Abstract
The Talbot effect, consisting of a series of self-images in planes beyond a grating illuminated by coherent light, is well known in optics and has received wide attention. Fundamental properties and many practical applications of the Talbot effect in a homogeneous medium have been considered [7.1–7.10]. The Talbot effect has also been studied in the context of atom optics because of similarities between the Schrödinger and the paraxial wave equations [7.11–7.12]. Likewise, the self-imaging phenomenon, in general, can be treated as a superposition of a proper set of modes in either free space or inhomogeneous media [7.13].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.F. Talbot: Phil. Mag. 9, 401 (1836)
Lord Rayleigh: Phil. Mag. 11, 196 (1881)
W.D. Montgomery: J. Opt. Soc. Am. 57, 772 (1967)
K. Patorski: ‘The Self-Imaging Phenomenon and Its Application’. In Progress in Optics XXVII, E. Wof, ed. ( Elsevier Science B.V., Amsterdam 1989 ) pp. 3–101
P.M. Mejias, R. Martinez: J. Opt. Soc. Am. A 8, 266 (1991)
M.V. Berry, S. Klein: J. Mod. Opt. 43, 2139 (1996)
J.R. Leger, G.J. Swanson: Opt. Lett. 15, 288 (1990)
A.W. Lohmann, J.A. Thomas: Appl. Opt. 29, 4337 (1990)
V. Arrizon, J. Ojeda-Castaneda: Opt. Lett. 18, 1 (1993)
C. Zhou, L. Wang, T. Tschudi: Opt. Commun. 147, 224 (1998)
J.F. Clauser, S. Li: Phys. Rev. A 49, 2213 (1994)
J.F. Clauser, M.W. Reinsch: Appl. Phys. B 54, 380 (1992)
P. Szwaykowski, J. Ojeda-Castaneda: Opt. Commun. 83, 1 (1991)
R.G. Hunsperger: Integrated Optics: Theory and Technology, 4th edn. ( Springer-Verlag, Berlin 1995 ), Chap. 6
Th. Niemeier, R. Ulrich: Opt. Lett. 11, 677 (1986)
W-H Yeh, M. Mansuripur, M. Fallahi, R. Scott: Opt. Commun. 170, 207 (1999)
C. Aramburu: Photonic Integrated Devices by Multimode Interference for Optical Networks, Ph.D. Dissertation, Telecommunication High School, Public University of Navarra (2000)
M.T. Flores-Arias, C. Bao, M.V. Perez, C. Gomez-Reino: J. Opt. Soc. Am. A 16, 2439 (1999)
R. Jozwicki: Opt. Acta 30, 73 (1983)
G.S. Agarwal: Opt. Commun. 119, 30 (1995)
D. Joyeux, Y. Cohen-Sabban: Appl. Opt. 21, 625 (1982)
Y. Cohen-Sabban, D. Joyeux: J. Opt. Soc. Am. 73, 707 (1983)
V. Arrizon, J.G. Ibarra: Opt. Lett. 21, 378 (1996)
V. Arrizon, J. Ojeda-Castaneda: Appl. Opt. 33, 5925 (1994)
J. Westerholm, J. Turunen, J. Huttunen: J. Opt. Soc. Am. A 11, 1283 (1994)
J. Turunen: Pure Appl. Opt. 2, 243 (1993)
M.T. Flores-Arias, C.R. Fernandez-Pousa, M.V. Perez, C. Bao, C. Gomez-Reino: J. Opt. Soc. Am. A 17, 1007 (2000)
C. Gomez-Reino, M.T. Flores-Arias, M.V. Perez, C. Bao: Opt. Commun. 183, 365 (2000)
M. Testorf, J. Jahns, N.A. Khilo, A.M. Goncharenko: Opt. Commun. 129, 167 (1996)
A.W. Lohmann: Optical Information Processing (Universität Erlangen-Nijrnberg 1978), pp. 107–108
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gomez-Reino, C., Perez, M.V., Bao, C. (2002). The Talbot Effect in GRIN Media. In: Gradient-Index Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04741-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-04741-5_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07568-1
Online ISBN: 978-3-662-04741-5
eBook Packages: Springer Book Archive