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Frequency selective surfaces integrated with phased array antennas PDF

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Frequency selective surfaces integrated with phased array antennas Citation for published version (APA): Monni, S. (2005). Frequency selective surfaces integrated with phased array antennas. [Phd Thesis 1 (Research TU/e / Graduation TU/e), Electrical Engineering]. Technische Universiteit Eindhoven. https://doi.org/10.6100/IR592234 DOI: 10.6100/IR592234 Document status and date: Published: 01/01/2005 Document Version: Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers) Please check the document version of this publication: • A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at: [email protected] providing details and we will investigate your claim. Download date: 22. Jan. 2023 Frequency Selective Surfaces Integrated with Phased Array Antennas Analysis and Design using Multimode Equivalent Networks Frequency Selective Surfaces Integrated with Phased Array Antennas Analysis and Design using Multimode Equivalent Networks PROEFSCHRIFT ter verkrijging van de graad van doctor aan de Technische Universiteit Eindhoven, op gezag van de Rector Magni(cid:12)cus, prof.dr.ir. C. J. van Duijn, voor een commissie aangewezen door het College voor Promoties in het openbaar te verdedigen op maandag 27 juni 2005 om 16.00 uur door Stefania Monni geboren te Cagliari, Itali(cid:127)e Dit proefschrift is goedgekeurd door de promotor: prof.dr. A.G. Tijhuis Copromotor: dr. G. Gerini CIP-DATA LIBRARY TECHNISCHE UNIVERSITEIT EINDHOVEN Monni, Stefania Frequency selective surfaces integrated with phased array antennas : analysis and design using multimode equivalent networks / by Stefania Monni. - Eindhoven : Technische Universiteit Eindhoven, 2005. Proefschrift. - ISBN 90-386-1713-5 NUR 959 Trefw.: frequentie(cid:12)lters / fasegestuurde antennestelsels / microgolfantenne / golfgeleiders / elektromagnetisme ; numerieke methoden. Subject headings: frequency selective surfaces / antenna phased arrays / microwave antenna arrays / waveguides / computational electromagnetics. Copyright c 2005 by S. Monni, TNO, The Hague, The Netherlands (cid:13) Cover design: S. Monni, implemented by P. Verspaget (Gra(cid:12)sche Vormgeving) Press: Universiteitsdrukkerij, TUE The work presented in this thesis has been performed at TNO and (cid:12)nanced by TNO with support of the Dutch Ministry of Defense. To my parents To Michel i Abbreviations BCMM Boundary Contour Mode Matching EBG Electronic Band Gap EFIE Electric Field Integral Equation EMC Electromagnetic Compatibility EMI Electromagnetic Interference FSS Frequency Selective Surface FT Fourier Transform GAM Generalized Admittance Matrix GF Green’s Function GIM Generalized Impedance Matrix GSM Generalized Scattering Matrix GTM Generalized Transmission Matrix HPB Half Power Beamwidth IE Integral Equation IEMENIntegral Equation’s method for the derivation of Multimode Equivalent Networks IPD Insertion Phase Delay ITD Integrated Topside Design MAC Microwave Anechoic Chamber MEN Multimode Equivalent Network MFIE Magnetic Field Integral Equation MFR Multi-Frequency Radar MoM Method of Moment PEC Perfect Electric Conductor PSWW Phase Shift Wall Waveguide PWL Piece Wise Linear PWS Piece Wise Sinusoidal RAM Radar Absorbing Material ii Abbreviations RCS Radar Cross Section RNLN Royal Netherlands Navy RX Receiving Antenna TE Transverse Electric TEM Transverse ElectroMagnetic TFW Truncated Floquet Waves TL Transmission Line TM Transverse Magnetic TX Transmitting Antenna WAIM Wide Angle Impedance Matching iii Contents Abbreviations i 1 Introduction 1 1.1 Frequency Selective Surfaces: historical context . . . . . . . . . . . . . . . 3 1.1.1 Applications of frequency selective surfaces . . . . . . . . . . . . . . 5 1.2 Analysis techniques for FSS’s . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3 Design techniques for FSS’s . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.4 Outline of the thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 Multimode Equivalent Networks: the IEMEN method 17 2.1 Multimode equivalent networks for waveguides . . . . . . . . . . . . . . . . 19 2.1.1 The microwave network formalism . . . . . . . . . . . . . . . . . . . 20 2.1.2 MEN of a waveguide junction . . . . . . . . . . . . . . . . . . . . . 26 2.1.3 MEN of a rectangular waveguide section . . . . . . . . . . . . . . . 36 2.1.4 MEN of a cascade of uniform waveguides . . . . . . . . . . . . . . . 37 2.2 Multimode equivalent network formulation for in(cid:12)nite periodic arrays . . . 40 2.2.1 MEN of the junction waveguide-PSWW . . . . . . . . . . . . . . . 41 2.2.2 Numerical results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 2.3 Thick FSS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 2.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3 IEMEN approach for aperture- and patch-based FSS’s 57 3.1 Theoretical basis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.2 Patch-based FSS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.2.1 Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.2.2 Multimode Equivalent Network . . . . . . . . . . . . . . . . . . . . 63 3.3 Aperture-based FSS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 3.3.1 Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

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Figure 1.1: Application of an FSS to limit the Radar Cross Section of an antenna: (a) FSS mounted on a ship mast, a synthetic aperture radar that has to transmit for a single linear polarization and to receive by stretchable wires, and since the calibration plate and the FSS plate had different w
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