Surface integral equation methods for simulation and optimisation of electromagnetic components

Research Staff: Svetlana V. Boriskina, Phillip Sewell, Trevor M. Benson, Alexander Nosich

Collaborators: Department of Computational Electromagnetics, Institute of Radio Physics & Electronics NASU, Kharkov, Ukraine

This work is supported by the Royal Society, UK and the Engineering and Physical Sciences Research Council (EPSRC), UK

Objectives: Develop innovative fast, accurate and reliable 2-D and 3-D methods and algorithms based on the surface integral equation formulation to simulate and design novel electromagnetic components with enhanced performance

Methods: Surface (Muller) integral equations; Green’s function method; Product integration technique; High-order numerical integration

Highly accurate, fast and economical analytical techniques and algorithms are developed and implemented to simulate and optimise novel-shape wavelength-scale waveguide and resonator structures for the next-generation optoelectronic, THz and milimetre-wave systems. Such specially designed components increase the functionality and improve the performance of electromagnetic devices

Developing high-contrast wavelength-scale components with required characteristics presents a design challenge, which can only be met by rigorous analytical techniques and robust numerical modelling. The method of surface integral equations (SIE) is chosen as a fast and reliable design tool for this project. It has been demonstrated to provide remarkable accuracy and excellent agreement with experimental data as well as a clear physical insight into the electromagnetic field behaviour. For complex 2-D, and especially for 3-D computations, the application of the SIE method together with the Green’s function technique and high-order integration results in dramatic reductions in required computational resources, i.e., memory and CPU time, and thus opens the ways to model practical complex problems accurately and efficiently.

Publications

[1] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Spectral Shift and Q-Change of Circular and Square-Shaped Optical Microcavity Modes due to Periodical Sidewall Surface Roughness, submitted to Optics Letters
[2] S.V. Boriskina, P. Sewell, T.M. Benson, A.I. Nosich, Accurate Simulation of 2D Optical Microcavities with Uniquely Solvable Boundary Integral Equations and Trigonometric-Galerkin Discretization, Journal of the Optical Society of America A, vol. 21, no.3, pp. 393-402, March 2004.
[3] T.M. Benson, P. Sewell, A. Vukovic, S.V. Boriskina, S. Greedy, Design Tools for Photonics: Rising to the Challenge, IEEE LEOS Newsletter, vol. 18, no. 1, pp. 5-7, Feb 2004.
[4] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Tuning of Elliptic Whispering-Gallery-Mode Microdisk Waveguide Filters, IEEE/OSA Journal of Lightwave Technology, vol. 21, no. 9, pp. 1987-1995, Sept. 2003.
[5] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Highly Efficient Design of Specially Engineered Whispering-Gallery-Mode Laser Resonators, Optical and Quantum Electronics, vol. 35, pp. 545-559, March/April 2003.
[6] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Highly Efficient Full-Vectorial Integral Equation Solution for the Bound, Leaky, and Complex Modes of Dielectric Waveguides, IEEE Journal of Selected Topics in Quantum Electronics, vol. 8, no. 6, pp. 1225-1232, Nov/Dec 2002.
[7] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Effect of a Layered Environment on the Complex Natural Frequencies of Two-Dimensional WG-Mode Dielectric-Ring Resonators, IEEE/OSA Journal of Lightwave Technology, vol. 20, no. 8, pp. 1563-1572, August 2002.
[8] S.V. Boriskina, C. Styan, T.M. Benson, P. Sewell, A.I. Nosich, Design and Optimization of Planar Waveguide Network Components Based on Optical Microcavities, LEOS Annual Meeting Conference Proceedings, pp. 836-837, Tucson, Arizona, 2003.
[9] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Regularized Boundary Integral Equation Method for CAD and Optimization of Optical Microcavities, Proc. ICTON’03 Int. Conf., Warsaw, Poland, 2003.
[10] T.M. Benson, A. Vukovic, S.V. Boriskina, S. Greedy, C. Styan, P. Sewell, Analytic and Semi-Analytic Modeling of Photonic Circuits, (INVITED), Integrated Photonic Research Meeting Tech. Digest, Washington DC, USA, 2003.
[11] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Integral Equation Method for Studying the Resonant Spectra of Isolated and Waveguide-Coupled Optical Microcavities, 11th Int. Workshop on Optical Waveguide Theory and Numerical Modeling, Prague, Czech Republic, 2003.
[12] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Full-Vectorial Integral Equation Analysis of Arbitrary Shaped Waveguides Including Leakage, Losses and Gain, Proc. PIERS'2002 Symposium, Cambridge, MA, 2002.
[13] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Vector Modes of Dielectric Waveguides of Arbitrary Cross-Section, Integrated Photonic Research Meeting Tech. Digest, Monterey, California, 2001.
[14] S.V. Boriskina, T.M. Benson, P. Sewell, Full-Vectorial Analysis of Dielectric Waveguides of Arbitrary Cross-Section Shape, Proc. European Conference on Integrated Optics ECIO’01, Paderborn, Germany, 2001.
[15] S.C. Greedy, S.V. Boriskina, P. Sewell, T.M. Benson, Design and Simulation Tools for Optical Micro-Resonators, Proc. Photonics West Conference, San Jose, California, 2001.
[16] S.V. Boriskina, T. M. Benson, P. Sewell, A.I. Nosich, Resonant Spectra of the WGM Dielectric Resonators Deformed from the Circular Geometry, Proc. MMET-2000 Int. Conference, Kharkov, Ukraine, pp. 541-543, 2000.
[18] S. Greedy, P. Sewell, S.V. Boriskina, T.M. Benson, Efficient Analysis of Semiconductor Resonators (INVITED), Proc. PIERS'2000 Symposium, Boston, USA, 2000.
[19] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Destruction of the Whispering Gallery Modes in Dielectric Resonators due to Shape and Curvature Perturbations, Integrated Photonic Research Meeting Tech. Digest, Quebec, Canada, 2000.
[20] S.V. Boriskina, T.M. Benson, P. Sewell, A.I. Nosich, Fast and Accurate Study of the Resonant Spectrum of WGM Dielectric Resonator Loaded with a Planar Waveguide, 8th Int. Workshop on Optical Waveguide Theory and Numerical Modelling, Prague, Czech Republic, 2000.