Wave localization in two dimensional parabolic periodic refractive index profiles: a 4th order Runge–Kutta study
- 16 Downloads
In this work, we have studied the wave localization in a two dimensional parabolic periodic refractive index profile. Our calculations have been performed by developing a 4th order Runge–Kutta method. Effects of different parameters in refractive index profile and incident wave shape on the wave intensity and shape in the future are shown. Effects of the mentioned parameters on localization degree and total momentum of the system are also investigated. We find different parameters change intervals within which the excitation disperses. Thus no bound state is possible. Finally, we show when a bound state is present.
KeywordsWave localization 4th order Runge Kutta method Two dimensional parabolic periodic refractive index profile
We are grateful for Qom University of Technology supports.
- Lifshits, I.M., Gredeskul, A.S., Pastur, L.A.: Introduction to the Theory of Disordered Systems. Wiley, New York (1988)Google Scholar
- Shapiro, S.A., Hubral, P.: Elastic Waves in Random Media. Springer, Berlin (1999)Google Scholar
- Sheng, P.: Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena. Academic Press, San Diego (1995)Google Scholar