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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 26 — Dec. 25, 2006
  • pp: 12751–12759

Optics InfoBase > Optics Express > Volume 14 > Issue 26 > Page 12751

Theory of two beam interference with arbitrary spectra

Zhilin Hu and Andrew M. Rollins  »View Author Affiliations


Optics Express, Vol. 14, Issue 26, pp. 12751-12759 (2006)
http://dx.doi.org/10.1364/OE.14.012751


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Abstract

A new formulation describing the interference term of a two beam interferometer with unequal Gaussian spectra propagating in different dispersive media is provided by defining a composite standard deviation and a composite center frequency of the interfering spectra. This formulation is generalized to arbitrary spectra by decomposing each spectrum into a linear composition of Gaussian distributions. The effective phase and group delays indicate the effect of the unequal spectral distributions and the dispersive media. An effective coherence length is derived, different than the coherence lengths of the interfering fields. The accuracy of the new formulation is proven experimentally by using optical coherence tomography systems.

© 2006 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(110.4500) Imaging systems : Optical coherence tomography
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(170.3890) Medical optics and biotechnology : Medical optics instrumentation

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: October 4, 2006
Revised Manuscript: December 14, 2006
Manuscript Accepted: December 14, 2006
Published: December 22, 2006

Virtual Issues
Vol. 2, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Zhilin Hu and Andrew M. Rollins, "Theory of two beam interference with arbitrary spectra," Opt. Express 14, 12751-12759 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-12751


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