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Fast Methods for Inverse Wave Scattering Problems by
, 2008
"... Inverse wave scattering problems arise in many applications including computerized/diffraction tomography, seismology, diffraction/holographic grating design, object identification from radar singals, and semiconductor quality control. Efficient algorithms exist for some inverse wave scattering prob ..."
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Inverse wave scattering problems arise in many applications including computerized/diffraction tomography, seismology, diffraction/holographic grating design, object identification from radar singals, and semiconductor quality control. Efficient algorithms exist for some inverse wave scattering problems in the low and highfrequency regime or with weak scatterers. However, inverse wave scattering problems in the resonance regime with strong scatterers still pose many challenges. This thesis proposes algorithms for inverse wave scattering problems in the resonance regime with strong scatterers. These problems are part of, for instance, grating design, object identification, and semiconductor quality control. The proposed methods are (a) a
PhysicsBased NearEarth Radiowave Propagation Modeling and Simulation
, 2008
"... Tolstoy once wrote that the only certain happiness in life is to live for others. I have been fortunate to be a beneficiary of this sentiment as followed by those close to me. So I gratefully dedicate this to those constant shepherds of my life—the ones in my family. ii ACKNOWLEDGEMENTS In retrospec ..."
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Tolstoy once wrote that the only certain happiness in life is to live for others. I have been fortunate to be a beneficiary of this sentiment as followed by those close to me. So I gratefully dedicate this to those constant shepherds of my life—the ones in my family. ii ACKNOWLEDGEMENTS In retrospect, I would like to thank the faculty, staff, and students at The Radiation Laboratory at The University of Michigan for making my stay there a pleasant and productive experience as I carried out the research work for this dissertation. I am grateful to the members of my dissertation committee, Professor Eric Michielssen, Professor Mahta Moghaddam, and Professor Wayne Stark, for devoting their time and energy into this project; especially, I would like to express my appreciation to my research advisor, Professor Kamal Sarabandi, for so kindly providing his seeminglyinfinite wisdom, attentive mentorship, and thoughtful understanding in support of
Discrete Signals and Systems with MATLAB
"... p. cm.—(Electrical engineering textbook series; 2) Includes bibliographical references and index. ISBN 084931397X (alk. paper) ..."
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p. cm.—(Electrical engineering textbook series; 2) Includes bibliographical references and index. ISBN 084931397X (alk. paper)
iii
, 2008
"... Leo Tolstoy once wrote that the only certain happiness in life is to live for others. I have been fortunate to be a beneficiary of this sentiment as followed by those close to me. So I gratefully dedicate this to those constant shepherds of my life—the ones in my family. ii ACKNOWLEDGEMENTS In retro ..."
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Leo Tolstoy once wrote that the only certain happiness in life is to live for others. I have been fortunate to be a beneficiary of this sentiment as followed by those close to me. So I gratefully dedicate this to those constant shepherds of my life—the ones in my family. ii ACKNOWLEDGEMENTS In retrospect, I would like to thank the faculty, staff, and students at The Radiation Laboratory at The University of Michigan for making my stay there a pleasant and productive experience as I carried out the research work for this dissertation. I am grateful to the members of my dissertation committee, Professor Eric Michielssen, Professor Mahta Moghaddam, and Professor Wayne Stark, for devoting their time and energy into this project; especially, I would like to express my appreciation to my research advisor, Professor Kamal Sarabandi, for so kindly providing his seeminglyinfinite wisdom, attentive mentorship, and thoughtful understanding in support of
Transient Analysis of a Rectangular Cavity Containing an Interior Scatterer Using TDEFIE With Weighted Laguerre Polynomials as Temporal Basis Functions
"... order to predict transient response of a wire enclosed within a rectangular cavity. The wire and cavity are excited by an external incident transient electromagnetic wave through a slot in the cavity wall. The formulation of the TDEFIE is based on equivalence principle and boundary conditions takin ..."
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order to predict transient response of a wire enclosed within a rectangular cavity. The wire and cavity are excited by an external incident transient electromagnetic wave through a slot in the cavity wall. The formulation of the TDEFIE is based on equivalence principle and boundary conditions taking account the effect of reflection from cavity walls. The equations are efficiently solved by Method of Moments. The transient unknown coefficients of the electric current at the wire and magnetic current at the slot are approximated using a set of orthonormal temporal basis functions derived from Laguerre Polynomials. The analysis demonstration is presented to prove that the novel TDEFIE combined to MoM is able to solve this critical problem. No latetime instability is encountered. 1.
A SIMPLE TECHNIQUE FOR OPTIMIZING THE IMPLE MENTATION OF THE APERTURE THEOREM BASED ON EQUIVALENCE PRINCIPLE
, 2012
"... Abstract—The electromagnetic characteristic of the aperture located on a PEC (Perfect Electric Conductor) cavity is an important and challenging research in CEM (Computational Electromagnetics) and practical applications. Researches have been done well when the apertures located on a large flat surf ..."
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Abstract—The electromagnetic characteristic of the aperture located on a PEC (Perfect Electric Conductor) cavity is an important and challenging research in CEM (Computational Electromagnetics) and practical applications. Researches have been done well when the apertures located on a large flat surface. But the complex slots and apertures are still difficult to analyze, such as a thin long slot. The thin long slots present on different kinds of structures, such as missiles, aircrafts, handset equipments, and computers. In addition, most of the surfaces are nonflat. Furthermore, the multiscale characteristic of the structure makes the modeling very difficult in such cases. It becomes an increasing interesting research recently. A better result can be obtained by generating much more denser meshes. Because of the complexity of the algorithm and the illposed matrix problem, it is not an optimized option. In order to get a better use of the aperture theorem in the multiscale problems, a separation technique is developed in this paper. By using the readjustment of the equivalent electric and magnetic currents, a simplified model is proposed. Arbitrary shaped aperture can be very well handled through this method, especially the thin long slots. 1.