Analysis of ElectromagneticWave Propagation in Frequency Bands of Nonlinear Metamaterials

Authors

  • Nikolaos L. Tsitsas Department of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

Keywords:

Analysis of ElectromagneticWave Propagation in Frequency Bands of Nonlinear Metamaterials

Abstract

Electromagnetic wave propagation phenomena in nonlinear metamaterials are investigated for waves propagating either in the left-handed frequency band or in the frequency band gaps. In the left-handed band, we implement directly the reductive perturbation method to Faraday’s and Amp´ere’s laws and derive a second-and a thirdorder nonlinear Schr¨odinger (NLS) equation, describing solitons of moderate and ultra-short pulse widths, respectively. Then, we find necessary conditions and derive exact bright and dark soliton solutions of these equations. On the other hand, in the frequency band gaps with negative linear effective permittivity and positive permeability (where linear electromagnetic waves are evanescent), we derive two short-pulse equations (SPEs) for the high- and low-frequency band gaps. The structure of the SPEs solutions is discussed, and connections with the NLS soliton solutions are presented. Numerical simulations of the SPEs solutions are included and compared with those of the reduced wave equations. Directions towards the modelling of wave propagation in nonlinear chiral metamaterials are pointed out.

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Author Biography

Nikolaos L. Tsitsas, Department of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

Nikolaos L. Tsitsas was born
in Athens, Greece, in 1979. He
received the Diploma and Ph.D.
Degree in Electrical Engineer-
ing from the National Technical
University of Athens (NTUA) in
2002 and 2006 respectively, and
the M.Sc. Degree in Applied Mathematics from the
National and Kapodistrian University of Athens in
2005.
From 2008 to 2011, he was an Adjunct Lecturer
at the School of Applied Mathematical and Phys-
ical Sciences of the NTUA. From 2009 to 2011,
he was an Adjunct Lecturer at the Hellenic Army
Academy. Since 2012, he has been an Assistant
Professor at the Department of Informatics of the
Aristotle University of Thessaloniki. He is the
author or coauthor of 30 papers in scientific jour-
nals and 36 papers in conference proceedings. His
research interests include analytical and numerical
methods in direct and inverse wave scattering and
propagation theory as well as numerical solution
techniques of integral and partial differential equa-
tions.
Dr. Tsitsas is a member of the IEEE, the Optical
Society of America, the American Mathematical
Society, and the Technical Chamber of Greece.

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Published

2022-05-02

How to Cite

[1]
N. L. . Tsitsas, “Analysis of ElectromagneticWave Propagation in Frequency Bands of Nonlinear Metamaterials”, ACES Journal, vol. 27, no. 2, pp. 169–180, May 2022.

Issue

2012: Vol 27 Iss 2

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Articles