Skip to main content

Heterodyne Techniques for Characterizing Light Fields

  • Reference work entry
  • First Online:
Handbook of Coherent Domain Optical Methods
  • 688 Accesses

Abstract

We give an overview of optical heterodyne techniques, which provide phasesensitive methods to characterize light fields with a high signal-to-noise ratio and a large dynamic range. We present basic applications such as OCT, OCM and CDOCT. We then introduce Wigner functions, which fully characterize a light field including its coherence properties, and demonstrate two techniques which enable the measurement of smoothed (One-Window method) and true Wigner functions (Two-Window technique). We conclude this chapter with the characterization of a Gaussian-Schell beam, an enhanced-backscattered field and a single speckle, using the Two-Window technique.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 199.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    1 The Rayleigh length is the distance after which a beam passing through its beamwaist grows to twice its area. It is inversely proportional to the size of the beamwaist.

  2. 2.

    2 This is non-trivial since the depth-dependent refractive index in the sample influences the depth of the focal plane, which has to be taken into account when adjusting the relative path delay between the signal- and local oscillator beam.

References to Heterodyne Techniques for Characterizing Light Fields

  • J. A. Izatt, M. D. Kulkarni, K. Kobayashi, M. V. Sivak, J. K. Barton, and A. J. Welsh, “Optical coherence tomography for biodiagnostics,” Optics & Photonics News 41–47 (May 1997).

    Google Scholar 

  • J. A. Izatt and M. D. Kulkarni, “Doppler flow imaging using optical coherence tomography,” OSA Conference on Lasers and Electro-Optics, Anaheim, CA, 1006, post-deadline paper CPD3-1 (1996).

    Google Scholar 

  • Z. Chen, T. E. Milner, D. Dave, and J. S. Nelson, “Optical Doppler tomographic imaging of fluid flow velocity in highly scattering media,” Opt. Lett. 22, 64–66 (1997).

    Article  ADS  Google Scholar 

  • A. Wax, S. Bali, G. A. Alphonse, and J. E. Thomas, “Characterizing the coherence of broadband sources using optical phase space contours,” J. Biomed. Opt. 4, 482–489 (1999).

    Article  ADS  Google Scholar 

  • A. Wax, S. Bali, and J. E. Thomas, “Optical phase space distributions for low-coherence light,” Opt. Lett. 24, 1188–1190 (1999).

    Article  ADS  Google Scholar 

  • M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986).

    Article  ADS  Google Scholar 

  • C.-C. Cheng and M. G. Raymer, “Long-range saturation of spatial decoherence in wave-field transport in random multiple-scattering media,” Phys. Rev. Lett. 82, 4807–4810 (1999).

    Article  ADS  Google Scholar 

  • L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).

    Book  Google Scholar 

  • A. Wax, “Optical phase space distributions for coherence tomography,” Ph.D. Dissertation (Duke University, Durham, 1999).

    Google Scholar 

  • F. Reil, “Two-window heterodyne methods to characterize light fields,” Ph.D. Dissertation (Duke University, Durham, 2003).

    Google Scholar 

  • K. F. Lee, F. Reil, S. Bali, A. Wax, and J. E. Thomas, “Heterodyne measurement of Wigner distributions for classical optical fields,” Opt. Lett. 24, 1370–1372 (1999).

    Article  ADS  Google Scholar 

  • M. van Albada and A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett. 55 2692–2695 (1985).

    Article  ADS  Google Scholar 

  • P. E. Wolf and G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett. 55 2696–2699 (1985).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Reil, F., Thomas, J.E. (2004). Heterodyne Techniques for Characterizing Light Fields. In: Tuchin, V.V. (eds) Handbook of Coherent Domain Optical Methods. Springer, New York, NY. https://doi.org/10.1007/0-387-29989-0_8

Download citation

  • DOI: https://doi.org/10.1007/0-387-29989-0_8

  • Published:

  • Publisher Name: Springer, New York, NY

  • Online ISBN: 978-0-387-29989-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics