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Solution to the Broadside Problem and Symmetry Properties in Periodic Leaky-Wave Antennas PDF

188 Pages·2016·4.28 MB·English
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Simon Otto Solution to the Broadside Problem and Symmetry Properties of Periodic Leaky-Wave Antennas Von der Fakultät für Ingenieurwissenschaften der Abteilung Elektrotechnik und Informationstechnik der Universität Duisburg-Essen zur Erlangung des akademischen Grades Doktor der Ingenieurwissenschaft genehmigte Dissertation von Simon Otto aus Oberhausen Erster Gutachter: Professor Dr.-Ing. Klaus Solbach Zweiter Gutachter: Professor Christophe Caloz, Eng., Ph.D. Tag der mündlichen Prüfung: 18. April 2016 Solution to the Broadside Problem and Symmetry Properties of Periodic Leaky-Wave Antennas Von der Fakultät für Ingenieurwissenschaften der Abteilung Elektrotechnik und Informationstechnik der Universität Duisburg-Essen zur Erlangung des akademischen Grades Doktor der Ingenieurwissenschaft genehmigte Dissertation von Dipl.-Ing. Simon Otto, geboren am 13. Mai 1978 in Oberhausen Erster Gutachter: Professor Dr.-Ing. Klaus Solbach Fachgebiet Hochfrequenztechnik (HFT) Universität Duisburg-Essen, Deutschland Zweiter Gutachter: Professor Christophe Caloz, Eng., Ph.D. Department of Electrical Engineering Polytechnique Montréal, Canada Einreichung vorgelegte Dissertation am: 16. Oktober 2015 Mündliche Prüfung am: 18. April 2016 Veröffentlichung genehmigte Dissertation am: 18. Juli 2016 Vorgelete Version: Kompiliertam15.10.2015-20:56:11,GITCommitvom: 2015-10-1520:55:57+0200,GITHash: f2fd2a6 Genehmigte Version: Kompiliert am 7.7.2016 - 14:14:21, GIT Commit vom: 2016-07-07 14:14:07 +0200, GIT Hash: 5298fe2 Genehmigte Version (Web): Kompiliertam16.7.2016 -17:13:08,GITCommitvom: 2016-07-1617:12:54+0200,GITHash: 679048a For My Loved Ones Rina Sophie & Joshua Acknowledgments The road to completing this dissertation and making my dream come true has been a long one. Many people have supported me with their individual skills and abilities, helping me to reach the end of this arduous but rewarding project. Pursuing the Ph.D. part-time while working half-time as a researcher at the University of Duisburg-Essen and the other half as a project manager at IMST GmbH, I can only call myself lucky to have had such wonderful colleagues from both institutions. This doctoral thesis is the culmination of a long research collaboration between Professor ChristopheCalozatPolytechniqueMontréalinCanadaandmeduringmydoctoralstudies at the University of Duisburg-Essen in Germany. My sincere thanks to Professor Caloz for keeping up our long-distance research collaboration all these years. This collaboration has called for countless video chat sessions about papers or to debate the latest research results. Christophe, your fantastic interest in this work motivated me tremendously. My thanks also to Professor Klaus Solbach, University of Duisburg-Essen, for employing me as a researcher in his department and giving me his full support. Professor Solbach gave me the freedom to find my own research path even as he kept his office door open whenever I needed his guidance. This freedom is something for which I will be forever grateful. I am truly appreciative of my friends and colleagues at the Hochfrequenztechnik depart- ment(HFT)attheUniversityofDuisburg-Essen. Forsomanyyears,thepositiveinfluence of Rolf Küppers and Paul Lehmann ensured that we had a warm, companionable work environment characterized by a perfect team spirit. Each, with his individually great character and personality, showed wonderful kindness toward my colleagues and me, even in our lives beyond the university. Rolf, we were all devastated when you suddenly left this world—and us. We miss you very much! Let me deeply thank you for all you have done for me. Let me also express my gratitude to my long-time research friend Andreas Rennings. Andreas, you made the combination of research and fun perfectly logical—a rare feat. Thank you so much for all we have accomplished together. I would like to thank my former bachelor’s and master’s students for choosing me as their supervisor. Many of you have contributed a lot to this work. In particular, I mention vii Zhichao Chen and Amar Al-Bassam. When we first knew each other, you both were still doing your undergraduate studies, and now you are finalizing your own Ph.Ds. It was a real pleasure to work with you and to see you progress in academia. During my own Ph.D. studies our relationship moved from supervision to friendship, a transformation that has been rewarding and enjoyable. Thank you so much. TomyfriendsandcolleaguesintheAntenna&EMModelingDepartmentatIMSTGmbH, I say thank you, because working with you has always been pleasant and respectful. During my challenging part-time pursuit of the Ph.D., you always made me feel like an integral part of the team, even though my presence was naturally limited. I think this inclusion should not be taken for granted. It is rather the result of many kind coworkers organized in a good team which I am thankful to be a part of. A very special person on this team is Andreas Lauer, to whom I express my particular gratitude. You have an extremely bright mind and you are always up for lively scientific discussions, though I must admit I had some difficulties keeping up with you here and there. Thank you very much for coaching me in hard times, when the end of the road was still far from sight. Ismael Nistal, my former officemate at IMST, thank you for putting up with sharing an office with me for so many years before you returned to Spain, your home country. I really appreciate our great office atmosphere and admire your discipline. Flying in from Spain to attend my dissertation defense was the perfect surprise and an honor for me, my friend! Finalizing a manuscript can be a demanding and sometimes even painful task, and it’s always helpful to have a second pair of eyes. Here, I got additional support from my IMST colleagues Jordi Balcells-Ventura, Tassilo Gernandt, and Jürgen Kunisch—my second, third, and fourth pairs of eyes—who helped me to eliminate errors in various parts of the manuscript, thus improving its final form. Thank you all for giving me your time. My reaching the end of this Ph.D. road would not have been possible without my family and friends backing me up. On countless occasions, I took a pass on social gatherings with friends to focus on my work. Yet they were always understanding and never gave up on me socially. Thanks, guys—I am back now! What’s more, my brother-in-law, Kyle Hollingsworth, a native English speaker and a lawyer, offered the ideal combination of knowledge and precision to help me to shape up my English wording. Thanks so much, Kyle, for your feedback. At this point, I must thank my best friend Robin Aly, who truly knows me better than I do myself. Knowing me for so many years, and going through your own Ph.D. studies, you helped me to overcome those inevitably frustrating moments in my dissertation writing period. Your mentoring skills are amazing, and I really appreciate our close friendship. Last but not least, I want to thank the most important persons in my life, my wife Rina and our kids, for their encouragement, patience, and belief in my ability to finalize this project. Without you, there would be no meaning to any of this. viii

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4.4 Fullwave Optimization based on Eigenmode Solutions in the Complex Fre- quency Domain . The broadside radiation problem has plagued periodic leaky-wave antennas. (LWAs) for more than four [106] J. D. Jackson, Classical Electrodynamics, third, Ed. Wiley, 1999. [107] M. Zedler and G.
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