Perfect imaging without negative refraction

Details Perfect imaging without negative refraction Perfect imaging without negative refraction

2009-09-29

arxiv.org/abs/0909.5305v1

New Journal of Physics 11, 093040 (2009)

Physics

Optics

Scientific paper

10.1088/1367-2630/11/9/093040

Perfect imaging has been believed to rely on negative refraction, but here we show that an ordinary positively-refracting optical medium may form perfect images as well. In particular, we establish a mathematical proof that Maxwell's fish eye in two-dimensional integrated optics makes a perfect instrument with a resolution not limited by the wavelength of light. We also show how to modify the fish eye such that perfect imaging devices can be made in practice. Our method of perfect focusing may also find applications outside of optics, in acoustics, fluid mechanics or quantum physics, wherever waves obey the two-dimensional Helmholtz equation.

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