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  • Editor: Alex Gaeta
  • Vol. 1, Iss. 1 — Jul. 2014
  • pp: 23–31

Time–bandwidth engineering

Bahram Jalali, Jacky Chan, and Mohammad H. Asghari  »View Author Affiliations

Optica, Vol. 1, Issue 1, pp. 23-31 (2014)

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We describe compression and expansion of the time–bandwidth product of signals and present tools to design optical data compression and expansion systems that solve bottlenecks in the real-time capture and generation of wideband data. Applications of this analog photonic transformation include more efficient ways to sample, digitize, and store optical data. Time–bandwidth engineering is enabled by the recently introduced Stretched Modulation ( S M ) Distribution function, a mathematical tool that describes the bandwidth and temporal duration of signals after arbitrary phase and amplitude transformations. We demonstrate design of time–bandwidth engineering systems in both near-field and far-field regimes that employ engineered group delay (GD), and we derive closed-form mathematical equations governing the operation of such systems. These equations identify an important criterion for the maximum curvature of warped GD that must be met to achieve time–bandwidth compression. We also show application of the S M Distribution to benchmark different GD profiles and to the analysis of tolerance to system nonidealities, such as GD ripples.

© 2014 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

Original Manuscript: April 2, 2014
Revised Manuscript: May 20, 2014
Manuscript Accepted: May 25, 2014
Published: July 22, 2014

Bahram Jalali, Jacky Chan, and Mohammad H. Asghari, "Time–bandwidth engineering," Optica 1, 23-31 (2014)

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