In this post, we will see the book *Method Of Edge Waves In The Physical Theory Of Diffraction* by P. Ya. Ufimtsev.

# About the book

The book is a monograph written as a result of research by the author. The diffraction of plane electromagnetic waves by ideally conducting bodies, the surface of which have discontinuities, is investigated in the book. The linear dimensions of the bodies are assumed to be large in comparison with the wavelength. The method developed in the book takes into account the perturbation of the field in the vicinity of the surface discontinuity and allows one to substantially refine the approximations of geometric and physical optics. Expressions are found for the fringing field in the distant zone. A numerical calculation is performed of the scattering characteristics, and a comparison is made with the results of rigorous theory and with experiments. The book is intended for physicists and radio engineers who are interested in diffraction phenomena, and also for students of advanced courses and aspirants who are specializing in antennas and the propagation of radio waves.

The book was translated from Russian and was published in 1962 by Foreign Technology Division of USA.

Credits to original uploader.

You can get the book here.

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# Contents

FOREWORD

INTRODUCTION

## CHAPTER I. DIFFRACTION BY A WEDGE 1

§ 1. The Rigorous Solution 1

§ 2. Asymptotic Expressions 12

§ 3. The Physical Optics Approach 18

§ 4. The Field Radiated by the Nonuniform part of the Current 26

§ 5. The Oblique Incidence of a Plane Wave on a Wedge 32

§ 6. Diffraction by a Strip 35

## CHAPTER II. DIFFRACTION BY A DISK 43

§ 7. The Physical Optics Approach 43

§ 8. The Field from the Uniform Part of the Current 48

§ 9. The Total Field Being Scattered by a Disk with Normal Irradiation 52

§ 10. The Physical Optics Approach 54

§ 11. The Field Radiated the Nonuniform Part of the Current 57

§ 12. The Scattering Characteristics: with an Arbitrary Irradiation66

## CHAPTER III. DIFFRACTION BY A FINITE LENGTH CYLINDER 73

§ 13. The Physical Optics Approach 74

§ 14. The Field Created by the Nonuniform Part of the Current 80

§ 15. The Total Fringing Field 83

## CHAPTER IV. DIFFRACTION OF A PLANE WAVE INCIDENT ALONG THE SYMMETRY AXIS OF FINITE BODIES OF ROTATION 90

§ 16. The Field Created by the Nonuniform Part of the Current 90

§ 17. A Cone 95

§ 18. A Paraboloid of Rotation 103

§ 19. A Spherical Surface 108

## CHAPTER V. SECONDARY DIFFRACTION 114

§ 20. Secondary Diffraction by a Strip. Formulation of the Problem 115

§ 21. Secondary Diffraction by a Strip (H-Polarization) 118

§ 22. Secondary Diffraction by a Strip (E-Polarization) 126

§ 23. The Scattering Characteristics of a Plane Wave by a Strip 129

§ 24. Secondary Diffraction by a Disk 138

§ 25. A Brief Review of the Literature 154

## CHAPTER VI. CERTAIN PHENOMENA CONNECTED WITH THE NONUNIFORM PART OF THE SURFACE CURRENT 163

§ 26. Measurement of the Field Radiated by the Nonuniform part of the Current 163

§ 27. Reflected Wave Depolarization 170

## CHAPTER VII. DIFFRACTION BY A THIN CYLINDRICAL CONDUCTOR 175

§ 28. Current Waves in an Ideally Conducting Vibrator 176

§ 29. Radiation of a Transmitting Vibrator 183

§ 30. Primary and Secondary Diffraction by a Passive Vibrator 185

§ 31. Multiple Diffraction of Edge Waves 193

§ 32. Total Fringing Field 196

§ 33. A Vibrator Which is Short in Comparison with the Wavelength (a Passive Dipole) 204

§ 34. The Results of Numerical Calculations 208

CONCLUSION 217

REFERENCES 221