2026-09-21T09:39:09Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/72907 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Chew, Weng C. Xia, Tian 2015-01-21T19:49:22Z 2015-01-21T19:49:22Z 2014-12 2015-01-21 2014-12 This thesis is dedicated to using surface integral equations to solve electro- magnetic problems involved in integrated circuits. Since normally the sizes of the devices in this application are much smaller than the wavelength of the electromagnetic waves, special considerations are needed because of the low frequency breakdown. The augmented technique, a useful remedy for low frequency breakdown of the electric field integral equation is introduced as the background of this thesis. This augmented electric field integral equation provides a simple solu- tion for broadband electromagnetic simulation of perfect electric conductor structures. This thesis presented here exploits the augmented method for lossless and lossy dielectrics. The use of the conventional Rao-Wilton-Glisson (RWG) basis function as basis and testing functions fails because of the testing issue. Instead, the Buffa-Christiansen (BC) basis function is proposed to overcome this diffi- culty. With the combined use of RWG and BC basis functions, a new formu- lation is developed achieving a good convergence and accuracy. For highly lossy medium, however, a new integration scheme and a simple, efficient strategy with a fast algorithm is adopted. After these treatments, the skin depth of current in the conductive medium can be accurately captured down to very low frequency. Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-11-10T15:29:46Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Xia_Tian.pdf: 13048970 bytes, checksum: 50bb7effdf503b5b6a2bcaf2bb758c95 (MD5) Made available in DSpace on 2015-01-21T19:49:22Z (GMT). No. of bitstreams: 1 Tian_Xia.pdf: 13048970 bytes, checksum: 50bb7effdf503b5b6a2bcaf2bb758c95 (MD5) http://hdl.handle.net/2142/72907 en Copyright 2014 Tian Xia Computational Electromagnetics Integral Equation Augmented electric field integral equation Dielectrics Conductors A surface integral equation method for dielectrics at low frequencies text Electrical & Computer Eng 1933 Electrical & Computer Engr 1200 University of Illinois at Urbana-Champaign Thesis M.S. MS:Electr & Computer Eng-UIUC 10KS1200MS