: A
authors.lastname: Locatelli
authors.forename: Lucio Claudio
authors.initials: LC
authors.lastname: Andreani
authors.forename: Costantino
authors.initials: C
authors.lastname: De Angelis