Abstract

A cascade conical diffraction system consisting of three optically biaxial KGd(WO4)2 crystals is considered. The effect of left- and right-handed circularly polarized incident light on the ring patterns produced away from the focal image plane of the system, the plane in which the incident beam waist would be focused if the crystals were isotropic, is investigated. Images and intensity distributions for scaled distances (ζ values) of 2.75, 3.00, and 3.25 from the focal image plane are presented. A discrepancy between the patterns produced depending on the handedness of the incident beam is observed in agreement with the recent theoretical predictions.

© 2012 Optical Society of America

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References

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2012 (1)

2011 (3)

2010 (3)

2009 (1)

2007 (2)

V. V. Filipov, N. V. Kuleshov, and I. T. Bodnar, Appl. Phys. B 87, 611 (2007).
[CrossRef]

M. V. Berry and M. R. Jeffrey, Prog. Opt. 50, 13 (2007).
[CrossRef]

2006 (2)

M. V. Berry, M. R. Jeffrey, and L. G. Lunney, Proc. R. Soc. A 462, 1629 (2006).
[CrossRef]

J. G. Lunney and D. W. Weaire, Europhys. News 37 (3), 26 (2006).
[CrossRef]

2004 (1)

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

1978 (1)

A. M. Belskii and A. P. Khapaluyk, Opt. Spectrosc. 44, 436 (1978).

1942 (1)

C. V. Raman, Nature 149, 552 (1942).
[CrossRef]

1833 (2)

W. R. Hamilton, Trans. R. Irish Acad. 17, 1 (1833).

H. Lloyd, Trans. R. Irish Acad. 17, 145 (1833).

Abdolvand, A.

Ballantine, K. E.

Belskii, A. M.

A. M. Belskii and A. P. Khapaluyk, Opt. Spectrosc. 44, 436 (1978).

Berry, M. V.

M. V. Berry, J. Opt. 12, 074704 (2010).
[CrossRef]

M. V. Berry and M. R. Jeffrey, Prog. Opt. 50, 13 (2007).
[CrossRef]

M. V. Berry, M. R. Jeffrey, and L. G. Lunney, Proc. R. Soc. A 462, 1629 (2006).
[CrossRef]

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

Bodnar, I. T.

V. V. Filipov, N. V. Kuleshov, and I. T. Bodnar, Appl. Phys. B 87, 611 (2007).
[CrossRef]

Donegan, J. F.

Eastham, P. R.

Filipov, V. V.

V. V. Filipov, N. V. Kuleshov, and I. T. Bodnar, Appl. Phys. B 87, 611 (2007).
[CrossRef]

Hamilton, W. R.

W. R. Hamilton, Trans. R. Irish Acad. 17, 1 (1833).

Jeffrey, M. R.

M. V. Berry and M. R. Jeffrey, Prog. Opt. 50, 13 (2007).
[CrossRef]

M. V. Berry, M. R. Jeffrey, and L. G. Lunney, Proc. R. Soc. A 462, 1629 (2006).
[CrossRef]

Kalkandjiev, T. K.

Khapaluyk, A. P.

A. M. Belskii and A. P. Khapaluyk, Opt. Spectrosc. 44, 436 (1978).

Kuleshov, N. V.

V. V. Filipov, N. V. Kuleshov, and I. T. Bodnar, Appl. Phys. B 87, 611 (2007).
[CrossRef]

Lloyd, H.

H. Lloyd, Trans. R. Irish Acad. 17, 145 (1833).

Lunney, J. G.

Lunney, L. G.

M. V. Berry, M. R. Jeffrey, and L. G. Lunney, Proc. R. Soc. A 462, 1629 (2006).
[CrossRef]

O'Dwyer, D. P.

Pakovich, Y. P.

Peet, V.

Phelan, C. F.

Rafailov, E. U.

Raman, C. V.

C. V. Raman, Nature 149, 552 (1942).
[CrossRef]

Weaire, D. W.

J. G. Lunney and D. W. Weaire, Europhys. News 37 (3), 26 (2006).
[CrossRef]

Wilcox, K. G.

Appl. Phys. B (2)

A. Abdolvand, Appl. Phys. B 103, 281 (2011).
[CrossRef]

V. V. Filipov, N. V. Kuleshov, and I. T. Bodnar, Appl. Phys. B 87, 611 (2007).
[CrossRef]

Europhys. News (1)

J. G. Lunney and D. W. Weaire, Europhys. News 37 (3), 26 (2006).
[CrossRef]

J. Opt. (2)

V. Peet, J. Opt. 12, 095706 (2010).
[CrossRef]

M. V. Berry, J. Opt. 12, 074704 (2010).
[CrossRef]

J. Opt. A (1)

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

Nature (1)

C. V. Raman, Nature 149, 552 (1942).
[CrossRef]

Opt. Express (4)

Opt. Lett. (1)

Opt. Spectrosc. (1)

A. M. Belskii and A. P. Khapaluyk, Opt. Spectrosc. 44, 436 (1978).

Proc. R. Soc. A (1)

M. V. Berry, M. R. Jeffrey, and L. G. Lunney, Proc. R. Soc. A 462, 1629 (2006).
[CrossRef]

Prog. Opt. (1)

M. V. Berry and M. R. Jeffrey, Prog. Opt. 50, 13 (2007).
[CrossRef]

Trans. R. Irish Acad. (2)

W. R. Hamilton, Trans. R. Irish Acad. 17, 1 (1833).

H. Lloyd, Trans. R. Irish Acad. 17, 145 (1833).

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Figures (2)

Fig. 1.
Fig. 1.

Experimental setup. λ/4 is a quarter-wave plate, the lens had a focal length of 200 mm, CDC (1–3) are the conical diffraction crystals of increasing length and the beam profiler was used to capture the images. The arrows indicate the relative orientations of the crystals at 0, λ/4, and λ/2.

Fig. 2.
Fig. 2.

Ring patterns and intensity profiles at (a) the ring plane and ζ values of 2.75, 3.00, and 3.25 for (b), (c), and (d), respectively. The image at the ring plane remains unchanged for both LCP and RCP while variations in intensity and the appearance of a central spot can be seen for LCP in each of the images away from the ring plane.

Equations (1)

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ζ=1kω2(z+n=1Nln(1μn1)),

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