Time-reversal Symmetry in Antenna Theory

Here, I discuss some implications of the time-reversal invariance of lossless radiating systems. I highlight that time-reversal symmetry provides a rather intuitive explanation for the conditions of polarization and impedance matching of a receiving antenna. Furthermore, I describe a solution to generate the time-reversed electromagnetic field through the illumination of a matched receiving antenna with a Herglotz wave.

[1]  Sergei A. Tretyakov,et al.  Phase conjugation and perfect lensing , 2003 .

[3]  G. Lerosey,et al.  Theory of Electromagnetic Time-Reversal Mirrors , 2010, IEEE Transactions on Antennas and Propagation.

[4]  G. Lerosey,et al.  Focusing Beyond the Diffraction Limit with Far-Field Time Reversal , 2007, Science.

[5]  N. Zheludev,et al.  Electromagnetic wave analogue of an electronic diode , 2010, 1010.5830.

[6]  Andrea Alù,et al.  Broadband passive isolators based on coupled nonlinear resonances , 2018 .

[7]  R. J. Potton,et al.  Reciprocity in optics , 2004 .

[8]  G. Lerosey,et al.  Time reversal of electromagnetic waves. , 2004, Physical review letters.

[9]  Nader Engheta,et al.  All-passive nonreciprocal metastructure , 2015, Nature communications.

[10]  Christophe Caloz,et al.  What is Nonreciprocity , 2018, 1804.00235.

[11]  S. Tretyakov,et al.  Electromagnetic Nonreciprocity , 2018, Physical Review Applied.

[12]  J. Pendry,et al.  Time Reversal and Negative Refraction , 2008, Science.

[13]  M. Silveirinha.  Chern invariants for continuous media , 2015 .

[14]  M. Silveirinha,et al.  Asymmetric Transmission and Isolation in Nonlinear Devices: Why They Are Different , 2018, IEEE Antennas and Wireless Propagation Letters.

[15]  M. Fink.  Time reversed acoustics , 2001 .

[16]  M. Fink,et al.  Time-reversal of ultrasonic fields. III. Theory of the closed time-reversal cavity , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  J.B. Andersen,et al.  Absorption efficiency of receiving antennas , 2005, IEEE Transactions on Antennas and Propagation.

[18]  Modal expansions in dispersive material systems with application to quantum optics and topological photonics , 2017, 1712.04272.

[19]  H. Casimir,et al.  Reciprocity theorems and irreversible processes , 1963 .

[20]  M. Silveirinha.  Topological classification of Chern-type insulators by means of the photonic Green function , 2018, 1801.09908.

[21]  M Fink,et al.  Overcoming the diffraction limit in wave physics using a time-reversal mirror and a novel acoustic sink. , 2002, Physical review letters.

[22]  P·T·Dsymmetry-protected scattering anomaly in optics , 2016, 1610.00688.

[23]  J L Thomas,et al.  Breaking of time reversal invariance in nonlinear acoustics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Rodney G. Vaughan,et al.  Transmitting, receiving, and scattering properties of antennas , 2003 .