Abstract
In literature, the Galerkin's method is usually applied in analysis of microstrip waveguides and couplers. Below, a new method is proposed that is a generalization of one developed previously for analysis of SAW waveguides [1] to the electromagnetic case. The proposed approach exploits some identities fulfilling by Fourier series which coefficients are expressed by Legendre functions.References
[1] E. DANICKI, Surface acoustic waves, propagation, generation and detection, Biul. WAT, 11 supplement (in Polish), 1976 see also Theory of surface acoustic waves slant propagation in periodic system of electrodes, J. Tech. Phys. 19, 1, 69-77 (1978).
[2] R. E. COLLIN, Field theory of guided waves, Mc Graw-Hill, NY 1960.
[3] H. Bateman, A. ERDELYI, Higher transcendential functions, Mc Graw-Hill, 1953.
[4] K. BLOTEKJAER, K. A. INGEBRIGTSEN, H. SKEIE, A method for analyzing waves in structures consisting of metal strips on dispersive media, IEEE Trans., ED-20, 1, 133-1138 (1973).
[5] E. DANICKI, D. GAFKA, Propagation, generation and detection of SAW in a multiperiodic system of metal strips on a piezoelectric substrate (in preparation).
[2] R. E. COLLIN, Field theory of guided waves, Mc Graw-Hill, NY 1960.
[3] H. Bateman, A. ERDELYI, Higher transcendential functions, Mc Graw-Hill, 1953.
[4] K. BLOTEKJAER, K. A. INGEBRIGTSEN, H. SKEIE, A method for analyzing waves in structures consisting of metal strips on dispersive media, IEEE Trans., ED-20, 1, 133-1138 (1973).
[5] E. DANICKI, D. GAFKA, Propagation, generation and detection of SAW in a multiperiodic system of metal strips on a piezoelectric substrate (in preparation).