Modern Characterization of Electromagnetic Systems and its Associated Metrology
Conclusions References
12 6 Planar Near‐Field to Far‐Field Transformation Using a Single Moving Probe and a Fixed Probe Arrays Summary 6.1 Introduction 6.2 Theory 6.3 Integral Equation Formulation 6.4 Formulation of the Matrix Equation 6.5 Use of an Magnetic Dipole Array as Equivalent Sources 6.6 Sample Numerical Results 6.7 Summary 6.8 Differences between Conventional Modal Expansion and the Equivalent Source Method for Planar Near‐Field to Far‐Field Transformation 6.9 A Direct Optimization Approach for Source Reconstruction and NF‐FF Transformation Using Amplitude‐Only Data 6.10 Use of Computational Electromagnetics to Enhance the Accuracy and Efficiency of Antenna Pattern Measurements Using an Array of Dipole Probes 6.11 A Fast and Efficient Method for Determining the Far Field Patterns Along the Principal Planes Using a Rectangular Probe Array 6.12 The Influence of the Size of Square Dipole Probe Array Measurement on the Accuracy of NF‐FF Pattern 6.13 Use of a Fixed Probe Array Measuring Amplitude‐Only Near‐Field Data for Calculating the Far‐Field 6.14 Probe Correction for Use with Electrically Large Probes 6.15 Conclusions References
13 7 Spherical Near‐Field to Far‐Field Transformation Summary 7.1 An Analytical Spherical Near‐Field to Far‐Field Transformation 7.2 Radial Field Retrieval in Spherical Scanning for Current Reconstruction and NF–FF Transformation 7.3 Conclusion Appendix 7A A Fortran Based Computer Program for Transforming Spherical Near‐Field to Far‐Field References
14 8 Deconvolving Measured Electromagnetic Responses Summary 8.1 Introduction 8.2 The Conjugate Gradient Method with Fast Fourier Transform for Computational Efficiency 8.3 Total Least Squares Approach Utilizing Singular Value Decomposition 8.4 Conclusion References
15 9 Performance of Different Functionals for Interpolation/Extrapolation of Near/Far‐Field Data Summary 9.1 Background 9.2 Approximating a Frequency Domain Response by Chebyshev Polynomials 9.3 The Cauchy Method Based on Gegenbauer Polynomials 9.4 Near‐Field to Far‐Field Transformation of a Zenith‐Directed Parabolic Reflector Using the Ordinary Cauchy Method 9.5 Near‐Field to Far‐Field Transformation of a Rotated Parabolic Reflector Using the Ordinary Cauchy Method 9.6 Near‐Field to Far‐Field Transformation of a Zenith‐Directed Parabolic Reflector Using the Matrix Pencil Method 9.7 Near‐Field to Far‐Field Transformation of a Rotated Parabolic Reflector Using the Matrix Pencil Method 9.8 Conclusion References
16 10 Retrieval of Free Space Radiation Patterns from Measured Data in a Non‐Anechoic Environment Summary 10.1 Problem Background 10.2 Review of Pattern Reconstruction Methodologies 10.3 Deconvolution Method for Radiation Pattern Reconstruction 10.4 Effect of Different Types of Probe Antennas 10.5 Effect of Different Antenna Size 10.6 Effect of Using Different Sizes of PEC Plates 10.7 Extension of the Deconvolution Method to Three‐Dimensional Pattern Reconstruction 10.8 Conclusion Appendix A: Data Mapping Using the Conversion between the Spherical Coordinate System and the Cartesian Coordinate System Appendix B: Description of the 2D‐FFT during the Data Processing References
17 Index
List of Tables
1 Chapter 1Table 1.1 List of all the singular values of the matrixA.
2 Chapter 2Table 2.1 Percentage Errors occurring in the estimates using the MPM for nois...Table 2.2 Calculated Impulse Response of a Beatty standard terminated with 50...Table 2.3 Calculated Impulse