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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

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Arbitrary n-sided irregular polygonal electromagnetic transformed media.

Seyed Hasan Sedighy¹, Mohammad Khalaj-Amirhosseini

¹School of Electrical Engineering, Iran University of Science & Technology (IUST), Tehran, Iran. sedighy@iust.ac.ir

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|December 4, 2012

Summary

This study introduces a novel optical transformation method for designing irregular polygonal media. The technique enables the creation of advanced optical devices like cloaks and concentrators with verified simulation results.

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Area of Science:

* Electromagnetics and Optics: Focuses on the design and application of transformed media.
* Materials Science: Involves the manipulation of material properties like permittivity and permeability.

Background:

* Designing complex optical media with arbitrary shapes presents significant challenges in electromagnetics.
* Existing methods often lack the flexibility to handle irregular geometries and specific transformations.

Purpose of the Study:

* To introduce a generalized method for designing arbitrary n-sided irregular polygonal transformed media.
* To provide explicit closed-form expressions for permittivity and permeability tensors.
* To demonstrate the design of various optical devices including cloaks, concentrators, superscatterers, and superabsorbers.

Main Methods:

* Utilizes a Y-intercept transformation in the Cartesian coordinate system.
* Decomposes arbitrary shaped media into triangular segments for analysis.
* Derives explicit closed-form expressions for the permittivity and permeability tensors of these segments.

Main Results:

* Successfully designed arbitrary irregular cloaks, concentrators, superscatterers, and superabsorbers.
* Developed explicit closed-form expressions for the required material tensors.
* Numerical simulations verified the effectiveness and versatility of the proposed design method.

Conclusions:

* The proposed Y-intercept transformation method offers a powerful and universal approach for designing complex optical media.
* The derived tensor expressions facilitate the practical realization of advanced optical devices.
* The method's capability is confirmed through successful simulations of various optical functionalities.