Optical Memory and Neural Networks

, Volume 19, Issue 4, pp 273–278

Subwavelength focusing with a Mikaelian planar lens

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


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.


Mikaelian secant lensSELFOC—Mikaelian waveguidewaveguide modesJacobi polynomialsphotonic crystal lens

Copyright information

© Allerton Press, Inc. 2010

Authors and Affiliations

  • V. V. Kotlyar
    • 1
    • 2
  • A. A. Kovalev
    • 1
    • 2
  • V. A. Soifer
    • 1
    • 2
  1. 1.Laser Measurements LaboratoryImage Processing Systems Institute of the Russian Academy of SciencesSamaraRussia
  2. 2.Technical Cybernetics SubdepartmentS.P. Korolyev Samara State Aerospace UniversitySamaraRussia