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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 36, Iss. 6 — Mar. 15, 2011
  • pp: 915–917

On the interrelations between an optical differentiator and an optical Hilbert transformer

Nam Quoc Ngo and Yufeng Song  »View Author Affiliations


Optics Letters, Vol. 36, Issue 6, pp. 915-917 (2011)
http://dx.doi.org/10.1364/OL.36.000915


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Abstract

We show analytically and numerically that a practically realizable first-order optical Hilbert transformer (OHT) can simultaneously function as a negative/positive first-order temporal optical differentiator (OD) in the stopband and a broadband ± 90 ° phase shifter in the passbands. An integrated-optic OHT based on a four-tap finite impulse response filter is designed using the Remez iteration algorithm and is numerically verified.

© 2011 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(200.4740) Optics in computing : Optical processing

ToC Category:
Ultrafast Optics

History
Original Manuscript: August 19, 2010
Revised Manuscript: November 29, 2010
Manuscript Accepted: December 28, 2010
Published: March 10, 2011

Citation
Nam Quoc Ngo and Yufeng Song, "On the interrelations between an optical differentiator and an optical Hilbert transformer," Opt. Lett. 36, 915-917 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-6-915

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