Year: 2011
Communications in Computational Physics, Vol. 10 (2011), Iss. 1 : pp. 57–69
Abstract
A computational study on the enhancement of the second harmonic generation (SHG) in one-dimensional (1D) photonic crystals is presented. The mathematical model is derived from a nonlinear system of Maxwell's equations, which partly overcomes the shortcoming of some existing models based on the undepleted pump approximation. We designed an iterative scheme coupled with the finite element method which can be applied to simulate the SHG in one dimensional nonlinear photonic band gap structures in our previous work. For the case that the nonlinearity is strong which is desirable to enhance the conversion efficiency, a continuation method is introduced to ensure the convergence of the iterative procedure. The convergence of our method is fast. Numerical experiments also indicate the conversion efficiency of SHG can be significantly enhanced when the frequencies of the fundamental and the second harmonic wave are tuned at the photonic band edges. The maximum total conversion efficiency available reaches more than 50% in all the cases studied.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.150710.290910a
Communications in Computational Physics, Vol. 10 (2011), Iss. 1 : pp. 57–69
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
-
Computational design for efficient second-harmonic generation in nonlinear photonic crystals
Yuan, Jianhua | Yang, JianJournal of the Optical Society of America B, Vol. 30 (2013), Iss. 1 P.205
https://doi.org/10.1364/JOSAB.30.000205 [Citations: 8] -
A posterior error estimates for the nonlinear grating problem with transparent boundary condition
Wang, Zhoufeng | Zhang, YunzhangNumerical Methods for Partial Differential Equations, Vol. 31 (2015), Iss. 4 P.1101
https://doi.org/10.1002/num.21937 [Citations: 1]