Integration of Traveling Wave Optical Device Models Into an MNA-Based Circuit Simulator

This article presents a method for integrating traveling wave models (TWMs) into an optical circuit simulator based on modified nodal analysis (MNA) techniques previously developed for electrical circuit simulation. TWMs of optical propagation through waveguides provide flexible distributed descriptions of optical devices from simple waveguides to lasers. The model is, however, by definition an explicit time marching method and does not fit naturally into an MNA formulation. This article will show a method of integrating the TWM into a fully implicit multidomain (electrical/optical) circuit simulator based on MNA techniques. It will first describe the TWM for simple optical propagation and then its extension for optical gratings, amplifiers, and lasers. The integration of the TWM model into the MNA-based engine will then be specified, showing how the model is implemented using nonlinear optical sources. Finally, a set of examples, including waveguides, filters, and electro-optic devices will be used to show the effectiveness of the technique.

[1]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[2]  Joachim Piprek.  Handbook of Optoelectronic Device Modeling and Simulation: Lasers, Modulators, Photodetectors, Solar Cells, and Numerical Methods , 2017 .

[3]  Mindaugas Radziunas,et al.  Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers , 2010 .

[4]  Jerome V Moloney,et al.  Effective Bloch equations for semiconductor lasers and amplifiers , 1997 .

[5]  R. Alferness,et al.  Guided-wave optoelectronics , 1988 .

[6]  Mindaugas Radziunas,et al.  Impact of gain dispersion on the spatio-temporal dynamics of multisection lasers , 2001 .

[7]  Mindaugas Radziunas,et al.  Semiconductor ring laser with filtered optical feedback: traveling wave description and experimental validation , 2018 .

[8]  Jackson Klein,et al.  Design methodologies for silicon photonic integrated circuits , 2014, Photonics West - Optoelectronic Materials and Devices.

[9]  L. Chrostowski,et al.  Silicon Photonics Design: From Devices to Systems , 2015 .

[10]  Cem Bonfil,et al.  Integration of traveling wave laser model into an mixed electrical/optical circuit simulator , 2015, 2015 IEEE Optical Interconnects Conference (OI).

[11]  J. Cartledge,et al.  Extraction of DFB laser rate equation parameters for system simulation purposes , 1996, Conference Proceedings LEOS'96 9th Annual Meeting IEEE Lasers and Electro-Optics Society.

[12]  Albert E. Ruehli,et al.  The modified nodal approach to network analysis , 1975 .

[13]  Jan Sieber,et al.  Numerical Bifurcation Analysis for Multisection Semiconductor Lasers , 2002, SIAM J. Appl. Dyn. Syst..

[14]  Winnie N. Ye,et al.  Circuit-level transient simulation of configurable ring resonators using physical models , 2011 .

[15]  C. Henry.  Theory of the linewidth of semiconductor lasers , 1982 .

[16]  Zeyu Zhang,et al.  Compact Modeling for Silicon Photonic Heterogeneously Integrated Circuits , 2017, Journal of Lightwave Technology.

[17]  John E. Bowers,et al.  High speed semiconductor laser design and performance , 1987 .

[18]  Sylwester Latkowski,et al.  InP-Based Generic Foundry Platform for Photonic Integrated Circuits , 2018, IEEE Journal of Selected Topics in Quantum Electronics.

[19]  P Gunupudi,et al.  Self-Consistent Simulation of Opto-Electronic Circuits Using a Modified Nodal Analysis Formulation , 2010, IEEE Transactions on Advanced Packaging.

[20]  Arthur James Lowery,et al.  New dynamic semiconductor laser model based on the transmission-line modelling method , 1987 .

[21]  Lukas Chrostowski,et al.  Silicon Photonics Circuit Design: Methods, Tools and Challenges , 2018 .