OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 16 — Jun. 1, 2012
  • pp: 3364–3369

Weak value amplification of an optical Faraday differential refraction effect

A. D. Parks and S. E. Spence  »View Author Affiliations


Applied Optics, Vol. 51, Issue 16, pp. 3364-3369 (2012)
http://dx.doi.org/10.1364/AO.51.003364


View Full Text Article

Enhanced HTML    Acrobat PDF (276 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In the presence of a longitudinal magnetic field B , a beam of linearly polarized light incident from a Faraday medium of Verdet constant V refracts at its interface with a medium of negligible Verdet constant and emerges as two opposite circularly polarized beams that are separated by a small divergence angle δ that is proportional to the product B V . Judicious postselection of the polarization state of the emergent light can be used to amplify the measured value of δ by several orders of magnitude. This technique makes it possible to optically measure either very small V values when B is known or small magnetic fields when V is known.

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.5710) Instrumentation, measurement, and metrology : Refraction
(260.1440) Physical optics : Birefringence
(270.0270) Quantum optics : Quantum optics
(270.1670) Quantum optics : Coherent optical effects
(160.1585) Materials : Chiral media

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: December 20, 2011
Manuscript Accepted: February 7, 2012
Published: May 30, 2012

Citation
A. D. Parks and S. E. Spence, "Weak value amplification of an optical Faraday differential refraction effect," Appl. Opt. 51, 3364-3369 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-16-3364


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Ghosh, W. Hill, and P. Fischer, “Observation of the Faraday effect via beam deflection in a longitudinal magnetic field,” Phys. Rev. A 76, 055402 (2007). [CrossRef]
  2. Y. Aharonov, D. Albert, A. Casher, and L. Vaidman, “Novel properties of preselected and postselected ensembles,” Ann. N.Y. Acad. Sci. 480, 417–421 (1986). [CrossRef]
  3. Y. Aharonov, D. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin 1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988). [CrossRef]
  4. Y. Aharonov and L. Vaidman, “Properties of a quantum system during the time interval between two measurements,” Phys. Rev. A 41, 11–20 (1990). [CrossRef]
  5. N. Ritchie, J. Storey, and R. Hulet, “Realization of a measurement of a ‘weak value’,” Phys. Rev. Lett. 66, 1107–1110 (1991). [CrossRef]
  6. A. Parks, D. Cullin, and D. Stoudt, “Observation and measurement of an optical Aharonov–Albert–Vaidman effect,” Proc. R. Soc. A 454, 2997–3008 (1998). [CrossRef]
  7. K. Resch, J. Lundeen, and A. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004). [CrossRef]
  8. Q. Wang, F. Sun, Y. Zhang, J. Li, Y. Huang, and G. Guo, “Experimental demonstration of a method to realize weak measurements of the arrival time of a single photon,” Phys. Rev. A 73, 023814 (2006). [CrossRef]
  9. O. Hosten and P. Kwiat, “Observation of the spin Hall effect of light via weak measurements,” Science 319, 787–790 (2008). [CrossRef]
  10. I. Duck, P. Stevenson, and E. Sudarshan, “The sense in which a ‘weak measurement’ of a spin 1/2 particle’s spin component yields a value of 100,” Phys. Rev. D 40, 2112–2117 (1989). [CrossRef]
  11. N. Brunner and C. Simon, “Measuring small longitudinal phase shifts: weak measurement or standard interferometry,” Phys. Rev. Lett. 105, 010405 (2010). [CrossRef]
  12. A. Parks and J. Gray, “Variance control in weak-value measurement pointers,” Phys. Rev. A 84, 012116 (2011). [CrossRef]
  13. B. Carnahan, H. Luther, and J. Wilkes, Applied Numerical Methods (Wiley, 1969), p. 171–175.
  14. M. Pfeifer and P. Fischer, “Weak value amplified optical activity measurements,” Opt. Express 19, 16508–16517 (2011). [CrossRef]
  15. S. Wu and Y. Li, “Weak measurements beyond the Aharonov–Albert–Vaidman formalism,” Phys. Rev. A 83, 052106 (2011). [CrossRef]

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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited