Subwavelength focusing with a Mikaelian planar lens
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- Kotlyar, V.V., Kovalev, A.A. & Soifer, V.A. Opt. Mem. Neural Networks (2010) 19: 273. doi:10.3103/S1060992X1004003X
We show that an arbitrary TE-polarized light field propagating in a Mikaelian secant (MS) planar lens can be decomposed into modes described by the Jacobi polynomials. This light field will be periodically repeated at the Talbot length and focused with a half-Talbot length period. An analytical expression for the width of the focal spot has been obtained. The MS lens allows obtaining a focal spot of width equal to the diffraction limit in the medium. The MS lens has been fabricated as a planar photonic crystal lens in a silicon film for wavelength 1.55 μm, and its focusing properties have been demonstrated by visible light (532 nm) interference fringes.