Frequency-Domain Integral Equations of Scattering for Complex Scalar Responses

A rigorous frequency-domain forward model of scattering is derived that relates any desired complex-valued scalar response to the vectors of the electromagnetic field. The model is valid in any reciprocal medium. The S-parameter forward model is derived as a special case. The forward model for the open-circuit voltage at the terminals of a receiving antenna is also given. The proposed model is useful in microwave imaging since it eliminates the need to employ inadequate approximations of: 1) Green’s dyadic function and 2) the relation between the field in the antenna vicinity and its response. As a validation, the magnitude and phase distributions of fields are mapped using a small scattering probe in reflection-coefficient measurements. The maps contain both the magnitude and the phase distributions. The application of the proposed model in imaging is also demonstrated.

[1]  J. Hansen.  Spherical near-field antenna measurements , 1988 .

[2]  Matteo Pastorino,et al.  Microwave Imaging: Pastorino/Imaging , 2010 .

[3]  R. Bansal,et al.  Antenna theory; analysis and design , 1984, Proceedings of the IEEE.

[4]  Michael B. Steer,et al.  Microwave Network Analysis , 2016 .

[5]  S. Noghanian,et al.  Analysis of Incident Field Modeling and Incident/Scattered Field Calibration Techniques in Microwave Tomography , 2011, IEEE Antennas and Wireless Propagation Letters.

[6]  M Moghaddam,et al.  Multipole and S-Parameter Antenna and Propagation Model , 2011, IEEE Transactions on Antennas and Propagation.

[7]  J. Bandler,et al.  Analytical Adjoint Sensitivity Formula for the Scattering Parameters of Metallic Structures , 2012, IEEE Transactions on Microwave Theory and Techniques.

[8]  Natalia K. Nikolova,et al.  Microwave Holography Using Point-Spread Functions Measured With Calibration Objects , 2015, IEEE Transactions on Instrumentation and Measurement.

[9]  W. Chew.  Waves and Fields in Inhomogeneous Media , 1990 .

[10]  Arthur D. Yaghjian,et al.  Scattering-matrix analysis of linear periodic arrays , 2002 .

[11]  N. Nikolova,et al.  Near-field detection at microwave frequencies based on self-adjoint response sensitivity analysis , 2010 .

[12]  Ibrahim Akduman,et al.  Qualitative Microwave Imaging With Scattering Parameters Measurements , 2015, IEEE Transactions on Microwave Theory and Techniques.

[13]  Weng Cho Chew,et al.  Integral Equation Methods for Electromagnetic and Elastic Waves , 2007, Synthesis Lectures on Computational Electromagnetics.

[14]  N. K. Nikolova,et al.  Microwave Holographic Imaging Using the Antenna Phaseless Radiation Pattern , 2012, IEEE Antennas and Wireless Propagation Letters.

[15]  Magdalena Salazar-Palma,et al.  Iterative and self-adaptive finite-elements in electromagnetic modeling , 1998 .

[16]  David R. Smith,et al.  Software Calibration of a Frequency-Diverse, Multistatic, Computational Imaging System , 2016, IEEE Access.

[17]  Felix Hueber,et al.  An Introduction To Classical Electromagnetic Radiation , 2016 .

[18]  D. Malacara-Hernández,et al.  PRINCIPLES OF OPTICS , 2011 .

[19]  Arthur D. Yaghjian,et al.  Plane-wave theory of time-domain fields : near-field scanning applications , 1999 .

[20]  M. Moghaddam,et al.  Vector Green's function for S-parameter measurements of the electromagnetic volume integral equation , 2011, IEEE Transactions on Antennas and Propagation.

[21]  R. Harrington.  Time-Harmonic Electromagnetic Fields , 1961 .

[22]  Chiang Ching Shan.  Microwave Imaging , 1979, 1979 9th European Microwave Conference.

[23]  Jean-Charles Bolomey,et al.  Engineering applications of the modulated scatterer technique , 2001 .

[24]  Natalia K. Nikolova,et al.  Three-Dimensional Near-Field Microwave Holography for Tissue Imaging , 2012, Int. J. Biomed. Imaging.

[25]  N. Joachimowicz,et al.  SICS: a sensor interaction compensation scheme for microwave imaging , 2002 .

[26]  Sheng Tu,et al.  Fast quantitative microwave imaging with resolvent kernel extracted from measurements , 2015 .

[27]  Maryam Ravan,et al.  Three-Dimensional Microwave Holographic Imaging Employing Forward-Scattered Waves Only , 2013 .

[28]  A. Hasib,et al.  $S$ -Parameter Sensitivities for Electromagnetic Optimization Based on Volume Field Solutions , 2009, IEEE Transactions on Microwave Theory and Techniques.

[29]  Ville Viikari,et al.  Reflection coefficient method for antenna radiation pattern measurements , 2015, 2015 European Radar Conference (EuRAD).

[30]  L. E. Larsen,et al.  Limitations of Imaging with First-Order Diffraction Tomography , 1984 .

[31]  Michael H. Francis,et al.  Accurate determination of planar near-field correction parameters for linearly polarized probes , 1988 .