Journal of the European Optical Society - Rapid publications, Vol 1 (2006)

Retroreflector array as a tapped delay-line filter for ultra-short optical pulses

A. Sabatyan, J. Jahns


A retroreflector array can be used to act as an optical tapped delay-line filter for temporal optical signals. Here, we demonstrate the basic operation and present a theoretical description. Our theory is based on the mathematical formalism for finite impulse response filters. A relationship to the classical Talbot bands experiment is established. By adding a mask to the retroreflector array, one can implement arbitrary filter operations. As a specific example, a differentiation in frequency domain is demonstrated by using a simple binary mask. The proposed devise maybe useful for the optical filtering and shaping of ultra short pulses.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2006.06022]

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R. Holzwarth, Th. Odem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, "Optical frequency synthesizer for precision spectroscopy" Phys. Rev. Lett. 85, 2264-2267 (2000).

B. E. Nelson, A. Keeler, D. Agarwal, N. C. Helman, D. A. B. Miller, "Wavelength division multiplexed optical interconnect using short pulses" IEEE. J. Select. Topics Quantum Electron. 9, 486-491 (2003).

T. Kurokawa, K. Okamoto, K. Naganuma, H. Takenouchi, Y. Inoue and M. Ishii, "Time-space-conversion optical signal processing using arrayed-waveguide grating," Electron. Lett. 33, 1890-1891 (1997).

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J. P Laine, "Microring resonator channel dropping filters" J. Lightwave Technol. 15, 998-1005 (1997).

J. Jahns, A. W. Lohmann, "Temporal filtering by double diffraction" Appl. Opt, 43, 4339-4344 (2004).

R. G. Lyons, Understanding digital signal processing, (Prentice. Hall. PTR 2001).

H. F. Talbot, "An experiment on the interference of light" Phil. Mag. 10, 364 (1837).

J. Jahns, A. W. Lohmann, M. Bohling, "Talbot bands and temporal processing of optical signals" J. Eur. Opt. Soc-RP. 1, 06001 (2006).

G. Mínguez-Vega, J. Jahns, "Temporal processing with the montgomery interferometer" Opt. Commun. 236, 45-52 (2004).

C. Froehly, B. Colombeau, M. Vampouille, "Shaping and analysis of picosecond pulsesin", in Progress in optics, E. Wolf, ed., 20, 63-153 (North-Holland, Amsterdam, 1983).

A. M. Weiner, J. P. Heritage, E. M. Kirschner, "Encoding and decoding of femtosecond pulses," Opt. Lett. 13 300-302 (1988).

J. Jahns, A. Huang, "Planar integration of free-space optical components" Appl. Opt. 28, 1602-1605 (1989).