Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies

By J. Zhao, Weng Cho Chew. 2000

486 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/7c80e990dbb4a46f8525e1b6007305ec08394827

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Current and charge Integral equation formulation (2006, methodology): “With a special rearrangement of the basis functions [1], the convergence of iterative solution is relative fast but this method only works at the low frequencies and for the higher frequencies it needs to be switched back to the traditional methods.”
Vector Potential Electromagnetics with Generalized Gauge for Inhomogeneous Media: Formulation (Invited Paper) (2014, methodology): “Different formulations using tree-cotree, or loop-tree decomposition [12–16], have to be sought when the frequency is low or the wavelength is long.”
Generalized Impedance Boundary Condition for Conductor Modeling in Surface Integral Equation (2007, background): “The matrix representation of the electric-field integral equation in Rao–Wilton–Glisson basis functions can simply be written as [17]”
Loop star basis functions and a robust preconditioner for EFIE scattering problems (2003, background): “The low frequency instability can be resolved by employing the loop-star basis functions as pointed out by previous authors [5]–[7].”
Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects (2005, background): “In [3], the problem is solved by transforming the matrix equation of the EFIE at low frequencies by a connection matrix which represents a rearrangement of the basis functions.”
Surface integral equation formulations for solving electromagnetic scattering problems with iterative methods (2005, background): “However, many of the traditional surface integral equation formulations lead to ill-conditioned matrix equations and slowly converging iterative solutions [ Zhao and Chew, 2000 ].”