Interferometer setup for the observation of polarization structure near the unfolding point of an optical vortex beam in a birefringent crystal

doi:10.1364/OE.20.013573

Interferometer setup for the observation of polarization structure near the unfolding point of an optical vortex beam in a birefringent crystal

Maruthi M. Brundavanam, Yoko Miyamoto, Rakesh Kumar Singh, Dinesh N. Naik, Mitsuo Takeda, and Ken’ichi Nakagawa »View Author Affiliations

Optics Express, Vol. 20, Issue 12, pp. 13573-13581 (2012)
http://dx.doi.org/10.1364/OE.20.013573

View Full Text Article

Enhanced HTML Acrobat PDF (1314 KB)

Journal Search
Article Lookup

Article Tools

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (18)
Cited By
Figures (7)
Metrics
Related Content

Abstract

We propose a novel birefringent interferometer setup for the study of unfolding points, and obtain for the first time to our knowledge the spatial polarization structure very near the unfolding point of a uniformly polarized optical vortex beam propagating in a birefringent crystal. The unfolding point is reconstructed by folding back the two separated eigen-beams at the output of the birefringent crystal into a single beam using another identical birefringent crystal, resulting in a birefringent interferometer of Mach-Zehnder type. We also demonstrate that the separation near the unfolding point can be varied by a small rotation of the second crystal.

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(230.5440) Optical devices : Polarization-selective devices
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization
(050.4865) Diffraction and gratings : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 2, 2012
Revised Manuscript: May 19, 2012
Manuscript Accepted: May 24, 2012
Published: June 1, 2012

Citation
Maruthi M. Brundavanam, Yoko Miyamoto, Rakesh Kumar Singh, Dinesh N. Naik, Mitsuo Takeda, and Ken’ichi Nakagawa, "Interferometer setup for the observation of polarization structure near the unfolding point of an optical vortex beam in a birefringent crystal," Opt. Express 20, 13573-13581 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-12-13573

Sort: Author | Year | Journal | Reset

References

M. S. Soskin and M. Vasnetsov, “Singular optics,” Prog. Opt.42, 219–276 (2001).
J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (IoP Publishing, 1999).
M. R. Dennis, “Polarization singularities in paraxial vector fields: morphology and statistics,” Opt. Commun.213(4-6), 201–221 (2002).
A. Nesci, R. Dändliker, M. Salt, and H. P. Herzig, “Measuring amplitude and phase distribution of fields generated by gratings with sub-wavelength resolution,” Opt. Commun.205(4-6), 229–238 (2002).
M. V. Berry, M. R. Dennis, and R. L. Lee, Jr., “Polarization singularities in the clear sky,” New J. Phys.6, 162 (2004).
A. Desyatnikov, T. A. Fadeyeva, V. G. Shvedov, Y. V. Izdebskaya, A. V. Volyar, E. Brasselet, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Spatially engineered polarization states and optical vortices in uniaxial crystals,” Opt. Express18(10), 10848–10863 (2010).
F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Polarization singularities from unfolding an optical vortex through a birefringent crystal,” Phys. Rev. Lett.95(25), 253901 (2005).
F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express14(23), 11402–11411 (2006).
X. D. Xu, P. K. Kuo, S. Y. Zhang, X. J. Shui, and Z. N. Zhang, “Application of an optical birefringence interferometer to photothermal detection,” Microw. Opt. Technol. Lett.35(2), 140–143 (2002).
C. Cheng, “The signal processing approach for the birefringent material based Mach-Zehnder interferometer design,” Proc. of IEEE, 48th Midwest Symposium on Circuits and Systems (Covington, Kentucky, 2005), 211–214, 10.1109/MWSCAS.2005.1594076. [CrossRef]
J. L. O’Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature426(6964), 264–267 (2003).
A. Yariv and P. Yeh, Optical Waves in Crystals (John Wiley & Sons, 1984).
E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, 1993).
Y. Miyamoto, M. Masuda, A. Wada, and M. Takeda, “Electron-beam lithography fabrication of phase holograms to generate Laguerre-Gaussian beams,” Proc. SPIE3740, 232–235 (1999).
http://www.castech.com/products_detail/&productId=61213567-1e08-41a0-9ac2-0d61b8c01db1.html.
T. Fadeyeva, Y. Egorov, A. Rubass, G. A. Swartzlander, Jr., and A. Volyar, “Indistinguishability limit for off-axis vortex beams in uniaxial crystals,” Opt. Lett.32(21), 3116–3118 (2007).
T. Kihara, “Measurement method of Stokes parameters using a quarter-wave plate with phase difference errors,” Appl. Opt.50(17), 2582–2587 (2011).
U. T. Schwarz, F. Flossmann, and M. R. Dennis, “Topology of generic polarization singularities in birefringent crystals,” Topologica2, 006 (2009), [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.

Click here to see a list of articles that cite this paper

Figures


Fig. 1	Fig. 2	Fig. 3


Fig. 4	Fig. 5	Fig. 6


Fig. 7

« Previous Article | Next Article »

OSA is a member of CrossRef.

[1] M. S. Soskin and M. Vasnetsov, “Singular optics,” Prog. Opt.42, 219–276 (2001).

[2] J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (IoP Publishing, 1999).

[3] M. R. Dennis, “Polarization singularities in paraxial vector fields: morphology and statistics,” Opt. Commun.213(4-6), 201–221 (2002).

[4] A. Nesci, R. Dändliker, M. Salt, and H. P. Herzig, “Measuring amplitude and phase distribution of fields generated by gratings with sub-wavelength resolution,” Opt. Commun.205(4-6), 229–238 (2002).

[5] M. V. Berry, M. R. Dennis, and R. L. Lee, Jr., “Polarization singularities in the clear sky,” New J. Phys.6, 162 (2004).

[6] A. Desyatnikov, T. A. Fadeyeva, V. G. Shvedov, Y. V. Izdebskaya, A. V. Volyar, E. Brasselet, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Spatially engineered polarization states and optical vortices in uniaxial crystals,” Opt. Express18(10), 10848–10863 (2010).

[7] F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Polarization singularities from unfolding an optical vortex through a birefringent crystal,” Phys. Rev. Lett.95(25), 253901 (2005).

[8] F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express14(23), 11402–11411 (2006).

[9] X. D. Xu, P. K. Kuo, S. Y. Zhang, X. J. Shui, and Z. N. Zhang, “Application of an optical birefringence interferometer to photothermal detection,” Microw. Opt. Technol. Lett.35(2), 140–143 (2002).

[10] C. Cheng, “The signal processing approach for the birefringent material based Mach-Zehnder interferometer design,” Proc. of IEEE, 48th Midwest Symposium on Circuits and Systems (Covington, Kentucky, 2005), 211–214, 10.1109/MWSCAS.2005.1594076. [CrossRef]

[11] J. L. O’Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature426(6964), 264–267 (2003).

[12] A. Yariv and P. Yeh, Optical Waves in Crystals (John Wiley & Sons, 1984).

[13] E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, 1993).

[14] Y. Miyamoto, M. Masuda, A. Wada, and M. Takeda, “Electron-beam lithography fabrication of phase holograms to generate Laguerre-Gaussian beams,” Proc. SPIE3740, 232–235 (1999).

[15] http://www.castech.com/products_detail/&productId=61213567-1e08-41a0-9ac2-0d61b8c01db1.html.

[16] T. Fadeyeva, Y. Egorov, A. Rubass, G. A. Swartzlander, Jr., and A. Volyar, “Indistinguishability limit for off-axis vortex beams in uniaxial crystals,” Opt. Lett.32(21), 3116–3118 (2007).

[17] T. Kihara, “Measurement method of Stokes parameters using a quarter-wave plate with phase difference errors,” Appl. Opt.50(17), 2582–2587 (2011).

[18] U. T. Schwarz, F. Flossmann, and M. R. Dennis, “Topology of generic polarization singularities in birefringent crystals,” Topologica2, 006 (2009), [CrossRef]

OpticsInfoBase

Optics Express

Interferometer setup for the observation of polarization structure near the unfolding point of an optical vortex beam in a birefringent crystal