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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 13 — Jul. 1, 2013
  • pp: 15538–15552

Adjustable and robust methods for polarization-dependent focusing

David Schmid, Ting-Yu Huang, Shiraz Hazrat, Radhika Dirks, Onur Hosten, Stephan Quint, Dickson Thian, and Paul G. Kwiat  »View Author Affiliations

Optics Express, Vol. 21, Issue 13, pp. 15538-15552 (2013)

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We present two methods for the precise independent focusing of orthogonal linear polarizations of light at arbitrary relative locations. Our first scheme uses a displaced lens in a polarization Sagnac interferometer to provide adjustable longitudinal and lateral focal displacements via simple geometry; the second uses uniaxial crystals to achieve the same effect in a compact collinear setup. We develop the theoretical applications and limitations of our schemes, and provide experimental confirmation of our calculations.

© 2013 OSA

OCIS Codes
(220.1000) Optical design and fabrication : Aberration compensation
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: April 2, 2013
Manuscript Accepted: May 13, 2013
Published: June 21, 2013

David Schmid, Ting-Yu Huang, Shiraz Hazrat, Radhika Dirks, Onur Hosten, Stephan Quint, Dickson Thian, and Paul G. Kwiat, "Adjustable and robust methods for polarization-dependent focusing," Opt. Express 21, 15538-15552 (2013)

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  22. To see this, one can find the necessary lens displacement d for a given application by comparing the final beam waist wout,2 = √[λαf22/π(α2 + d2)] for two lenses with the final beam waist wout,1 = λf1/πw for one lens. For example, assume we want to achieve a focal size β times smaller than that possible with a single lens, so that β = wout,1/wout,2.Solving this equality for d gives d = √[(βf2)2 - α2]. If, then, we wish to focus five times more tightly (i.e., the desired beam waist is 5 times smaller than it was with only one lens), then d will be greater than 50, well within the range of validity of our equations.
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