Self-phase modulation in slow-wave structures: A comparative numerical analysis

Abstract

Self-phase modulation effects in 1D optical slow-wave structures made of Fabry-Pérot cavities coupled by Distributed Bragg Reflectors (DBRs) are discussed. The nonlinear response of the structure is investigated by a comparative analysis of several numerical methods operating either in time or frequency-domain. Time-domain methods include two Finite-Difference Time-Domain approaches, respectively, optimized to compensate for numerical dispersion and to model nonlinearity at any order. In the frequency-domain an efficient method based on a numerical integration of Maxwell’s equations and an iterative nonlinear extension of the Eigenmode Expansion method are discussed. A Nonlinear Equivalent Circuit of DBRs is also presented as a useful model to reduce computational efforts. Numerical results show that bistable effects and self-pulsing phenomena can occur when either the optical power or the number of coupled cavities of the structure are sufficiently increased

Design and Fabrication of Variable Optical Signal Delay Line Based on Polymer Coupled Ring Resonators

“…원자 매질에서의 전자 공진 현상을 이용하는 경우 가장 작은 군속도를 얻을 수 있기는 하지만, 대용량 광통신 시스템에 활용하기에는 대역폭이 너무 좁고 저온에서 동작 시켜야 하 는 등 실용적으로 적용하기에 부적당한 면이 여전히 존재한 다. [2][3] 수 km 정도의 유리 광섬유에서 유도 브릴루앙 산란 [8][9] , 결합 링 공진기 [10][11] , 또는 광 결정의 결합 결함 모드 [12] …”

Techniques for embedding non-linear materials in TLM

“…For the same step size the time-step in a 3D calculation is half that required for a 1D one [1]. Time-domain non-linear models such as these are powerful tools for observing the transient and self-pulsation effects in non-linear 1D cavities [7].…”

Dynamical analysis of double-ring resonator with non-instantaneous Kerr response and effect of loss

“…Coupling of two or more cavities not only enhances nonlinear effects (Melloni et al 2003;Chen and Blair 2004), which are inherently weak, but also offers more control over the desired functionality and, compared with single cavity structures, enables qualitatively different behavior (Dumeige and Féron 2005;Morichetti et al 2006;Maes et al 2009;Grigoriev and Biancalana 2011). For such systems, even the instantaneous Kerr response leads to SP and chaos (Morichetti et al 2006;Petráček et al 2011); detailed classification of the states in short chains of coupled microcavities was presented in (Maes et al 2009).…”

“…For such systems, even the instantaneous Kerr response leads to SP and chaos (Morichetti et al 2006;Petráček et al 2011); detailed classification of the states in short chains of coupled microcavities was presented in (Maes et al 2009). The behavior of the coupled structures is similar to those observed in one-dimensional nonlinear photonic crystals (Lidorikis and Soukoulis 2000) and thus SP can be attributed to generation of gap solitons (Maes et al 2009); for long, tightly coupled, microring chains, such generation was studied in (Chamorro-Posada et al 2012).…”