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Fabricating Metamaterials Using the Fiber Drawing Method

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PT metamaterials via complex-coordinate transformation optics.

Giuseppe Castaldi¹, Silvio Savoia, Vincenzo Galdi

¹Waves Group, Department of Engineering, University of Sannio, I-82100 Benevento, Italy.

Physical Review Letters

|May 18, 2013

Summary

We introduce a new approach using complex coordinates to design electromagnetic metamaterials with balanced loss and gain. This method enhances understanding of parity-time (PT) symmetric materials and their unique wave properties.

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Area of Science:

Electromagnetism and Metamaterials
Wave Optics and Photonics

Background:

Transformation optics is a powerful paradigm for designing electromagnetic metamaterials.
Existing methods face challenges with metamaterials exhibiting balanced loss and gain, particularly parity-time (PT) symmetric systems.

Purpose of the Study:

To extend the transformation optics paradigm into the complex spatial coordinate domain.
To develop a general theory for analyzing electromagnetic metamaterials with balanced loss and gain.
To provide a framework for understanding PT-symmetric metamaterials and their unique wave phenomena.

Main Methods:

Extension of transformation optics to a complex spatial coordinate domain.
Application of the generalized theory to complex-source-point radiation.
Analysis of anisotropic transmission resonances using the new formalism.

Main Results:

A generalized theoretical framework for transformation optics in complex coordinates.
Demonstration of the approach's utility in analyzing PT-symmetric metamaterials.
Insights into complex-coordinate wave objects and resonant states.

Conclusions:

The complex coordinate extension of transformation optics offers a powerful tool for designing and analyzing advanced metamaterials.
This approach facilitates systematic design and analytical modeling of materials with balanced loss and gain.
It provides deeper physical insights into resonant states and wave behavior in complex optical systems.