Temporal filtering for Montgomery self-imaging under dispersive transmission.

We present what we believe is a new method to introduce self-imaging properties under dispersive transmission of single or multiple light pulses with different temporal characteristics. By properly performing a temporal filtering into a given input signal it can produce an output signal having a spectral content satisfying the Montgomery condition, thereby allowing self-imaging of this signal under further dispersive transmission. An array of fiber loops performs the filtering operation on the input signal. We show some numerical simulations with a single light pulse as an input signal to verify the feasibility of the method and demonstrate the effects of the several involved parameters on both the pulse shape and the noise level.

[1]  A. Lohmann,et al.  Temporal filtering by double diffraction. , 2004, Applied optics.

[2]  M A Muriel,et al.  Temporal Talbot effect in fiber gratings and its applications. , 1999, Applied optics.

[3]  J. van Howe,et al.  Ultrafast optical signal processing based upon space-time dualities , 2006, Journal of Lightwave Technology.

[4]  A. Papoulis.  PULSE COMPRESSION, FIBER COMMUNICATIONS, AND DIFFRACTION : A UNIFIED APPROACH , 1994 .

[5]  A. Lohmann,et al.  Montgomery self-imaging effect using computer-generated diffractive optical elements , 2003 .

[6]  Temporal talbot effect applied to determine dispersion parameters , 2006 .

[7]  E. Leith,et al.  Stretch, time lenses, and incoherent time imaging. , 1995, Applied optics.

[8]  José Azaña,et al.  Temporal self-imaging effects for periodic optical pulse sequences of finite duration , 2003 .

[9]  Temporal processing with the Montgomery interferometer , 2004 .

[10]  W. Duane Montgomery,et al.  Self-Imaging Objects of Infinite Aperture* , 1967 .

[11]  Tomasz P. Jannson,et al.  Information capacity of Bragg holograms in planar optics , 1981 .

[12]  B. Kolner.  Space-time duality and the theory of temporal imaging , 1994 .

[13]  G. Indebetouw.  Polychromatic Self-imaging , 1988 .

[14]  C. Fernández-Pousa,et al.  Spectral analysis of the temporal self-imaging phenomenon in fiber dispersive lines , 2006, Journal of Lightwave Technology.

[15]  T. Jannson,et al.  Temporal self-imaging effect in single-mode fibers , 1981 .

[16]  José Azaña,et al.  General temporal self-imaging phenomena , 2003 .