Optical Induction of 2D and 3D Photonic Lattices in Photorefractive Materials based on Talbot effect
In this paper we report the technique of optical
induction of 2 and 3-dimensional (2D and 3D) photonic lattices in
photorefractive materials based on diffraction grating self replication
-Talbot effect. 1D and 2D different rotational symmery diffraction
masks with the periods of few tens micrometers and 532 nm cw laser
beam were used in the experiments to form an intensity modulated
light beam profile. A few hundred micrometric scale replications of
mask generated intensity structures along the beam propagation axis
were observed. Up to 20 high contrast replications were detected for
1D annular mask with 30
[1] E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics
and electronics," Phys. Rev. Lett., vol. 58, pp. 2059-2062, May 1987.
[2] J. Joannopoulos, S. Johnson, R. Meade, J. Winn, Photonic crystals,
Princeton Univ. Press. 2008.
[3] S. Arishmar Cerqueira Jr, "Recent progress and novel applications of
photonic crystal fibers," Rep. Prog. Phys., vol. 73, no. 2, pp. 024401 (1-
21), February 2010.
[4] T. F. Krauss, R. M. De La Rue, "Photonic crystals in the optical regime
- past, present and future," Progress in Quantum Electronics, vol. 23,
no. 2, pp. 51-96, March 1999.
[5] A. Arie, G. Rosenman, A. Korenfield A. Skiliar, M. Oron, D. Eger,
"Efficient resonant frequency doubling of a cw Nd:YAG laser in bulk
periodically poled KTiOPO4, " Opt. Lett., vol. 23, no. 1, pp. 28-30,
January 1998.
[6] T. Kartaloglu, K. G. Korpulu, O.Aytur, M. Suidheimer, W. R. Risk,
"Femtosecond optical parametric oscillator based on periodically poled
KTiOPO4," Opt. Lett., vol. 23, no.1, pp. 61-63, January 1998.
[7] M. Ebrahimzadeh, G. A. Turnball, T. J. Edvards, D. J. M.Stothard, I. D.
Lindsay, M. H. Dunn, "Intracavity continuous-wave singly resonant
optical parametric oscillators," JOSA B, vol. 16, no. 9, pp.1499-1511,
September 1999.
[8] D. Kasimov, A. Arie, E. Winwbrand, G. Rosenman, A. Bruner, P.
Shaier, D. Eger, "Annular symmetry nonlinear frequency converters,"
Opt. Express, vol. 20, no. 20, pp. 9371-9376, October 2006.
[9] S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, Yu. S.
Kivshar, "Generation of second harmonic Bessel beams by transverse
phase matching in annular periodically poled structures," Jap.
Journal Appl. Phys., vol. 47, no. 8, pp. 6777-6783, August 2008.
[10] N. Voloch, T. Ellenbogen, A. Arie, "Radially symmetric nonlinear
photonic crystals," JOSA B, vol. 26, no.1, pp. 42-49, January 2009.
[11] S. M. Saltiel, D. N. Neshev, W. Krolikowski, N.Voloch-Bloch, A. Arie,
O. Bang, Yu .S. Kivshar, "Nonlinear diffraction from a virtual beam,"
Phys. Rev. Lett., vol. 104, no.8, 083902-4, February 2010.
[12] R. J. Collier, Ch. B. Buckhard, L. H. Lin, Optical holography, Academic
press, New York, 1971.
[13] Wai-Hon Lee, "Computer generated holograms: Techniques and
applications," in Progress in Optics, vol. 16, chapter 3, Editor E. Wolf,
North-Holland, 1978, pp. 121-232.
[14] A. Badalyan, R. Hovsepyan, V. Mekhitaryan, P. Mantashyan, R.
Drampyan, "New holographic method for formation of 2D gratings in
photorefractive materials by Bessel standing wave," in Fundamentals of
Laser Assisted Micro- and Nanotechnologies,, edited by Vadim P.
Veiko, T. A. Vartanyan, Proc. of SPIE , Vol. 7996 (SPIE Bellingham,
WA, 2011) 799611-1-9.
[15] A. Badalyan, R. Hovsepyan, V. Mekhitaryan, P. Mantashyan, R.
Drampyan, "Combined interferometric-mask method for creation of
micro- and sub-micrometric scale 3D structures in photorefractive
materials", in Int. Conference on Laser Physics 2010, edited by A. V.
Papoyan, Proc. of SPIE Vol.7998 (SPIE Bellingham, WA, 2011)
7998OH-1-10.
[16] K. Patorski, "The self-imaging phenomenon and its applications," in
Progress in Optics, vol. 27, E. Wolf, Elsevier, Amsterdam, 1989, pp. 1-
108.
[17] H. F. Talbot, "Facts relating to optical science," Phil. Mag., vol. 9, pp.
401-407, December 1836.
[18] Lord Rayleigh, "On copying-diffraction gratings and some phenomena
connected therewith," Phil. Mag., vol. 11, no.4, pp.196-205, December
1881.
[19] J. T. Wintrop, C. R. Worthiington, "Theory of Fresnel images. I Plane
periodic objects in monochromatic light," J. Opt. Soc. Am., vol. 55, no.
4, pp. 373- 381, April 1965.
[20] M. V. Berry, S. Klein, "Integer, fractional and fractal Talbot effect," J.
Mod. Optics, vol. 43, no. 10, pp. 2139-2164, March 1996.
[21] M. Berry, I. Marzoli, W. Shleich, "Quantum carpets, carpets of light,"
Physics World, pp. 39-44, June 2001.
[22] N. Guerineau, B. Harchaoui, J. Primot, K. Heggarty, "Generation of
achromatic and propagation invariant spot arrays by use of continuous
self-imaging gratings," Opt. Lett., vol. 26, no.7, pp. 411-413, April 2001.
[23] M. Testorf, Th. J. Suleski, Yi-Chen Chuang, "Design of Talbot array
illuminators for three-dimensional intensity distributions," Opt. Express,
vol. 24, no.17, pp.7623- 7629, August 2006.
[24] J. Courtial, G. Whyte, Z. Bouchal, J. Wagner, "Iterative algorithm for
holographic shaping of non-diffracting and self-imaging light beams,"
Opt. Express, vol. 14, pp. 2108- 2116, March 2006.
[25] Y. Chnag, J. Wen, S. N. Zu, M. Xiao, "Nonlinear Talbot effect,"
Phys.Rev. Lett., vol.104, no.18, pp. 183901-1-4, May 2010.
[26] C. Denz, M. Schwab, C. Weilnau, Transverse-pattern formation in
photorefractive optics. Springer, 2003.
[27] A. Adibi, K. Buse, D. Psaltis, "The role of carrier mobility in
holographic recording in LiNbO3," Appl. Phys. B, vol. 72, pp. 653-659,
April 2001.
[28] A. M. Glass, D. von der Linde, T. J. Negran, "High-voltage bulk
photovoltaic effect and the photorefractive process in LiNbO3," Appl.
Phys. Lett., vol. 25, no. 4, pp. 233-235, August 1974.
[29] G. T. Avanesyan, E. S. Vartanyan, R. S. Mikaelyan, R. K. Hovsepyan,
A. R. Pogosyan, "Mechanisms of photochromic and photorefractive
effects in doubly doped lithium niobate crystal," Phys. Stat. Sol. (a), vol.
126, pp. 245 - 252, February. 1991.
[1] E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics
and electronics," Phys. Rev. Lett., vol. 58, pp. 2059-2062, May 1987.
[2] J. Joannopoulos, S. Johnson, R. Meade, J. Winn, Photonic crystals,
Princeton Univ. Press. 2008.
[3] S. Arishmar Cerqueira Jr, "Recent progress and novel applications of
photonic crystal fibers," Rep. Prog. Phys., vol. 73, no. 2, pp. 024401 (1-
21), February 2010.
[4] T. F. Krauss, R. M. De La Rue, "Photonic crystals in the optical regime
- past, present and future," Progress in Quantum Electronics, vol. 23,
no. 2, pp. 51-96, March 1999.
[5] A. Arie, G. Rosenman, A. Korenfield A. Skiliar, M. Oron, D. Eger,
"Efficient resonant frequency doubling of a cw Nd:YAG laser in bulk
periodically poled KTiOPO4, " Opt. Lett., vol. 23, no. 1, pp. 28-30,
January 1998.
[6] T. Kartaloglu, K. G. Korpulu, O.Aytur, M. Suidheimer, W. R. Risk,
"Femtosecond optical parametric oscillator based on periodically poled
KTiOPO4," Opt. Lett., vol. 23, no.1, pp. 61-63, January 1998.
[7] M. Ebrahimzadeh, G. A. Turnball, T. J. Edvards, D. J. M.Stothard, I. D.
Lindsay, M. H. Dunn, "Intracavity continuous-wave singly resonant
optical parametric oscillators," JOSA B, vol. 16, no. 9, pp.1499-1511,
September 1999.
[8] D. Kasimov, A. Arie, E. Winwbrand, G. Rosenman, A. Bruner, P.
Shaier, D. Eger, "Annular symmetry nonlinear frequency converters,"
Opt. Express, vol. 20, no. 20, pp. 9371-9376, October 2006.
[9] S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, Yu. S.
Kivshar, "Generation of second harmonic Bessel beams by transverse
phase matching in annular periodically poled structures," Jap.
Journal Appl. Phys., vol. 47, no. 8, pp. 6777-6783, August 2008.
[10] N. Voloch, T. Ellenbogen, A. Arie, "Radially symmetric nonlinear
photonic crystals," JOSA B, vol. 26, no.1, pp. 42-49, January 2009.
[11] S. M. Saltiel, D. N. Neshev, W. Krolikowski, N.Voloch-Bloch, A. Arie,
O. Bang, Yu .S. Kivshar, "Nonlinear diffraction from a virtual beam,"
Phys. Rev. Lett., vol. 104, no.8, 083902-4, February 2010.
[12] R. J. Collier, Ch. B. Buckhard, L. H. Lin, Optical holography, Academic
press, New York, 1971.
[13] Wai-Hon Lee, "Computer generated holograms: Techniques and
applications," in Progress in Optics, vol. 16, chapter 3, Editor E. Wolf,
North-Holland, 1978, pp. 121-232.
[14] A. Badalyan, R. Hovsepyan, V. Mekhitaryan, P. Mantashyan, R.
Drampyan, "New holographic method for formation of 2D gratings in
photorefractive materials by Bessel standing wave," in Fundamentals of
Laser Assisted Micro- and Nanotechnologies,, edited by Vadim P.
Veiko, T. A. Vartanyan, Proc. of SPIE , Vol. 7996 (SPIE Bellingham,
WA, 2011) 799611-1-9.
[15] A. Badalyan, R. Hovsepyan, V. Mekhitaryan, P. Mantashyan, R.
Drampyan, "Combined interferometric-mask method for creation of
micro- and sub-micrometric scale 3D structures in photorefractive
materials", in Int. Conference on Laser Physics 2010, edited by A. V.
Papoyan, Proc. of SPIE Vol.7998 (SPIE Bellingham, WA, 2011)
7998OH-1-10.
[16] K. Patorski, "The self-imaging phenomenon and its applications," in
Progress in Optics, vol. 27, E. Wolf, Elsevier, Amsterdam, 1989, pp. 1-
108.
[17] H. F. Talbot, "Facts relating to optical science," Phil. Mag., vol. 9, pp.
401-407, December 1836.
[18] Lord Rayleigh, "On copying-diffraction gratings and some phenomena
connected therewith," Phil. Mag., vol. 11, no.4, pp.196-205, December
1881.
[19] J. T. Wintrop, C. R. Worthiington, "Theory of Fresnel images. I Plane
periodic objects in monochromatic light," J. Opt. Soc. Am., vol. 55, no.
4, pp. 373- 381, April 1965.
[20] M. V. Berry, S. Klein, "Integer, fractional and fractal Talbot effect," J.
Mod. Optics, vol. 43, no. 10, pp. 2139-2164, March 1996.
[21] M. Berry, I. Marzoli, W. Shleich, "Quantum carpets, carpets of light,"
Physics World, pp. 39-44, June 2001.
[22] N. Guerineau, B. Harchaoui, J. Primot, K. Heggarty, "Generation of
achromatic and propagation invariant spot arrays by use of continuous
self-imaging gratings," Opt. Lett., vol. 26, no.7, pp. 411-413, April 2001.
[23] M. Testorf, Th. J. Suleski, Yi-Chen Chuang, "Design of Talbot array
illuminators for three-dimensional intensity distributions," Opt. Express,
vol. 24, no.17, pp.7623- 7629, August 2006.
[24] J. Courtial, G. Whyte, Z. Bouchal, J. Wagner, "Iterative algorithm for
holographic shaping of non-diffracting and self-imaging light beams,"
Opt. Express, vol. 14, pp. 2108- 2116, March 2006.
[25] Y. Chnag, J. Wen, S. N. Zu, M. Xiao, "Nonlinear Talbot effect,"
Phys.Rev. Lett., vol.104, no.18, pp. 183901-1-4, May 2010.
[26] C. Denz, M. Schwab, C. Weilnau, Transverse-pattern formation in
photorefractive optics. Springer, 2003.
[27] A. Adibi, K. Buse, D. Psaltis, "The role of carrier mobility in
holographic recording in LiNbO3," Appl. Phys. B, vol. 72, pp. 653-659,
April 2001.
[28] A. M. Glass, D. von der Linde, T. J. Negran, "High-voltage bulk
photovoltaic effect and the photorefractive process in LiNbO3," Appl.
Phys. Lett., vol. 25, no. 4, pp. 233-235, August 1974.
[29] G. T. Avanesyan, E. S. Vartanyan, R. S. Mikaelyan, R. K. Hovsepyan,
A. R. Pogosyan, "Mechanisms of photochromic and photorefractive
effects in doubly doped lithium niobate crystal," Phys. Stat. Sol. (a), vol.
126, pp. 245 - 252, February. 1991.
@article{"International Journal of Chemical, Materials and Biomolecular Sciences:50545", author = "A. Badalyan and R. Hovsepyan and V. Mekhitaryan and P. Mantashyan and R. Drampyan", title = "Optical Induction of 2D and 3D Photonic Lattices in Photorefractive Materials based on Talbot effect", abstract = "In this paper we report the technique of optical
induction of 2 and 3-dimensional (2D and 3D) photonic lattices in
photorefractive materials based on diffraction grating self replication
-Talbot effect. 1D and 2D different rotational symmery diffraction
masks with the periods of few tens micrometers and 532 nm cw laser
beam were used in the experiments to form an intensity modulated
light beam profile. A few hundred micrometric scale replications of
mask generated intensity structures along the beam propagation axis
were observed. Up to 20 high contrast replications were detected for
1D annular mask with 30 ", keywords = "Diffraction gratings, laser, photonic lattice, Talbot
effect.", volume = "6", number = "3", pages = "179-5", }
