"I am pleased to see that the IEEE Press and OUP have secured the rights to republish this excellent monograph a long–cherished exposition on the angular spectrum concept."
James R. Wait
The purpose of this book is to explain how general electromagnetic fields can be represented by the superposition of plane waves traveling in diverse directions, and to illustrate the way in which this plane wave spectrum representation can be put to good use in treating various characteristic problems belonging to the classical theories of radiation, diffraction and propagation. The book offers a largely unified theory of a range of problems, solutions to all of which are obtained in forms at least patently capable of yielding numerical results by straightforward means. The reader is assumed to be competent at integration in the complex plane, but otherwise the discussion is virtually self–contained. The aim is to furnish the student of electromagnetic theory with a useful technical tool and a comparatively compact account of some interesting aspects of his discipline. The contents are presented in two parts. The first, under the heading of Theory, covers Preliminaries, Plane wave representations; and Supplementary theory. The second, with the heading Application, deals with Diffraction by a plane screen; Propagation over a uniform plane surface; Propagation over a two–part plane surface; The field of a moving point charge; and Sources of anisotropic media.
Also in the series
Field Computation by Moment Method An IEEE/OUP classic reissue R. F. Harrington, Syracuse University 1995, Hardcover, 240 pp.
Waves and Fields in Inhomogeneous Media An IEEE/OUP classic reissue Weng Cho Chew, University of Illinois at Urbana–Champaign 1995, Hardcover, 632 pp.
Methods in Electromagnetic Wave Propagation Second Edition D.S. Jones, University of Dundee 1994, Hardcover, 686 pp.
About the series
Formerly the IEEE Press Series on Electromagnetic Waves, this new joint series between IEEE Press and Oxford University Press offers even better coverage of the field with new titles as well as reprintings and revisions of recognized classics that maintain long–term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.
1.2. Maxwell′s Equations.
1.3. Fourier Integral Analysis.
II. PLANE WAVE REPRESENTATION.
2.1. Plane Waves.
2.1.1. Homogeneous Plane Waves in Vacuum.
2.1.2. Inhomogeneous Plane Waves in Vacuum.
2.1.3. Plane Waves in an Isotropic Medium.
2.1.4. Plane Waves in an Anisotropic Medium.
2.1.5. An Example.
2.2. Angular Spectrum of Plane Waves.
2.2.1. Plane Surface Currents.
2.2.2. Angular Spectrum in Vacuum: Two–dimensional Case.
2.2.3. Simple Examples: Line–sources.
2.2.4. Angular Spectrum in Vacuum: Three–dimensional Case.
2.2.5. Simple Example: Dipole Source.
2.2.6. Angular Spectrum in an Anisotropic Medium.
III. SUPPLEMENTARY THEORY.
3.1. Radiated Power.
3.1.1. The Two–dimensional Case.
3.1.2. The Three–dimensional Case.
3.2. The Radiation Field.
3.2.1. Heuristic Approach: Stationary Phase.
3.2.2. Rigorous Approach: Steepest Descents.
3.3. Angular Spectrum with Simple Pole.
3.3.1. The Complex Fresnel Integral.
3.3.2. Reduction to Fresnel Integral.
3.3.3. Steepest Descents with Saddle–point Near a Pole.
3.4. Relation to other Representations.
3.5. Gain and Supergain.
PART II. APPLICATION.
IV. DIFFRACTION BY A PLANE SCREEN.
4.1. Black Screen.
4.1.1. Formulation of the Problem.
4.1.2. The Half–plane.
4.1.3. The Slit.
4.2. Perfectly Conducting Screen.
4.2.1. Babinet′s Principle and the Cross–section Theorem.
4.2.2. The Half–plane.
4.2.3. The Wide Slit.
4.2.4. The Narrow Slit.
V. PROPAGATION OVER A UNIFORM PLANE SURFACE.
5.1. Radio Propagation over a Homogeneous Earth.
5.1.1. Reflection Coefficients for Plane Wave Incidence.
5.1.2. Solution for a Localized Source: J5–polarization.
5.1.3. Solution for a Localized Source: jET–polarization.
5.1.4. Special Cases.
5.2. Surface Waves.
5.2.1. Reactive Surfaces.
5.2.2. Generation of a Surface Wave.
5.2.3. Launching Efficiency.
VI. PROPAGATION OVER A TWO–PART PLANE SURFACE.
6.1. Perfectly Conducting Half–plane on Surface of Semi–infinite Homogeneous Medium.
6.1.1. Genesis and Nature of the Problem.
6.1.2. Solution for Incident Plane Wave: If–polarization.
6.1.3. Solution for Line–source: if–polarization.
6.1.4. Reduction of the Solution.
6.1.5. Special Cases.
6.2. Two–part Impedance Surface.
6.2.1. Solution for Incident Plane Wave: –polarization.
6.2.2. The Split of sin ft + / sinhy.
6.2.3. Surface Wave Reflection and Transmission.
VII. THE FIELD OF A MOVING POINT CHARGE.
7.1. Motion in a Plane.
7.1.1. General Formulation.
7.1.2. Periodic Motion: Uniform Circular Motion.
7.2. Uniform Rectilinear Motion.
7.2.1. Motion in a Vacuum.
7.2.2. Motion in a Dielectric: Cerenkov Radiation.
VIIL SOURCES IN ANISOTROPIC MEDIA.
8.1. Uniaxial Medium.
8.1.1. The Dielectric Tensor.
8.1.2. Surface Currents in Plane Normal to Axis.
8.1.3. Dipole Normal to Axis.
8.1.4. Surface Currents in Plane Parallel to Axis.
8.1.5. Dipole Parallel to Axis.
8.1.6. Point Charge in Uniform Motion Parallel to Axis.
8.1.7. TE and TM Resolution.
8.2. Magneto–ionic Medium.
8.2.1. Surface Currents in Plane Normal to Magnetostatic Field.
8.2.2. Surface Currents in Plane Parallel to Magnetostatic Held.
8.2.3. Point Charge in Uniform Motion Parallel to Magnetostatic Field.