Optical Memory and Neural Networks

, Volume 19, Issue 4, pp 273–278

Subwavelength focusing with a Mikaelian planar lens

Authors

  • V. V. Kotlyar
    • Laser Measurements LaboratoryImage Processing Systems Institute of the Russian Academy of Sciences
    • Technical Cybernetics SubdepartmentS.P. Korolyev Samara State Aerospace University
    • Laser Measurements LaboratoryImage Processing Systems Institute of the Russian Academy of Sciences
    • Technical Cybernetics SubdepartmentS.P. Korolyev Samara State Aerospace University
  • V. A. Soifer
    • Laser Measurements LaboratoryImage Processing Systems Institute of the Russian Academy of Sciences
    • Technical Cybernetics SubdepartmentS.P. Korolyev Samara State Aerospace University
This Issue is Dedicated to Memory of Academician Andrey L. Mikaelyan

DOI: 10.3103/S1060992X1004003X

Cite this article as:
Kotlyar, V.V., Kovalev, A.A. & Soifer, V.A. Opt. Mem. Neural Networks (2010) 19: 273. doi:10.3103/S1060992X1004003X

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.

Keywords

Mikaelian secant lensSELFOC—Mikaelian waveguidewaveguide modesJacobi polynomialsphotonic crystal lens

Copyright information

© Allerton Press, Inc. 2010