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Flat focusing lens designs having minimized reflection based on coordinate transformation techniques.

Do-Hoon Kwon¹, Douglas H Werner

¹Department of Electrical and Computer Engineering University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA.

|May 13, 2009

Summary

New transformation optics lenses minimize reflections for improved wave manipulation. Designs include a trapezoidal flat lens and a rectangular lens with nonlinear transformation, verified by finite-element analysis.

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Area of Science:

Physics
Optics
Materials Science

Background:

Transformation optics enables novel wave manipulation by controlling material properties.
Minimizing reflections is crucial for efficient performance of optical devices.
Previous designs often suffer from significant reflection losses.

Purpose of the Study:

To design two-dimensional focusing lenses with minimized boundary reflections using coordinate transformation.
To develop a flat trapezoidal lens for converting cylindrical to planar wavefronts.
To create a rectangular lens with reduced non-magnetic material parameters and enhanced reflection performance.

Main Methods:

Utilizing the coordinate transformation approach for lens design.
Employing a nonlinear coordinate transformation for the rectangular lens.
Conducting full-wave finite-element analysis for performance verification.

Main Results:

A trapezoidal flat lens successfully converts cylindrical to planar wavefronts.
The rectangular lens with nonlinear transformation shows significantly reduced reflections compared to linear transformation designs.
Both designs demonstrate improved reflection performance over previously reported transformation optical lenses.

Conclusions:

The coordinate transformation approach is effective for designing low-reflection focusing lenses.
Nonlinear transformations offer enhanced performance for non-magnetic transformation optical devices.
These advanced lens designs hold promise for improved wave control applications.