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

Aitchison, J. (2003) Multiple-scale coupled-mode theory for second-harmonic generation in one-dimensional periodic structures. Journal of the Optical Society of America B: Optical Physics, 20(9), pp. 1853-1865.

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: UNSPECIFIED
• Authors: Aitchison, J.
• College/School: College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
• Journal Name: Journal of the Optical Society of America B: Optical Physics
• Publisher: Optical Society of America
• ISSN: 0740-3224