OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 4 — Apr. 1, 1998
  • pp: 914–923

Complex degree of spectral coherence and spectral changes measured by two-beam interference experiments in the space-frequency domain

Hidenobu Arimoto and Yoshihiro Ohtsuka  »View Author Affiliations


JOSA A, Vol. 15, Issue 4, pp. 914-923 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000914


View Full Text Article

Acrobat PDF (328 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A variety of the complex degree of spectral coherence μ is provided for investigating the correlation-induced spectral changes resulting from two-beam interference in the space-frequency domain. Primary two-point sources with variant Gaussian-like spectra illuminate the secondary source plane across which spatially, partially coherent wave fields result to produce μ. The variational aspects of μ are controllable by the primary source parameters. The spectral changes are discussed in detail in association with the μ-dependent interference term. The argument of μ plays a particularly important role in asymmetric changes in spectrum.

© 1998 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(300.0300) Spectroscopy : Spectroscopy
(300.6170) Spectroscopy : Spectra

Citation
Hidenobu Arimoto and Yoshihiro Ohtsuka, "Complex degree of spectral coherence and spectral changes measured by two-beam interference experiments in the space-frequency domain," J. Opt. Soc. Am. A 15, 914-923 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-4-914


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. E. Wolf, “Invariance of spectrum of light on propagation,” Phys. Rev. Lett. 56, 1370–1372 (1986).
  2. E. Wolf, “Non-cosmological redshifts of spectral lines,” Nature (London) 326, 363–365 (1987).
  3. E. Wolf, “Redshifts and blueshifts of spectral lines caused by source correlations,” Opt. Commun. 62, 12–16 (1987).
  4. E. Wolf, “Red shifts and blue shifts of spectral lines emitted by two correlated sources,” Phys. Rev. Lett. 58, 2646–2648 (1987).
  5. Z. Dacic and E. Wolf, “Changes in the spectrum of a partially coherent light beam propagation in free space,” J. Opt. Soc. Am. A 5, 1118–1126 (1988).
  6. A. Gamliel and G. P. Agrawal, “Wolf effect in homogeneous and inhomogeneous media,” J. Opt. Soc. Am. A 7, 2184–2192 (1990).
  7. G. Agrawal and A. Gamliel, “Spectrum of partially coherent light: transmission from near to far zone,” Opt. Commun. 78, 1–6 (1990).
  8. Y. Ohtsuka, “Spectrum invariance for a particular class of optical fields propagated in far zone,” Opt. Rev. 2, 347–351 (1995).
  9. T. Shirai and T. Asakura, “Multiple light scattering from spatially random media under the second-order Born approximation,” Opt. Commun. 105, 22 (1994).
  10. G. M. Morris and D. Faklis, “Effects of source correlations on the spectrum of light,” Opt. Commun. 62, 5–11 (1987).
  11. D. Faklis and G. M. Morris, “Spectral shifts produced by source correlations,” Opt. Lett. 13, 4–6 (1988).
  12. F. Gori, G. Guattari, C. Palma, and C. Padovani, “Observation of optical redshifts and blueshifts produced by source correlations,” Opt. Commun. 67, 1–4 (1988).
  13. H. C. Kandpal, J. S. Vaishya, and K. C. Joshi, “Spectral shift due to source correlation for paraxial rays,” Opt. Commun. 79, 270–272 (1990).
  14. K. C. Joshi, H. C. Kandpal, and J. S. Vaishya, “Spectral shift due to source correlation in conventional spectroradiometric measurements,” Appl. Opt. 30, 1471–1474 (1991).
  15. J. Rai, S. Rai, and S. Chopra, “Source-correlation effects in the time domain,” Phys. Rev. A 47, 4400–4403 (1993).
  16. K. Saxena, D. S. Mehta, H. C. Kandpal, T. S. Vaishya, and K. C. Joshi, “Experimental studies of field correlations using spectral interferometric technique,” Opt. Commun. 111, 423–426 (1994).
  17. H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, “Intensity distribution across a source from spectral measurements,” J. Mod. Opt. 42, 455–464 (1995).
  18. H. C. Kandpal, J. S. Vaishya, and K. C. Joshi, “Correlation-induced spectral shifts in optical measurements,” Opt. Eng. 33, 1996–2012 (1994).
  19. E. Wolf and D. F. V. James, “Correlation-induced spectral changes,” Rep. Prog. Phys. 59, 771–818 (1996).
  20. L. Mandel and E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” J. Opt. Soc. Am. 66, 529–535 (1976).
  21. H. Arimoto and Y. Ohtsuka, “Measurements of the complex degree of spectral coherence by use of a wave-front-folded interferometer,” Opt. Lett. 22, 958–960 (1997).
  22. G. S. Agrawal and D. F. V. James, “Spectral changes in the Mach Zehnder interferometer,” J. Mod. Opt. 40, 1431–1436 (1993).
  23. D. N. Rao and V. N. Kumar, “Experimental demonstration of spectral modification in a Mach-Zehnder interferometer,” J. Mod. Opt. 41, 1757–1763 (1994).
  24. D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, “Displacement measurements from coherence-induced spectral changes in a Mach-Zehnder interferometer,” Opt. Commun. 119, 352–360 (1995).
  25. D. F. V. James and E. Wolf, “Determination of field correlations from spectral measurements with application to synthetic aperture imaging,” Radio Sci. 26, 1239–1243 (1991).
  26. H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, “Angular separation of a pair of sources by spectral interferometric technique,” J. Mod. Opt. 42, 447–454 (1995).
  27. Y. Ohtsuka, M. Kamada, and S. Tanaka, “Correlation-induced spectral changes dependent upon spatiotemporal interference effects,” Opt. Rev. 3, 153–160 (1995).
  28. J. T. Foley, “Effect of an aperture on the spectrum of partially coherent light,” J. Opt. Soc. Am. A 8, 1099–1105 (1991).
  29. K. A. Nugent, “Radiometric measurements and correlation-induced spectral changes,” Metrologia 29, 319–324 (1992).
  30. K. D. Mielenz, “‘Wolf shifts’ and their physical interpretation under laboratory conditions,” J. Res. Natl. Inst. Stand. Technol. 98, 231–240 (1993).
  31. E. Wolf, T. Shirai, H. Chen, and W. Wang, “Coherence filters and their uses,” J. Mod. Opt. 44, 1345–1353 (1997).
  32. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited