Analysis of multilayered periodic structures using generalized scattering matrix theory

• Published in: IEEE transactions on antennas and propagation Vol. 36; no. 4; pp. 511 - 517
• Main Authors: Hall, R.C., Mittra, R., Mitzner, K.M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-04-1988; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit theory; Dielectrics; Diffraction gratings; Diffraction, scattering, reflection; Exact sciences and technology; Frequency; Nonhomogeneous media; Periodic structures; Radiocommunications; Radiowave propagation; Reflection; Scattering parameters; Slabs; Strips; Telecommunications; Telecommunications and information theory; Diffusion matrix; Wave scattering; Theoretical study; Laminated structure; Electromagnetic wave; Periodic structure; Structural analysis
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/8.1140

The use of generalized scattering matrix theory is proposed as a fast, efficient approach for analyzing multilayer structures where in each layer is either a diffraction grating or a uniform dielectric slab, and all grating layers have the same periodicity. The overall scattering from the structure is determined by first evaluating a matrix of scattering parameters for each individual layer and then forming a scattering matrix for the entire structure by a procedure analogous to the cascading of networks in circuit theory. Higher-order spatial (Floquet) harmonics, including nonpropagating modes and cross-polarized fields, are taken into account as necessary. The approach is illustrated by computing the reflection coefficient of a multilayered resistive strip grating as a function of frequency.< >