Nonradiating and minimum energy sources and their fields: generalized source inversion theory and applications

A new general framework for characterizing scalar and electromagnetic (EM) nonradiating (NR) and minimum energy (ME) sources and their fields is developed that is of interest for both radiation and source reconstruction problems. NR sources are characterized in connection with the concept of reciprocity as nonreceptors. Localized ME sources are shown to be free fields truncated within the source's support. A new source analysis tool is developed that is based on the decomposition of a source and its field into their radiating and NR components. The individual radiating and reactive energy roles of the radiating and NR parts of a source are characterized. The general theory is illustrated with a time-harmonic EM example.

[1]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[2]  L. Marton,et al.  Advances in Electronics and Electron Physics , 1958 .

[3]  H. Moses,et al.  Solution of Maxwell's Equations in Terms of a Spinor Notation: the Direct and Inverse Problem , 1959 .

[4]  R. Collin.  Field theory of guided waves , 1960 .

[5]  G. Arfken.  Mathematical Methods for Physicists , 1967 .

[6]  A. J. Devaney,et al.  Radiating and nonradiating classical current distributions and the fields they generate , 1973 .

[7]  G. D. Monteath.  Applications of the Electromagnetic Reciprocity Principle , 1973 .

[8]  F. G. Friedlander.  An Inverse Problem for Radiation Fields , 1973 .

[9]  Jack K. Cohen,et al.  Nonuniqueness in the inverse source problem in acoustics and electromagnetics , 1975 .

[10]  R. P. Porter,et al.  Holography and the inverse source problem , 1982 .

[11]  A. Devaney,et al.  Nonuniqueness in inverse source and scattering problems , 1982 .

[12]  R. P. Porter,et al.  Generalized holography and computational solutions to inverse source problems , 1982 .

[13]  A. Devaney,et al.  Inverse Source and Scattering Problems in Ultrasonics , 1983, IEEE Transactions on Sonics and Ultrasonics.

[14]  H. Moses.  The time‐dependent inverse source problem for the acoustic and electromagnetic equations in the one‐ and three‐dimensional cases , 1984 .

[15]  I. Lahaie,et al.  Inverse source problem for three-dimensional partially coherent sources and fields , 1985 .

[16]  Anthony J. Devaney,et al.  Holography and the inverse source problem. Part II: Inhomogeneous media , 1985 .

[17]  Mario Bertero,et al.  Linear inverse problems with discrete data. I. General formulation and singular system analysis , 1985 .

[18]  B. Dayanand Reddy.  Functional Analysis and Boundary Value Problems: An Introductory Treatment , 1986 .

[19]  I. Lahaie,et al.  Uniqueness of the inverse source problem for quasi-homogeneous, partially coherent sources , 1986 .

[20]  Kisik Kim,et al.  Non-radiating monochromatic sources and their fields , 1986 .

[21]  Akira Ishimaru,et al.  Holography and the inverse source problem. III. Inhomogeneous attenuative media , 1987 .

[22]  C. Balanis.  Advanced Engineering Electromagnetics , 1989 .

[23]  M. Bertero.  Linear Inverse and III-Posed Problems , 1989 .

[24]  Kisik Kim,et al.  A new method for specifying nonradiating, monochromatic, scalar sources and their fields , 1989 .

[25]  Tarek M. Habashy,et al.  Invisible Bodies and Uniqueness of the Inverse Scattering Problem , 1993 .

[26]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[27]  J. Bladel.  Singular electromagnetic fields and sources , 1996 .

[28]  A. Devaney,et al.  Analysis and characterization of ultrawideband scalar volume sources and the fields they radiate , 1997 .

[29]  A. Devaney,et al.  Analysis and characterization of ultrawide-band scalar volume sources and the fields they radiate. II. Square pulse excitation , 1998 .

[30]  Bernhard J. Hoenders,et al.  THE NON-RADIATING COMPONENT OF THE FIELD GENERATED BY A FINITE MONOCHROMATIC SCALAR SOURCE DISTRIBUTION , 1998 .

[31]  A method for specifying non-radiating, monochromatic, scalar sources and their fields , 1998 .

[32]  Greg Gbur,et al.  Nonpropagating string excitations , 1998 .

[33]  A. Devaney,et al.  The inverse source problem of electromagnetics: linear inversion formulation and minimum energy solution , 1999 .

[34]  Anthony J. Devaney,et al.  New aspects of the inverse source problem with far-field data , 1999 .

[35]  Inverse source problem with regularity constraints: normal solution and nonradiating source components , 2000 .