volume | PIER Journals

2010-09-23

Can Maxwell's Fish Eye Lens Really Give Perfect Imaging?

Fei Sun,

Dr. Fei Sun

College of Physics and Optoelectronics

Taiyuan University of Technology

China

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Sailing He

Prof. Sailing He

Department of Electromagnetic Theory

Royal Institute of Technology

Sweden

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Progress In Electromagnetics Research, Vol. 108, 307-322, 2010

doi:10.2528/PIER10091003

Abstract

Both explicit analysis and FEM numerical simulation are used to analyze the field distribution of a line current in the so-called Maxwell's fish eye lens [bounded with a perfectly electrical conductor (PEC) boundary]. We show that such a 2D Maxwell's fish eye lens cannot give perfect imaging due to the fact that high order modes of the object field can hardly reach the image point in Maxwell's fish eye lens. If only zeroth order mode is excited, a good image of a sharp object may be achieved in some cases, however, its spot-size is larger than the spot size of the initial object field. The image resolution is determined by the field spot size of the image corresponding to the zeroth order component of the object field. Our explicit analysis consists very well with the FEM results for a fish eye lens. Time-domain simulation is also given to verify our conclusion. Multi-point images for a single object point are also demonstrated.

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Fei Sun, and Sailing He, "Can Maxwell's Fish Eye Lens Really Give Perfect Imaging?," Progress In Electromagnetics Research, Vol. 108, 307-322, 2010.
doi:10.2528/PIER10091003

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