Multiple-scale coupled-mode theory for second-harmonic generation in one-dimensional periodic structures

Year: 2003

Authors: De Angelis C., Nalesso G. F., Modotto D., Midrio M., Locatelli A., Aitchison J. S.

Autors Affiliation: Dipartimento di Elettronica per l’Automazione, Universita` di Brescia, via Branze 38, 25123 Brescia, Italy; Dipartimento di Ingegneria dell’Informazione, Universita` di Padova, via Gradenigo 6/b, 35131 Padova, Italy;
Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universita` di Udine, viale delle Scienze 208, 33100 Udine, Italy; The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Ontario M5S 3G4, Canada

Abstract: Using the multiple-scale approach, we derive an analytical expression for the conversion efficiency of second-harmonic generation (SHG) in a one-dimensional photonic crystal. The results, obtained in the undepleted pump limit for the continuous-wave case, allow us to describe the role played by the feedback and the dispersion introduced by the periodic structure and hence to optimize the SHG process. Numerical simulations are then used to explore the pulsed pump case, proving that the obtained results retain their validity up to a pump field bandwidth of less than approximately 12% of the stack transmission bandwidth. Shorter pulses experience both a reduced conversion efficiency and shape distortions. (C) 2003 Optical Society of America.


Volume: 20 (9)      Pages from: 1853  to: 1865

KeyWords: Nonlinear opticsa
DOI: 10.1364/JOSAB.20.001853

Citations: 3
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