Subwavelength focusing with a Mikaelian planar lens

  • Authors:

  • V. V. Kotlyar;A. A. Kovalev;V. A. Soifer

  • Affiliations:

  • Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, Samara, Russia 443001 and Technical Cybernetics Subdepartment, S.P. Korolyev Samara State Aero ...;Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, Samara, Russia 443001 and Technical Cybernetics Subdepartment, S.P. Korolyev Samara State Aero ...;Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, Samara, Russia 443001 and Technical Cybernetics Subdepartment, S.P. Korolyev Samara State Aero ...

  • Venue:
  • Optical Memory and Neural Networks
  • Year:
  • 2010

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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.