Forum for Electromagnetic Research Methods and Application Technologies (FERMAT) Beam-shaping Technology Based on Generalized Laws of Refraction and Reflection Pengfei Zhang 1* , Raj Mittra 2, 3 and and Shuxi Gong 1 1 Collaborative Innovation Center of Inf. Sensing & Understanding, Xidian University, Xi’an Shaanxi, 710071, China 2 EMC Lab, University of Central Florida, Orlando, FL 32816 USA 3 King Abdulaziz University, Jeddah 22254, Saudi Arabia *Email: [email protected]Abstract: The generalized Snell’ law is developed and modified for curved surface, and also the generalized GO. Based on which, we present a new beamshaping technology using the flat lens consists of phase shift structure (PSS), which can reshape the primary beam to that with arbitrary desired shape. The design procedure of the beamshaping flat lens (BSFL) is discussed in detail. Several examples are given to verify the method. Moreover, some potential applications are proposed. Keywords: Beam shaping; Generalized Laws of Reflection and Refraction; Flat Lens. References: [1] Nanfang Yu, Patrice Genevet, Mikhail A. Kats etc. Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction, SCIENCE 2011,224(6054):333-337. [2] N Yu , F Capasso. Flat optics with designer metasurfaces , Nature Materials, 2014, 13(2):139-50. [3] N. Gagnon, A. Petosa and D.A. McNamara, "Thin Microwave Phase-Shifting Surface (PSS) Lens Antenna Made of Square Elements," IET Electronics Letters, vol. 46, no. 5, March, p.327-329, 2010 [4] H. Ling, R. C. Chow, and S. W. Lee, “Shooting and bouncing rays: Calculating the RCS of an arbitrarily shaped cavity,” IEEE Trans. Antennas Propag., vol. 37, no. 2, pp. 194-205, 1989.
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Forum for Electromagnetic Research Methods and Application Technologies (FERMAT)
Beam-shaping Technology Based on Generalized Laws of Refraction and
Reflection
Pengfei Zhang 1*, Raj Mittra2, 3 and and Shuxi Gong1 1 Collaborative Innovation Center of Inf. Sensing & Understanding,
Xidian University, Xi’an Shaanxi, 710071, China 2EMC Lab, University of Central Florida, Orlando, FL 32816 USA
3King Abdulaziz University, Jeddah 22254, Saudi Arabia *Email: [email protected]
Abstract: The generalized Snell’ law is developed and modified for curved surface, and
also the generalized GO. Based on which, we present a new beamshaping technology
using the flat lens consists of phase shift structure (PSS), which can reshape the primary
beam to that with arbitrary desired shape. The design procedure of the beamshaping flat
lens (BSFL) is discussed in detail. Several examples are given to verify the method.
Moreover, some potential applications are proposed.
Keywords: Beam shaping; Generalized Laws of Reflection and Refraction; Flat Lens.
References: [1] Nanfang Yu, Patrice Genevet, Mikhail A. Kats etc. Light Propagation with Phase
Discontinuities: Generalized Laws of Reflection and Refraction, SCIENCE 2011,224(6054):333-337.
[2] N Yu , F Capasso. Flat optics with designer metasurfaces , Nature Materials, 2014, 13(2):139-50.
[3] N. Gagnon, A. Petosa and D.A. McNamara, "Thin Microwave Phase-Shifting Surface (PSS) Lens Antenna Made of Square Elements," IET Electronics Letters, vol. 46, no. 5, March, p.327-329, 2010
[4] H. Ling, R. C. Chow, and S. W. Lee, “Shooting and bouncing rays: Calculating the RCS of an arbitrarily shaped cavity,” IEEE Trans. Antennas Propag., vol. 37, no. 2, pp. 194-205, 1989.
ZHANG Pengfei was born in 1979 in Shanxi China. He received B.S. degree, M.S. degree, and Ph.D. degree in Electromagnetic field and Microwave Technology from Xidian University, in 2001, 2006, and 2008, respectively. In 2007, he joined the National Laboratory of Science and Technology on Antennas and Microwaves, and worked as an associate professor in this lab from 2009. This work was partly carried out when Penfei Zhang was at the University of Central Florida as a Chinese Scholarship Council (CSC) Scholar on leave from National Key Laboratory of antenna and Microwave Technology. His research and development interests include the design of lens antenna, prediction and
control of Radar cross section (RCS), the design of water antennas, electromagnetic analysis and electromagnetic calculation. He is the author of over 20 referred journal and conference papers on these topics.
Shu-Xi Gong received the B.S. and M.S. degrees from Xidian University, Xi’an, China, in 1982 and 1984, respectively, and the Ph.D. degree from Xi’an Jiao Tong University, Xi’an, in 1988. He is currently a full Professor and Director of the National Key Laboratory of Science and Technology on Antennas and Microwaves. His research interests include antenna theory and technology, prediction and control of antenna RCS, and RCS calculation of complex targets. He has authored or coauthored over 200 refereed journal papers. He has also authored Principles of Generalized Eigen function
Expansions in Electromagnetic Theory (Xi’an: Xidian Univ. Press, 2010), Prediction and Reduction of Antenna Radar Cross Section (Xi’an: Xidian Univ. Press, 2010), and Antennas for Mobile Communication Systems (Beijing: Electronics Industry Press, 2011). Dr. Gong is a Senior Member of Chinese Institute of Electronics (CIE) and Vice Chairman of the Antenna Society of CIE. He is an Editorial Board Member of Chinese Journal of Xidian University and Journal of Microwaves. He was a recipient of the Science and Technology Advancement Award of Shaanxi Province, the Science and Technology Advancement Award of the Ministry of Information Industry of China, the Yilida Best Paper Award of Chinese Journal of Radio Sicence, the Outstanding Young Scholar Award of the Ministry of Mechanical Electronics of China, and the Excellent Young Backbone Teacher Award of the National Education Committee of China.
Raj Mittra is a Professor in the Department of Electrical Engineering & Computer Science department of the University of Central Florida in Orlando, FL., where he is the Director of the Electromagnetic Communication Laboratory. Prior to joining the University of Central Florida, he worked at Penn State as a Professor in the Electrical and Computer Engineering from 1996 through June, 2015. He was a Professor in the Electrical and
Computer Engineering at the University of Illinois in Urbana Champaign from 1957 through 1996, when he moved to the Penn State University. Currently, he also holds the position of Hi-Ci Professor at King Abdulaziz University in Saudi Arabia, He is a Life Fellow of the IEEE, a Past-President of AP-S, and he has served as the Editor of the Transactions of the Antennas and Propagation Society. He won the Guggenheim Fellowship Award in 1965, the IEEE Centennial Medal in 1984, and the IEEE Millennium medal in 2000. Other honors include the IEEE/AP-S Distinguished Achievement Award in 2002, the Chen-To Tai Education Award in 2004 and the IEEE Electromagnetics Award in 2006, and the IEEE James H. Mulligan Award in 2011. Recently he founded the e-Journal FERMAT (www.e-fermat.org) and has been serving as the co-editor-in-chief of the same. Dr. Mittra is a Principal Scientist and President of RM Associates, a consulting company founded in 1980, which provides services to industrial and governmental organizations, both in the U.S. and abroad.
*This use of this work is restricted solely for academic purposes. The author of this work owns the copyright and no reproduction in any form is permitted without written permission by the author.*