Publications

@article{RN92,

title = {Finite-difference frequency-domain algorithm for modeling electromagnetic scattering from general anisotropic objects},

author = {Raymond C Rumpf and Cesar R Garcia and Eric A Berry and Jay H Barton},

url = {https://www.jpier.org/pierb/pier.php?paper=14071606},

doi = {doi:10.2528/PIERB14071606},

issn = {1937-6472},

year  = {2014},

date = {2014-09-12},

journal = {Progress In Electromagnetics Research B},

volume = {61},

pages = {55-67},

abstract = {The finite-difference frequency-domain (FDFD) method is a very simple and powerful approach for rigorous analysis of electromagnetic structures. It may be the simplest of all methods to implement and is excellent for field visualization and for developing new ways to model devices. This paper describes a simple method for incorporating anisotropic materials with arbitrary tensors for both permittivity and permeability into the FDFD method. The algorithm is benchmarked by comparing transmission and reflection results for an anisotropic guided-mode resonant filter simulated in HFSS and FDFD. The anisotropic FDFD method is then applied to a lens and cloak designed by transformation optics.},

keywords = {finite-difference frequency-domain (FDFD), finite-difference frequency-domain (FDFD)},

pubstate = {published},

tppubtype = {article}

}

@article{RN44,

title = {Simple implementation of arbitrarily shaped total-field/scattered-field regions in finite-difference frequency-domain},

author = {Raymond C Rumpf},

url = {https://www.jpier.org/pierb/pier.php?paper=11092006},

issn = {1937-6472},

year  = {2011},

date = {2011-11-10},

journal = {Progress In Electromagnetics Research},

volume = {36},

pages = {221-248},

abstract = {The total-field/scattered-field (TF/SF) formulation is a popular technique for incorporating sources into electromagnetic models like the finite-difference frequency-domain (FDFD) method. It is versatile and simplifies calculation of waves scattered from a device. In the context of FDFD, the TF/SF formulation involves modifying all of the finite-difference equations that contain field terms from both the TF and SF regions in order to make the terms compatible. While simple in concept, modifying all of the equations for arbitrarily shaped TF/SF regions is tedious and no solution has been offered in the literature to do it in a straightforward manner. This paper presents a simple and efficient technique for implementing the TF/SF formulation that allows the TF/SF regions to be any shape and of arbitrary complexity. Its simplicity and versatility are demonstrated by giving several practical examples including a diffraction grating, a waveguide problem, and a scattering problem with a cylindrical wave source.},

keywords = {finite-difference frequency-domain (FDFD), finite-difference frequency-domain (FDFD), scattered-field, TF/SF, total-field},

pubstate = {published},

tppubtype = {article}

}