Photonic band edge effects in finite structures and applications to χ⁽²⁾ interactions
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Author/Creator ORCID
Date
2001-06-25
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Citation of Original Publication
G. D’Aguanno et al., Photonic band edge effects in finite structures and applications to χ ⁽²⁾ interactions, Phys. Rev. E, Vol. 64, Iss. 1 (2001), https://doi-org/10.1103/PhysRevE.64.016609
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Public Domain Mark 1.0
This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
Public Domain Mark 1.0
This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
Subjects
Abstract
Using the concept of an effective medium, we derive coupled mode equations for nonlinear quadratic interactions in photonic band gap structures of finite length. The resulting equations reveal the essential roles played by the density of modes and effective phase matching conditions necessary for the strong enhancement of the nonlinear response. Our predictions find confirmation in an experimental demonstration of significant enhancement of second harmonic generation near the photonic band edge. The measured conversion efficiency is in good agreement with the conversion efficiency predicted by the effective-medium model.