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Subwavelength focusing with a Mikaelian planar lens

  • This Issue is Dedicated to Memory of Academician Andrey L. Mikaelyan
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Abstract

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.

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Authors and Affiliations

  1. Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, ul. Molodogvardeyskaya 151, Samara, 443001, Russia

    V. V. Kotlyar, A. A. Kovalev & V. A. Soifer

  2. Technical Cybernetics Subdepartment, S.P. Korolyev Samara State Aerospace University, Moskovskoe shosse 34, Samara, 443086, Russia

    V. V. Kotlyar, A. A. Kovalev & V. A. Soifer

Authors
  1. V. V. Kotlyar
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  2. A. A. Kovalev
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  3. V. A. Soifer
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Correspondence to A. A. Kovalev.

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Kotlyar, V.V., Kovalev, A.A. & Soifer, V.A. Subwavelength focusing with a Mikaelian planar lens. Opt. Mem. Neural Networks 19, 273–278 (2010). https://doi.org/10.3103/S1060992X1004003X

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  • DOI: https://doi.org/10.3103/S1060992X1004003X

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