Abstract

We study the cascaded quadratic nonlinear interaction between a weak fundamental and an intense second-harmonic beam within a finite one-dimensional photonic crystal with a defect. We show that, in the neighborhood of the defect resonance, this quadratic interaction induces changes in the value of the effective index of refraction and in the effective group velocity of the fundamental wave as well. We show that the effective group velocity can actively be controlled by means of this cascaded interaction. In fact, the strongly reduced effective group velocity found at the resonance of the linear periodic structure is shown to be restored to a value close to its value in the homogeneous material. These effective group and phase velocity active changes were studied in two cascading cases. Both effects are present when the nonlinear interaction modifies the defect resonance.

© 2002 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Light generation at the anomalous dispersion high energy range of a nonlinear opal film

Muriel Botey, Marc Maymó, Alberto Molinos-Gómez, Luis Dorado, Ricardo A. Depine, Gabriel Lozano, Agustín Mihi, Hernán Míguez, and Jordi Martorell
Opt. Express 17(15) 12210-12216 (2009)

Second-harmonic emission in two-dimensional photonic crystals

Emmanuel Centeno and Didier Felbacq
J. Opt. Soc. Am. B 23(10) 2257-2264 (2006)

High-speed low-voltage electro-optic modulator with a polymer-infiltrated silicon photonic crystal waveguide

Jan-Michael Brosi, Christian Koos, Lucio Claudio Andreani, Michael Waldow, Juerg Leuthold, and Wolfgang Freude
Opt. Express 16(6) 4177-4191 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (4)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription