On the Relationship Between Multiple-Scattering Macro Basis Functions and Krylov Subspace Iterative Methods

• Published in: IEEE transactions on antennas and propagation Vol. 61; no. 4; pp. 2088 - 2098
• Main Authors: Ozdemir, N. A., Gonzalez-Ovejero, D., Craeye, C.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-04-2013; Institute of Electrical and Electronics Engineers
• Subjects: Accuracy; Antennas; Applied sciences; Arrays; Electromagnetism; Engineering Sciences; Equations; Exact sciences and technology; Iterative methods; Krylov subspace methods; macro basis functions (MBFs); method-of-moments (MoM); Moment methods; Radiocommunications; Silicon; Telecommunications; Telecommunications and information theory; Vectors; macro basis functions (MBFs); Krylov subspace methods; method-of-moments (MoM); Moment method; Subspace method; Krylov subspace method; Iterative method; Multiple scattering; Orthogonality; Conducting body; Accuracy; Basis function; Spread function; Slot antenna; Impedance matrix; Aircraft
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2012.2234712

A mathematical link is provided between the Krylov subspace iterative approach based on the full orthogonalization method (FOM) and the macro basis functions (MBF) approach based on a multiple-scattering methodology. The link refers to the subspaces created by those methods as well as to the orthogonality conditions which they satisfy. Both approaches are applied to the same method-of-moments (MoM) system of equations that is preconditioned based on a closest-interaction rule, and where blocks of the MoM impedance matrix are compressed using a rank-revealing method. MBF and FOM approaches are compared numerically, with a special attention given to accuracy, for perfectly conducting objects, comprising an array of tapered-slot antennas, spheres and an aircraft. The respective advantages of both methods are briefly discussed and further prospects are given.