A numerically efficient technique for the method of moments solution for planar periodic structures in layered media

• Published in: IEEE transactions on microwave theory and techniques Vol. 42; no. 4; pp. 635 - 643
• Main Authors: Kipp, R.A., Chan, C.H.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.1994; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit properties; Convergence; Dielectrics; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Frequency selective surfaces; Impedance; Matrix decomposition; Message-oriented middleware; Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits; Moment methods; Nonhomogeneous media; Periodic structures; Transmission line matrix methods; Analysis method; Wave propagation; Moment method; Impedance matrix; Waveguide; Computing method; Electromagnetic wave; Periodic structure
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.285070

A numerically efficient technique for the calculation of the method of moments (MoM) impedance matrix is presented for planar periodic structures rendered in arbitrary triangular discretizations and embedded in layer media. The technique is based on the MoM applied to a mixed potential integral equation (MPIE) in conjunction with triangular-domain basis functions. Rapid convergence of the matrix elements is achieved with a hybrid spectral/spatial decomposition of Green's functions. Transformations of the spectral to spatial Green's functions for layered media are performed by using complex images. Examples demonstrating the numerical efficiency and accuracy of the method are given.< >