Antenna Theory & Design

ROBERT S. ELLIOTT received a BS from Columbia University and an MS and PhD from University of Illinois at Champaign-Urbana and later served as the first department chairman of UCLA. He was the first person to hold the Hughes Distinguished Chair in Electromagnetics at UCLA and was the recipient of the APS Distinguished Achievement Award in 1988, as well as a half-dozen Best Teacher Awards, two Best Paper Awards from the IEEE, election to Tau Beta Pi, Sigma Xi, the New York Academy of Sciences, and the National Academy of Engineering. He became a Fellow of the IEEE in 1961 and in 2000 received an IEEE Third Millennium Medal. Dr. Elliott is also the author of Electromagnetics.

• Foreword to the Revised Edition. Preface to the Revised Edition.Preface.I SOURCE-FIELD RELATIONS SINGLE ANTENNA ELEMENTS.1 The Far-Field Integrals, Reciprocity, Directivity.1.1 Introduction.1.2 Electrostatics and Magnetostatics in Free Space.1.3 The Introduction of Dielectric, Magnetic, and Conductive Materials.1.4 Time-Varying Fields.1.5 The Retarded Potential Functions.1.6 Poynting's Theorem.1.7 The Stratton-Chu Solution.1.8 Conditions at Infinity.1.9 Field Values in the Excluded Regions.1.10 The Retarded Potential Functions: Reprise.1.11 The Far Field: Type I Antennas.1.12 The Schelkunoff Equivalence Principle.1.13 The Far Field: Type IL Antennas.1.14 The Reciprocity Theorem.1.15 Equivalence of the Transmitting and Receiving Patterns of an Antenna.1.16 Directivity and Gain.1.17 Receiving Cross Section.1.18 Polarization of the Electric Field.2 Radiation Patterns of Dipoles, Loops, and Helices.2.1 Introduction.2.2 The Center-Fed Dipole.2.3 Images in a Ground Plane.2.4 A Monopole Above a Ground Plane.2.5 A Dipole in Front of a Ground Plane.2.6 The Small Current Loop.2.7 Traveling Wave Current on a Loop.2.8 The End-Fire Helix.3 Radiation Patterns of Horns, Slots and Patch Antennas.3.1 Introduction.3.2 The Open-Ended Waveguide.3.3 Radiation from Horns.3.4 Center-Fed Slot in Large Ground Plane.3.5 Waveguide-Fed Slots.3.6 Theory of Waveguide-Fed Slot Radiators.3.7 Patch Antennas.II ARRAY ANALYSIS AND SYNTHESIS.4 Linear Arrays: Analysis.4.1 Introduction.4.2 Pattern Formulas for Arrays with Arbitrary Element Positions.4.3 Linear Arrays: Preliminaries.4.4 Schelkunoff's Unit Circle Representation.5 Linear Arrays: Synthesis.5.1 Introduction.5.2 Sum and Difference Patterns.5.3 Dolph-Chebyshev Synthesis of Sum Patterns.5.4 Sum Pattern Beamwidth of Linear Arrays.5.5 Peak Directivity of the Sum Pattern of a Linear Array.5.6 A Relation Between Beamwidth and Peak Directivity for Linear Arrays.5.7 Taylor Synthesis of Sum Patterns.5.8 Modified Taylor Patterns.5.9 Sum Patterns with Arbitrary Side Lobe Topography.5.10 Discretization of a Continuous Line Source Distribution.5.11 Bayliss Synthesis of Difference Patterns.5.12 Difference Patterns with Arbitrary Side Lobe Topography.5.13 Discretization Applied to Difference Patterns.5.14 Design of Linear Arrays to Produce Null-Free Patterns.6 Planar Arrays: Analysis and Synthesis.6.1 Introduction.6.2 Rectangular Grid Arrays: Rectangular Boundary and Separable Distribution.6.3 Circular Taylor Patterns.6.4 Modified Circular Taylor Patterns: Ring Side Lobes of Individually Arbitrary Heights.6.5 Modified Circular Taylor Patterns: Undulating Ring Side Lobes.6.6 Sampling Generalized Taylor Distributions: Rectangular Grid Arrays.6.7 Sampling Generalized Taylor Distributions: Circular Grid Arrays.6.8 An Improved Discretizing Technique for Circular Grid Arrays.6.9 Rectangular Grid Arrays with Rectangular Boundaries: Nonseparable Tseng-Cheng Distributions.6.10 A Discretizing Technique for Rectangular Grid Arrays.6.11 Circular Bayliss Patterns.6.12 Modified Circular Bayliss Patterns.6.13 The Discretizing Technique Applied to Planar Arrays Excited to Give a Difference Pattern.6.14 Comparative Performance of Separable and Nonseparable Excitations for Planar Apertures.6.15 Fourier Integral Representation of the Far Field.III SELF-IMPEDANCE AND MUTUAL IMPEDANCE, FEEDING STRUCTURES.7 Self-Impedance and Mutual Impedance of Antenna Elements.7.1 Introduction.7.2 The Current Distribution on an Antenna: General Formulation.7.3 The Cylindrical Dipole: Arbitrary Cross Section.7.4 The Cylindrical Dipole: Circular Cross Section, Hallen's Formulation.7.5 The Method of Moments.7.6 Solution of Hallén's Integral Equation: Pulse Functions.7.7 Solution of Hallé’n's Integral Equation: Sinusoidal Basis Functions.7.8 Self-Impedance of Center-Fed Cylindrical Dipoles: Induced EMF Method.7.9 Self-Impedance of Center-Fed Cylindrical Dipoles: Storer's Variational Solution.7.10 Self-Impedance of Center-Fed Cylindrical Dipoles: Zeroth and First Order Solutions to Hallen's Integral Equation.7.11 Self-Impedance of Center-Fed Cylindrical Dipoles: King-Middleton Second-Order Solution.7.12 Self-Impedance of Center-Fed Strip Dipoles.7.13 The Derivation of a Formula for the Mutual Impedance Between Slender Dipoles.7.14 The Exact Field of a Dipole: Sinusoidal Current Distribution.7.15 Computation of the Mutual Impedance Between Slender Dipoles.7.16 The Self-Admittance of Center-Fed Slots in a Large Ground Plane: Booker's Relation.7.17 Arrays of Center-Fed Slots in a Large Ground Plane: Self-Admittance and Mutual Admittance.7.18 The Self-Impedance of a Patch Antenna.8 The Design of Feeding Structures for Antenna Elements and Arrays.8.1 Introduction.8.2 Design of a Coaxially Fed Monopole with Large Ground Plane.8.3 Design of a Balun-Fed Dipole Above a Large Ground Plane.8.4 Two-Wire-Fed Slots: Open and Cavity-Backed.8.5 Coaxially Fed Helix Plus Ground Plane.8.6 The Design of an Endfire Dipole Array.8.7 Yagi-Uda Type Dipole Arrays: Two Elements.8.8 Yagi-Uda Type Dipole Arrays: Three or More Elements.8.9 Frequency-Independent Antennas: Log-Periodic Arrays.8.10 Ground Plane Backed Linear Dipole Arrays.8.11 Ground Plane Backed Planar Dipole Arrays.8.12 The Design of a Scanning Array.8.13 The Design of Waveguide-Fed Slot Arrays: The Concept of Active Slot Admittance (Impedance).8.14 Arrays of Longitudinal Shunt Slots in a Broad Wall of Rectangular Waveguides: The Basic Design Equations.8.15 The Design of Linear Waveguide-Fed Slot Arrays.8.16 The Design of Planar Waveguide-Fed Slot Arrays.8.17 Sum and Difference Patterns for Waveguide-Fed Slot Arrays; Mutual Coupling Included.IV CONTINUOUS APERTURE ANTENNAS.9 Traveling Wave Antennas.9.1 Introduction.9.2 The Long Wire Antenna.9.3 Rhombic and Vee-Antennas.9.4 Dielectric-Clad Planar Conductors.9.5 Corrugated Planar Conductors.9.6 Surface Wave Excitation.9.7 Surface Wave Antennas.9.8 Fast Wave Antennas.9.9 Trough Waveguide Antennas.9.10 Traveling Wave Arrays of Quasi-Resonant Discretely Spaced Slots [Main Beam at θ0= arccos(β/k)].9.11 Traveling Wave Arrays of Quasi-Resonant Discretely Spaced Slots (Main Beam Near Broadside).9.12 Frequency Scanned Arrays.10 Reflectors and Lenses.10.1 Introduction.10.2 Geometrical Optics: The Eikonal Equation.10.3 Simple Reflectors.10.4 Aperture Blockage.10.5 The Design of a Shaped Cylindrical Reflector.10.6 The Design of a Doubly Curved Reflector.10.7 Radiation Patterns of Reflector Antennas: The Aperture Field Method.10.8 Radiation Patterns of Reflector Antennas: The Current Distribution Method.10.9 Dual Shaped Reflector Systems.10.10 Single Surface Dielectric Lenses.10.11 Stepped Lenses.10.12 Surface Mismatch, Frequency Sensitivity, and Dielectric Loss for Lens Antennas.10.13 The Far Field of a Dielectric Lens Antenna.10.14 The Design of a Shaped Cylindrical Lens.10.15 Artificial Dielectrics: Discs and Strips.10.16 Artificial Dielectrics: Metal Plate (Constrained) Lenses.10.17 The Luneburg Lens.APPENDICES.A. Reduction of the Vector Green's Formula for E.B. The Wave Equations for A and D.C. Derivation of the Chebyshev Polynomials.D. A General Expansion of cosm v.E. Approximation to the Magnetic Vector Potential Function for Slender Dipoles.F. Diffraction by Plane Conducting Screens: Babinet's Principle.G. The Far-Field in Cylindrical Coordinates.H. The Utility of a Csc2 θ Pattern.Index.