Journal of the European Optical Society - Rapid publications, Vol 4 (2009)

Self-imaging effect in multimode waveguides with longitudinal periodicity

S. F. Helfert, B. Huneke, J. Jahns

Abstract


This paper deals with the self--imaging effect in multimode waveguides. Analogies and differences to the free--space case are shown. The fields in multimode waveguides are studied. Particularly, the behavior of the fields is examined, when aperiodic perturbation is introduced.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2009.09031]

Full Text: PDF

Citation Details


Cite this article

References


M. Sarutawari, "All-optical signal processing for terabit/second optical transmission" IEEE J. Sel. Top. Quant. 6, 1363-1374 (2000).

J. W. Goodman, F. J. Leonberger, S.-Y. Kung, and R. A. Athale,"Optical interconnections for VLSI systems" Proc. IEEE 72, 850-866 (1984).

M. Jarczynski, T. Seiler, and J. Jahns, "Integrated three-dimensional optical multilayer using free-space optics" Appl. Optics 45, 6335- 6341 (2006).

J. D. Joannopoulus, R. D. Meade, and J. N. Winn, Photonic crystals - Molding the flow of light (Princeton University Press, 1995).

O. Bryngdahl, "Image formation using self-imaging techniques" J. Opt. Soc. Am. 63, 416-419 (1973).

R. Ulrich and G. Ankele, "Self-imaging in homogeneous planar optical waveguides" Appl. Phys. Lett. 27, 337-339 (1975).

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications" J. Lightwave Techol. 13, 615-627 (1995).

S. F. Helfert, B. Huneke, and J. Jahns, "Studies of the self-imaging effect in multimode waveguides" in ICTON Conf., 255-258 (Athens, Greece, 2008).

R. Pregla and W. Pascher, "The Method of Lines" in Numerical Techniques for Microwave and Millimeter Wave Passive Structures, T. Itoh, ed., 381-446 (J. Wiley Publ., New York, USA, 1989).

S. F. Helfert and R. Pregla, "The method of lines: a versatile tool for the analysis of waveguide structures" Electromagnetics 22, 615- 637 (2002).

R. Pregla, Analysis of Electromagnetic Fields and Waves - The Method of Lines (Wiley & Sons, Chichester, UK, 2008).

H. F. Talbot, "Facts relating to optical science, No. IV" Philos. Mag. 9, 401-407 (1836).

W. D. Montgomery, "Self-imaging objects of infinite aperture" J. Opt. Soc. Am. 57, 772-778 (1967).

A. W. Lohmann, H. Knuppertz, and J. Jahns, "Fractional Montgomery effect: a self-imaging phenomenon" J. Opt. Soc. Am. A 22, 1500-1508 (2005).

J. Jahns and A. W. Lohmann, "Optical wavefields with lateral and longitudinal periodicity" Appl. Opt. 48, 3438-3445 (2009).

H.-J. Kim, I. Park, O. Beom-Hoan, S.-G. Park, E.-H. Lee, and S.-G. Lee, "Self-imaging phenomena in multi-mode photonic crystal line- defect waveguides: applicazion to wavelength de-multiplexing" Opt. Express 12, 5625-5633 (2004).

M. R. Dennis, N. I. Zheludev, and F. J. G. de Abajo, "The plasmon Talbot effect" Opt. Express 15, 9692-9700 (2007).