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Reflection and Transmission of Light Beams at a Curved Interface: Coherent State Approach

Received: 20 July 2015     Accepted: 25 July 2015     Published: 11 August 2015
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Abstract

Phase-space procedure based on coherent state representation is proposed for investigation of reflection and transmission of wave beams at a curved dielectric boundary. Numerical simulations of reflection and transmission of light at various boundaries separating two different dielectrics are carried out. Significant influence of wave-front curvature and polarization of incident beam on the reflectance and transmittance is shown.

Published in American Journal of Optics and Photonics (Volume 3, Issue 2)
DOI 10.11648/j.ajop.20150302.12
Page(s) 30-33
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Reflection and Transmission, Coherent States, TE and TM Polarized Beams

References
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[3] I. Daubechies, “The wavelet transform, time-frequency localization and signal analysis”, IEEE Trans., 1990, IT-36, pp. 961-1005.
[4] D. Lugara, and C. Letrau, “Alternative to Gabor’s representation of plane aperture radiation”, Electronics Letters, 1998, 34, pp.2286-2287.
[5] F. Wyrowski, and M. Kuhn, Introduction to field tracing, J. Mod. Opt., 2011, 58, 449-466.
[6] R.J. Glauber, “Coherent and incoherent states of the radiation field”, Phys. Rev., 1963, 131, pp. 2766-2788.
[7] J.R. Klauder and B.S. Skagerstam, Coherent states, Singapore: World Scientific, 1985.
[8] N.I. Petrov, “Focusing of beams into subwavelength area in an inhomogeneous medium”, Optics Express, 2001, 9, pp. 658-673.
[9] E.S. Schrodinger, “Der Stetige Ubergang von den Mikro- zur Makromechanik,” Naturwissenschaften, 1926, 14, pp. 664-666.
[10] Y.Z. Ruan, and L.B. Felsen, “Reflection and transmission of beams at a curved interface,” J. Opt. Soc. Am. A, 1986, 3, 566-579.
[11] N.I. Petrov, “Reflection and transmission of strongly focused vector beams at a dielectric interface”, Optics Letters, 2004, 29, pp. 421-423.
[12] N.I. Petrov, “Reflection and transmission of strongly focused light beams at a dielectric interface”, J. Mod. Opt., 2005, 52, no. 11, pp. 1545-1556.
[13] D. Marcuse, Light Transmission Optics, Chapter I, New York, 1972.
[14] A.A. Tovar, Propagation of flat-topped multi-Gaussian laser beams, J. Opt. Soc. Am. A, 2001, 18, 1897-1904.
[15] A.A. Tovar, and L.W. Casperson, “Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems,” J. Opt. Soc. Am. A, 1995, 12, 1522-1533.
[16] N. Lindlein, “Simulation of micro-optical systems including microlens arrays,” J. Opt. A: Pure Appl. Opt., 2002, 4, S1-S9.
[17] H. Urey, and K.D. Powell, “Microlens-array-based exit-pupil expander for full-color displays,” Applied Optics, 2005, 44, 4930-4936.
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  • APA Style

    Nikolai I. Petrov. (2015). Reflection and Transmission of Light Beams at a Curved Interface: Coherent State Approach. American Journal of Optics and Photonics, 3(2), 30-33. https://doi.org/10.11648/j.ajop.20150302.12

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    ACS Style

    Nikolai I. Petrov. Reflection and Transmission of Light Beams at a Curved Interface: Coherent State Approach. Am. J. Opt. Photonics 2015, 3(2), 30-33. doi: 10.11648/j.ajop.20150302.12

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    AMA Style

    Nikolai I. Petrov. Reflection and Transmission of Light Beams at a Curved Interface: Coherent State Approach. Am J Opt Photonics. 2015;3(2):30-33. doi: 10.11648/j.ajop.20150302.12

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  • @article{10.11648/j.ajop.20150302.12,
      author = {Nikolai I. Petrov},
      title = {Reflection and Transmission of Light Beams at a Curved Interface: Coherent State Approach},
      journal = {American Journal of Optics and Photonics},
      volume = {3},
      number = {2},
      pages = {30-33},
      doi = {10.11648/j.ajop.20150302.12},
      url = {https://doi.org/10.11648/j.ajop.20150302.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20150302.12},
      abstract = {Phase-space procedure based on coherent state representation is proposed for investigation of reflection and transmission of wave beams at a curved dielectric boundary. Numerical simulations of reflection and transmission of light at various boundaries separating two different dielectrics are carried out. Significant influence of wave-front curvature and polarization of incident beam on the reflectance and transmittance is shown.},
     year = {2015}
    }
    

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Author Information
  • Scientific and Technological Centre of Unique Instrumentation, Russian Academy of Sciences, Moscow, Russia

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