The full-wave electrodynamical analysis of open microwave discontinuities is performed by space domain integral equation approach. This approach employs the dyadic Green’s functions for grounded multi-layer dielectric configuration and can be used for single or multilayer dielectric with or without substrate. The Galerkin’s method is used for numerical solving the respective integral equations. Elements of received impedance matrix are calculated by combination of analytical and numerical integration. The characteristic network parameters of structure are determined by the matrix elements.
1. Lyshevski S.E. MEMS and NEMS: Systems, Devices and Structures CRC Press, Boca Raton, FL. – 2002. 2. Rebeiz G.M., FR MEMS. Theory, Design and Technology. – New York: Wiley, 2003. 3. Benedec P. and Silvester P. Equivalent Capacitance of Microstrip Gaps and Steps // IEEE Trans. Microwave Theory & Tech. – Nov. 1972. – Vol. MTT-20. – Р. 729–733. 4. Gupta C., Copinath A. Equivalent Circuits Capacitance for Right-Angle-Bends, T-junctions, and Crossings // IEEE Trans. Microwave Theory & Tech. – Oct. 1977. – Vol. MTT-25. – Р. 819–821. 5. Wertgen W., Jansen R.H. Efficient Direct and Iterative Electrodynamic analysis of Geometrically Complex Irregular MIC and MMIC-Structures // Int. Journal of Numerical Modeling. – Sept. 1989. – Р. 153–186. 6. Beyne L., de Zutter D. Green’s Function for Layered Lossy Media with Special Application to Microstrip Antenna // IEEE Trans. Microwave Theory & Tech. – May 1988. – Vol. MTT-36. – Р. 875–881. 7. Elliott R.S. The Green’s function for electric dipoles parallel to and above or within a grounded dielectric slab – Hughes Technical Correspondence. – Michigan University, 1978. 8. Harrington R.F. Field Computation by Moment Method. – New York: Macmillan, 1968. 9. Nam S., Ling H., Itoh T. Characterization of Uniform Microstrip Line and Its Discontinuities Using the Time-Domain Method of Lines // IEEE Trans. Microwave Theory & Tech. – Dec. 1989. – Vol. MTT-37. – Р. 2051–2057. 10. Sheen D.M., Ali S.M., Abouzahra M.D., Kong J.A. Application of the Three-Dimensional Finite-Difference Method to the Analysis of Planar Microstrip Circuits // IEEE Trans. Microwave Theory & Tech. – July 1990. – Vol. MTT-38. – Р. 849–857. 11. Harokopus W.P. High Frequency Characterization of Open Microstrip Discontinuities, Ph. D. Thesis. – University of Michigan, Radiation Laboratory. – June, 1991. – 138 p. 12. Фальковский О. И. Техническая электродинамика. – М., 1978. 13. Parhami P., Rahmat-Samii Y., and Mittra R. An Efficient Approach for Evaluating Sommerfeld Integrals Encountered in the Problem of a Current Element Radiating over Lossy Ground // IEEE Trans. Microwave Theory & Tech. – Jan. 1980. – Vol. MTT-28. – Р. 100–104, 14. Katehi P.B. and Alexopulos N.G. Real Axis Integration of Sommerfeld Integrals with Applications to Printed Circuit Antennas // J. Math. Physics. – March, 1983. – Vol. 24. – Р. 527–533. 15. Veerman J.A.C., Rusch J.J. and Urbach H.P. Calculation of the Rayleigh-Sommerfeld diffraction integral by exact integration of the fast oscillating factor // J. Opt. Soc. Am. – Apr. 2005. – Vol. 22. – Р. 636–646. 16. Марков Г.Т., Чаплин А.Ф. Возбуждение электромагнитных волн. – М., 1983. 17. Harokopus W.P. and Katehi P.B. Characterization of Microstrip Discontinuities on Multilayer Dielectric Substrates Including Radiation Losses // IEEE Trans. Microwave Theory & Tech. – Dec. 1989. – Vol. MTT-37. – Р. 2058–2066. 18. Справочник по специальным функциям / Под ред. М. Абрамовица и М. Стиган. – М., 1979. 19. Andriychuk M.I., Hemour S. Evaluation of impedance matrix elements for microstrip T-junction discontinuity // Proc. of XIIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-2007). – Lviv, Ukraine, 17–21 September, 2007. – Р. 54–58. 20. van Deventer T.E., Katehi P.B., Cangellaris A.C. An Integral Equation Method for the Evaluation of Conductor and Dielectric Losses in High Frequency Interconnectors // IEEE Trans. Microwave Theory & Tech. – Dec. 1989. – Vol. MTT-37. – Р. 1964–1971.