Abstract

We explore the diffraction and propagation of Laguerre- Gaussian beams of varying azimuthal index past a circular obstacle both experimentally and numerically. When the beam and obstacle centers are aligned the famous spot of Arago, which arises for zero azimuthal index, is replaced for non-zero azimuthal indices by a dark spot of Arago, a simple consequence of the conserved phase singularity at the beam center. We explore how the dark spot of Arago behaves as the beam and obstacle centers are progressively misaligned, and find that the central dark spot may break into several dark spots of Arago for higher incident azimuthal index beams.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2006

2004

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, "Uncertainty principle for angular position and angular momentum," New J. Phys. 6, 103 (2004).
[CrossRef]

2003

2002

G. Molina-Terriza, D. V. Petrov, J. Recolons, and L. Torner, "Observation of optical vortex streets in walking second-harmonic generation," Opt. Lett. 27, 625-627 (2002).
[CrossRef]

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, "An experimental apparatus for white light imaging by means of a spherical obstacle," Am. J. Phys. 70, 169-172 (2002).
[CrossRef]

D. Chauvat, O. Emile, M. Brunel, and A. Le Floch, "Direct measurement of the central fringe velocity in Young-type experiments," Phys. Lett. A 295, 78-80 (2002).
[CrossRef]

2001

K. Uno, M. Suzuki, and K. Fujii, "Experimental analysis of classical Arago point with white-light laser," Jpn. J. Appl. Phys., Part 2 40, L872-L874 (2001).
[CrossRef]

1999

1997

1989

E. A. Hovenac, "Fresnel Diffraction by Spherical Obstacles," Am. J. Phys. 57, 79-84 (1989).
[CrossRef]

1984

J. E. Harvey, and J. L. Forgham, "The Spot of Arago - New Relevance for an Old Phenomenon," Am. J. Phys. 52, 243-247 (1984).
[CrossRef]

Am. J. Phys.

J. E. Harvey, and J. L. Forgham, "The Spot of Arago - New Relevance for an Old Phenomenon," Am. J. Phys. 52, 243-247 (1984).
[CrossRef]

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, "An experimental apparatus for white light imaging by means of a spherical obstacle," Am. J. Phys. 70, 169-172 (2002).
[CrossRef]

E. A. Hovenac, "Fresnel Diffraction by Spherical Obstacles," Am. J. Phys. 57, 79-84 (1989).
[CrossRef]

Jpn. J. Appl. Phys

K. Uno, M. Suzuki, and K. Fujii, "Experimental analysis of classical Arago point with white-light laser," Jpn. J. Appl. Phys., Part 2 40, L872-L874 (2001).
[CrossRef]

New J. Phys.

S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, "Uncertainty principle for angular position and angular momentum," New J. Phys. 6, 103 (2004).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Lett. A

D. Chauvat, O. Emile, M. Brunel, and A. Le Floch, "Direct measurement of the central fringe velocity in Young-type experiments," Phys. Lett. A 295, 78-80 (2002).
[CrossRef]

Other

J. W. Goodman, Introduction to Fourier Optics (Roberts & Co, 2005).

M. Born, and E. Wolf, in Principles of Optics (Pergamon, Oxford, 1990).

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