PT Metamaterials via Complex-Coordinate Transformation Optics
Giuseppe Castaldi, Silvio Savoia, Vincenzo Galdi, Andrea Alu', Nader, Engheta
TL;DR
This paper extends transformation optics to complex coordinates to design and analyze PT-symmetric metamaterials with balanced loss and gain, enabling systematic design and deeper physical understanding of complex wave phenomena.
Contribution
It introduces a novel complex-coordinate transformation framework for PT metamaterials, enhancing analytical modeling and physical insights beyond existing methods.
Findings
Successful application to complex-source-point radiation
Analysis of anisotropic transmission resonances
Demonstration of systematic design capabilities
Abstract
We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric metamaterials. We apply this general theory to complex-source-point radiation and anisotropic transmission resonances, illustrating the capability and potentials of our approach in terms of systematic design, analytical modeling and physical insights into complex-coordinate wave-objects and resonant states.
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