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Original Articles

Talbot Effect from Rotational Symmetry Gratings: Application to 3D Refractive Grating Formation

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Pages 57-67 | Published online: 13 Jun 2012

References

  • Collier , R. J. , Buckhard , Ch. B. and Lin , L. H. 1971 . Optical Holography , New York : Academic Press .
  • Lee , Wai-Hon . 1978 . Progress in Optics, Editor Emil Wolf, Vol. XVI, Chapter 3, “Computer Generated Holograms: Techniques and Applications 121 – 232 . North-Holland
  • Denz , C. , Schwab , M. and Weilnau , C. 2003 . Transverse-pattern Formation in Photorefractive Optics , Springer .
  • 2009 . Photorefractive materials, effects and devices. Control of light and matter . Applied Physics B, special issue , 95 : 3 V., N.
  • Chandrasekhar , S. 1977 . Liquid Crystals , Cambridge University Press .
  • Bortolozzo , U. , Residori , S. , Petrosyan , A. and Huignard , J. P. 2006 . Pattern formation and direct measurement of the spatial resolution in a photorefractive liquid-crystal-light-valve . Opt. Commun. , 263 : 317 – 321 .
  • Simoni , F. , Chipparrone , G. , Umeton , C. , Arabia , G. and Chidichimo , G. 1990 . Nonlinear optical effects in polymer dispersed liquid crystals . Mol. Cryst. Liq.Cryst. , 179 : 269 – 275 .
  • Hikmet , R. A. M. and Lub , J. 1996 . Anisotropic networks and gels obtained by photo-polymerization in the liquid crystalline state: synthesis and applications . Prog. Polym. Sci. , 21 : 1165 – 1209 .
  • Galstian , T. V. , Zohrabyan , L. , Albu , A. M. , Rusen , E. , Marculescu , B. and Vasilescu , D. S. 2004 . Polymer stabilized liquid crystal system containing a performed polymer guest . J. Nonlinear Optics, Quantum Optics , 32 : 1 – 11 .
  • Ren , H. , Fan , Y. H. and Wu , S.-T. 2003 . Prism grating using polymer stabilized nematic liquid crystals . Appl. Phys. Lett. , 82 : 3168 – 3170 .
  • Cheben , P. and Calvo , M. L. 2001 . A photopolymerizable glass with diffraction efficiency near 100% for holographic storage . Appl. Phys. Lett. , 78 : 1490 – 1492 .
  • Del Monte , F. , Cheben , P. , Martinez-Matos , O. , Rodrigo , J. A. and Calvo , M. L. 2006 . A volume holographic sol-gel material with large enhancement of dynamic range by incorporation of high refractive index species . Adv. Mater. , 18 : 2014 – 2017 .
  • Martinez-Matos , O. , Rodrigo , J. A. , Calvo , M. L. and Del Monte , F. 2007 . Diffusion study in tailored gratings recorded in photopolymer glass with high refractive index species . Appl. Phys. Lett. , 91 : 1411151 – 1411153 .
  • Calvo , M. L. and Cheben , P. 2009 . Photopolymerizable sol-gel nanocomposites for holographic recording . J. Opt. A, Pure Appl. Opt. , 11 : 1 – 11 .
  • Ackemann , T. and Lange , W. 2001 . Optical pattern formation in alkali metal vapors: Mechanisms, phenomena and use . Applied Physics B , 72 : 21 – 34 .
  • Korneev , N. and Benavides , O. 2008 . Mechanisms of holographic recording in rubidium vapor close to resonance . JOSA B , 25 : 1899 – 1906 .
  • Yablonovitch , E. 1987 . Inhibited spontaneous emission in solid-state physics and electronics . Phys. Rev. Lett. , 58 : 2059 – 2062 .
  • Krauss , T. F. and De La Rue , R. M. 1999 . Photonic crystals in the optical regime – past, present and future . Progress in Quantum Electronics , 23 : 51 – 96 .
  • Joannopoulos , J. , Johnson , S. , Meade , R. and Winn , J. 2008 . Photonic Crystals , Princeton Univ. Press .
  • Cerqueira , S and Arishmar , Jr . 2010 . Recent progress and novel applications of photonic crystal fibers . Rep. Prog. Phys. , 73 ( 024401 ) : 1 – 21 .
  • Adibi , A. , Buse , K. and Psaltis , D. 2001 . Two-center holographic recording . JOSA B , 18 : 584 – 601 .
  • Fleischer , J. W. , Segev , M. , Efremidis , N. K. and Christodoulides , D. N. 2003 . Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices . Nature , 422 : 147 – 150 .
  • Badalyan , A. , Hovsepyan , R. , Mekhitaryan , V. , Mantashyan , P. and Drampyan , R. 2011 . “ New holographic method for formation of 2D gratings in photorefractive materials by Bessel standing wave ” . In Fundamentals of Laser Assisted Micro- and Nanotechnologies 2010 , Edited by: Veiko , Vadim P. and Vartanyan , Tigran A. 799611 – 1-9 . WA : SPIE Bellingham . Proceedings of SPIE, Vol. 7996 2011
  • Badalyan , A. , Hovsepyan , R. , Mekhitaryan , V. , Mantashyan , P. and Drampyan , R. 2011 . “ Combined interferometric-mask method for creation of micro- and sub-micrometric scale 3D structures in photorefractive materials ” . In International Conference on Laser Physics 2010 , Edited by: Papoyan , Aram V. 7998 OH-1 – 10 . WA : SPIE Bellingham . Proceedings of SPIE Vol. 7998 2011
  • Patorski , K. 1989 . “ Progress in Optics ” . In The self-imaging phenomenon and its applications , Edited by: Wolf , E . 2 – 108 . Amsterdam : Elsevier . Vol XXVII, Chapter 1
  • Talbot , H. F. 1836 . Facts relating to optical science . Phil. Mag. , 9 : 401 – 407 .
  • Rayleigh , Lord . 1881 . On copying-diffraction gratings, and some phenomena connected therewith . Phil. Mag. , 11 : 196 – 205 .
  • Wintrop , J. T. and Worthington , C. R. 1965 . Theory of Fresnel images. I. Plane periodic objects in monochromatic light . J. Opt. Soc. Am. , 55 : 373 – 381 .
  • Berry , M. V. and Klein , S. 1996 . Integer, fractional and fractal Talbot effect . J. Mod. Optics , 43 : 2139 – 2164 .
  • Chapman , M. S. , Ekstrom , C. R. , Hammond , T. D. , Schmiedmayer , J. , Tannian , B. E. , Wehinger , S. and Pritchard , D. E. 1995 . Near field imaging of atom diffraction gratings: the atomic Talbot effect . Phys. Rev. A , 51 : R14 – R17 .
  • Deng , L. , Hagley , E. W. , Denschlag , J. , Simsarian , J. E. , Edwards , M. , Clark , C. W. , Helmerson , K. , Rolston , S. L. and Phillips , W. D. 1999 . The temporal, matter-wave-dispersion Talbot effect . Phys. Rev. Lett. , 83 : 5407 – 5411 .
  • Berry , M. , Marzoli , I. and Schleich , W. 2001 . Quantum carpets, carpets of light . Physics World , : 39 – 44 . June
  • Guerineau , N. , Harchaoui , B. , Primot , J. and Heggarty , K. 2001 . Generation of achromatic and propagation invariant spot arrays by use of continious self-imaging gratings . Optics Letters , 26 : 411 – 413 .
  • Iwanow , R. , May-Arrioja , D. A. , Christodoulides , D. N. , Stegeman , G. I. and Min , Y. 2005 . Discrete Talbot effect in waveguide arrays” . Phys. Rev. Lett. , 95 : 053902
  • Bortolozzo , U. , Residori , S. and Huignard , J. P. 2006 . Talbot effect to enhance the two-wave-mixing gain in a stack of thin nonlinear media . Opt. Lett. , 31 : 2166 – 3168 .
  • Testorf , M. , Suleski , Th. J. and Chuang , Yi-Chen . 2006 . Design of Talbot array illuminators for three-dimensional intensity distributions . Optics Express , 24 : 7623 – 7629 .
  • Courtial , J. , Whyte , G. , Bouchal , Z. and Wagner , J. 2006 . Iterative algorithm for holographic shaping of non-diffracting and self-imaging light beams . Opt. Express , 14 : 2108 – 2116 .
  • Chang , Y. , Wen , J. , Zu , S. N. and Xiao , M. 2010 . Nonlinear Talbot effect . Phys. Rev. Lett. , 104 : 183901 – 1-4 .
  • Adibi , A. , Buse , K. and Psaltis , D. 2001 . The role of carrier mobility in holographic recording in LiNbO3 . Appl. Phys. B , 72 : 653 – 659 .
  • Chen , F. S. 1969 . Optically induced change of refractive indices in LiNbO3 and LiTaO3 . J. Appl. Phys. , 40 : 3389 – 3396 .
  • Glass , A. M. , von der Linde , D. and Negran , T. J. 1974 . High-voltage bulk photovoltaic effect and the photorefractive process in LiNbO3 . Appl. Phys. Lett. , 25 : 233 – 235 .
  • Avanesyan , G. T. , Vartanyan , E. S. , Mikaelyan , R. S. , Hovsepyan , R. K. and Pogosyan , A. R. 1991 . Mechanisms of photochromic and photorefractive effects in doubly doped lithium niobate crystal . Phys. Stat. Sol. (a) , 126 : 245 – 252 .
  • Günter , P. and Huignard , J. P. 2007 . Photorefractive Materials and Their Applications III, Springer Series in Optical Sciences, Vol. 115 New York
  • Yang , Y. , Nee , I. , Buse , K. and Psaltis , D. 2001 . Ionic and electronic dark decay of holograms in LiNbO3:Fe crystals” . Appl. Phys. Lett. , 78 : 4076 – 4078 .
  • Nee , I. , Muller , M. , Buse , K. and Kratzig , E. 2000 . Role of iron in lithium-niobate crystals for the dark-storage times of holograms . J. Appl. Phys. , 88 : 4282 – 4287 .
  • Amodei , J. J. and Staebler , D. L. 1971 . Holographic pattern fixing in electro-optic crystals . Appl. Phys. Lett. , 18 : 540 – 542 .
  • Staebler , D. L. , Burke , W. J. , Phillips , W. and Amodei , J. J. 1975 . Multiple storage and erasure of fixed holograms in Fe-doped LiNbO3 . Appl. Phys. Lett. , 26 : 182 – 184 .
  • Amodei , J. , Phillips , W. and Staebler , D. 1972 . Improved electrooptic materials and fixing techniques for holographic recording . Appl. Opt. , 11 : 390 – 396 .
  • Von der Linde , D. , Glass , A. M. and Rodgers , K. F. 1974 . Multiphoton photorefractive processes for optical storage in LiNbO3 . Appl. Phys. Lett. , 25 : 155 – 157 .
  • Mantashyan , P. 2011 . “ Photochromic effect and holographic recording in doubly doped LiNbO3 crystals ” . In International Conference on Laser Physics 2010 , Edited by: Papoyan , Aram V. 7998 OJ-1 – 8 . WA : SPIE Bellingham . Proceedings of SPIE Vol. 7998

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