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Research Article

Analytical analysis of inhomogeneous and anisotropic metamaterial cylindrical waveguides using transformation matrix method

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Pages 53-68 | Received 06 Jan 2022, Accepted 22 Jul 2022, Published online: 19 Aug 2022
 

Abstract

Several applications of a cylindrical waveguide filled with inhomogeneous materials have been demonstrated. Analytical solutions for modes, an inhomogeneous cylindrical waveguide, are available only for a few material parameters and those are also mostly approximations. We have obtained exact analytical solutions for cylindrical waveguides filled with different inhomogeneous and anisotropic material parameters. Different sets of material parameters are obtained using the geometric transformation method. The analytical and numerical modal field distributions, the value of cutoff frequencies and effective mode indices for different propagating modes are well matched to each other. The inhomogeneity can be used to miniaturize the radial dimensions of the waveguide. This is highly desirable for many applications like sensing, near-field coupling and magnetic resonance imaging (MRI).

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No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Abhinav Bhardwaj

Abhinav Bhardwaj received the B.Tech. and M.Tech. degrees in electronics and communication engineering from the PDPM Indian Institute of Information Technology, Design and Manufacturing, (IIITDM) Jabalpur, India and Ph.D. degree in Electrical Engineering at the Indian Institute of Technology (IIT) Kanpur, Kanpur, India. He was selected for National Post Doctoral Fellowship by Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India in 2021 and worked as a Visiting fellow at Tata Institute of Fundamental Research (TIFR), Mumbai. He is presently working at Intel Technology India. He has authored 25 international journal papers. His current research interests include metamaterial and photonics. He was selected for Japan-East Asia Network of Exchange for Students and Youths (JENESYS) program and carried out an internship at the University of Tokyo with Prof. Kazuo Kuroda. He was Chairman of IEEE Microwave Theory and Techniques Society, Student Branch Chapter, (MTT-S, SBC) IIT Kanpur in 2018-2019.

Dheeraj Pratap

Dheeraj Pratap received his MSc degree in physics from IIT Delhi, New Delhi, India, in 2008 and his Ph.D. from the Department of Physics, IIT Kanpur, India, in 2016. He was a postdoctoral researcher at Université de Reims Champagne-Ardenne, Reims, France, from May 2016 to November 2018. Later for a short while, he was a Project Scientist at the IIT Kanpur, India, and Assistant Professor (tenure) at the VJTI Mumbai, India. Since December 2019, he is working as a CSIR-Nehru Science Postdoctoral Fellow at the CSIR-CSIO Chandigarh, India. His research interests include metamaterials, plasmonics, nanophotonics, and nanoscale heat transfer.

Kumar Vaibhav Srivastava

Kumar Vaibhav Srivastava received the B.Tech degree in Electronics Engineering from Kamla Nehru Institute of Technology, Sultanpur, India, in 2002, and the M. Tech and PhD degrees in Electrical Engineering from Indian Institute of Technology (IIT) Kanpur, Kanpur, India, in 2004 and 2008, respectively. He was with the GE Global Research Centre, Bangalore, India, for one year in 2008. In 2009, he joined as an Assistant Professor with the Department of Electrical Engineering, IIT Kanpur, where he is currently serving as a Professor since November 2018. His extensive research interests are microwave antennas, metamaterials, metamaterial absorbers and cloaking, FDTD technique, and MIMO Antennas. He has published more than 125 international journal papers, two international patents and 150 conference papers in the last fifteen years. Dr. Srivastava received various national and best paper awards. He was Chairperson of IEEE UP Section in 2018 and founding Chair of IEEE Antenna and Propagation Society Chapter in UP Section.

S. Anantha Ramakrishna

S. Anantha Ramakrishna received the M.Sc. (Integrated 5 years) in Physics, from the Indian Institute of Technology Kanpur in 1995, and the Ph.D. degree from Raman Research Institute, Bangalore, India, in 2001. After working as a Post-doctoral Researcher with Sir John Pendry at Imperial College London, he joined the IIT Kanpur as an Assistant Professor in 2003, where he is presently a Professor at IIT Kanpur and director of the CSIR-Central Scientific Instruments Organisation (CSIO), a premier national research laboratory. He is He has co-authored more than 150 peer-reviewed papers in journals and a research monograph entitled Physics and Applications of Negative Refractive Index Materials. His research interests include metamaterials and plasmonic nanostuctures. He has been awarded the S.S. Bhatnagar prize in 2016 by CSIR, India, the Swarna Jayanti Fellowship by DST India in 2012 and the INSA Youngs Scientist Medal in 2007 for his work.

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