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Wide-angle scannable reflector design using conformal transformation optics.

Liang Liang¹, Sean V Hum

¹The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, 10 King's College Road, Toronto, Ontario, M5S 3G4, Canada.

|February 8, 2013

Summary

This summary is machine-generated.

A novel flat reflector, designed using transformation optics, achieves wide-angle beam scanning up to 47°. This advanced antenna technology maintains excellent performance and directivity comparable to parabolic reflectors.

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Area of Science:

Electromagnetics and Optics
Antenna Theory and Design

Background:

Traditional parabolic reflectors offer high directivity but are mechanically complex for beam steering.
Achieving wide-angle electronic beam scanning in antennas often involves trade-offs in performance or bandwidth.

Purpose of the Study:

To design a flat reflector capable of wide-angle beam scanning using transformation optics.
To achieve electronic beam steering with performance comparable to conventional parabolic reflectors.

Main Methods:

Utilizing transformation optics to derive a flat reflector from a virtual parabolic counterpart.
Employing conformal coordinate transformations, specifically the Schwarz-Christoffel transformation, to define the permittivity profile.
Analyzing beam characteristics and directivity across a wide frequency range and scan angles.

Main Results:

A flat reflector design capable of scanning up to 47° from broadside was achieved.
The designed reflector maintained good beam characteristics and directivity comparable to parabolic reflectors, even at high scan angles.
The use of the Schwarz-Christoffel transformation avoided material anisotropy issues common in quasi-conformal methods.

Conclusions:

Transformation optics provides an effective method for designing flat, wide-angle scanning reflectors.
The proposed flat reflector offers a promising alternative to traditional mechanically steered antennas.
This design enables efficient electronic beam steering with preserved performance metrics.