## Frequency Selective Surfaces: Theory and Design"...Ben has been the world-wide guru of this technology, providing support to applications of all types. His genius lies in handling the extremely complex mathematics, while at the same time seeing the practical matters involved in applying the results. As this book clearly shows, Ben is able to relate to novices interested in using frequency selective surfaces and to explain technical details in an understandable way, liberally spiced with his special brand of humor... Ben Munk has written a book that represents the epitome of practical understanding of Frequency Selective Surfaces. He deserves all honors that might befall him for this achievement." -William F. Bahret. Mr. W. Bahret was with the United States Air Force but is now retired. From the early 50s he sponsored numerous projects concerning Radar Cross Section of airborne platforms in particular antennas and absorbers. Under his leadership grew many of the concepts used extensively today, as for example the metallic radome. In fact, he is by many considered to be the father of stealth technology. "This book compiles under one cover most of Munk's research over the past three decades. It is woven with the physical insight that he has gained and further developed as his career has grown. Ben uses mathematics to whatever extent is needed, and only as needed. This material is written so that it should be useful to engineers with a background in electromagnetics. I strongly recommend this book to any engineer with any interest in phased arrays and/or frequency selective surfaces. The physical insight that may be gained from this book will enhance their ability to treat additional array problems of their own." -Leon Peters, Jr. Professor Leon Peters, Jr., was a professor at the Ohio State University but is now retired. From the early sixties he worked on, among many other things, RCS problems involving antennas and absorbers. This book presents the complete derivation of the Periodic Method of Moments, which enables the reader to calculate quickly and efficiently the transmission and reflection properties of multi-layered Frequency Selective Surfaces comprised of either wire and/or slot elements of arbitrary shape and located in a stratified medium. However, it also gives the reader the tools to analyze multi-layered FSS's leading to specific designs of the very important Hybrid Radome, which is characterized by constant band width with angle of incidence and polarization. Further, it investigates in great detail bandstop filters with large as well as narrow bandwidth (dichroic surfaces). It also discusses for the first time, lossy elements used in producing Circuit Analog absorbers. Finally, the last chapter deals with power breakdown of FSS's when exposed to pulsed signals with high peak power. The approach followed by most other presentations simply consists of expanding the fields around the FSS, matching the boundary conditions and writing a computer program. While this enables the user to obtain calculated results, it gives very little physical insight and no help in how to design actual multi-layered FSS's. In contrast, the approach used in this title analyzes all curves of desired shapes. In particular, it discusses in great detail how to produce radomes made of FSS's located in a stratified medium (Hybrid Radomes), with constant band width for all angles of incidence and polarizations. Numerous examples are given of great practical interest. More specifically, Chapter 7 deals with the theory and design of bandpass radomes with constant bandwidth and flat tops. Examples are given for mono-, bi- and tri-planar designs. Chapter 8 deals with bandstop filters with broad as well as narrow bandwidth. Chapter 9 deals with multi-layered FSS of lossy elements, namely the so-called Circuit Analog Absorbers, designed to yield outstanding absorption with more than a decade of bandwidth. Features material previously labeled as classified by the United States Air Force. |

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### Contents

1 General Overview | 1 |

2 Element Types A Comparison | 26 |

3 Evaluating Periodic Structures An Overview | 63 |

4 Spectral Expansion of One and TwoDimensional Periodic Structures | 79 |

5 Dipole Arrays in a Stratified Medium | 125 |

6 Slot Arrays in a Stratified Medium | 190 |

7 BandPass Filter Designs The Hybrid Radome | 227 |

8 BandStop and Dichroic Filter Designs | 279 |

11 Concluding Remarks and Future Trends | 360 |

Appendix A Bilinear Transformation | 365 |

Appendix B Evaluation of the Determinant DN | 377 |

Appendix C Fresnel Reflection and Transmission Coefficients | 381 |

Appendix D Effective Reflection and Transmission Coefficients for a Stratified Medium | 385 |

Appendix E Estimating the Resonant Frequency of a Single Periodic Surface The Concept Eeff | 393 |

Appendix F Extension to Arrays of Wide Flat Elements | 397 |

401 | |

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### Common terms and phrases

angle of incidence antenna band-pass band-stop ﬁlter bandwidth bilinear transformation Chapter current distribution deﬁned denoted dielectric constant dielectric slabs dipole array Dx and DZ E-ﬁeld E-plane electric equivalent circuit evanescent waves example external element ﬁeld strength FIGURE ﬁnally ﬁnd ﬁnite ﬁrst ﬂat four-legged loaded element free space grating Frequency GHz FSSs further gangbuster ground plane H-plane hybrid radome imaginary incident ﬁeld incident plane wave inﬁnite array interface intrinsic impedance located mode mutual admittance mutual impedance Note null obtain onset of grating orthogonal and parallel periodic structure periodic surfaces plane wave propagating reference element Reﬂection coefﬁcient curves reﬂection curves reﬂector resonant frequency Salisbury screen scan admittance Scan angle Section shown in Fig simply slot array Smith chart space grating lobes speciﬁcally stratiﬁed medium surface wave symmetric transmission coefﬁcient transmission curves typical vector vector potential voltage Width wire

### Popular passages

Page 401 - Synthesis of spatial filters with Chebyshev characteristics', IEEE Trans., AP-24, 1976, pp. 174-187 70 MONTGOMERY, CG (Ed.): 'Technique of microwave measurements'. McGraw-Hill, 1947 71 MUNK, BA, and BURRELL, GA: 'Plane-wave expansion for arrays of arbitrarily oriented piecewise linear elements and its application in determining the impedance of a single linear antenna in a lossy half-space', IEEE Trans., AP-27, 1979, pp.

Page v - This book would not have been possible had it not been for...

Page 402 - EK English, Electromagnetic Scattering from Infinite Periodic Arrays of Arbitrarily Oriented Dipole Elements Embedded in a General Stratified Medium, Ph.D.

Page 403 - MOMENT METHOD CALCULATION OF REFLECTION COEFFICIENT FOR WAVEGUIDE ELEMENTS IN A FINITE PLANAR PHASED ANTENNA ARRAY Ph.D Thesis AJ Fenn.

Page 402 - Mutual impedance of unequal length antennas in echelon.

Page 401 - BA Munk. GA Burrell. and TW Kornbau. "A General Theory of Periodic Surfaces in Stratified Dielectric Media.

Page 403 - Theory of mutual coupling among minimum-scattering antennas,

Page 402 - Scattering by a periodically apertured conducting screen,

Page 403 - Scattering properties and mutual coupling of antennas with prescribed radiation pattern,

Page 403 - AJ Fenn, GA Thiele, and BA Munk, "Moment Method Analysis of Finite Rectangular Waveguide Phased Arrays," IEEE Trans, on Antennas and Propagation, AP-30(4), 554-564, July 1982.