Abstract

The spectral behavior of polychromatic spatially fully coherent light diffracted by an annular aperture in the far field is studied. It is shown that the spectrum in the far field is generally different from that at the aperture, i.e., the spectrum in the far field is proportional to the spectrum at the aperture and a spectral modifier, which depends on the central obstruction ratio ? and diffraction angle ?. Detailed numerical calculation results indicate that significant spectral changes take place in the vicinity of zeros of the Airy pattern. It is found that at the critical diffraction angle ?c, the spectrum is split into two lines, while at a diffraction angle a little smaller than ?c, the spectrum is red-shifted, and at a diffraction angle a little larger than ?c, the spectrum is blue-shifted. The influence of the central obstruction ratio on the spectral anomalies is presented.

© 2005 Chinese Optics Letters

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2004 (2)

J.-X. Pu and C. Cai, Chin. Phys. Lett. 21, 1268 (2004).

J. Pu, C. Cai, and S. Nemoto, Chin. Opt. Lett. 2, 239 (2004).

2003 (5)

J. Pu, S. Nemoto, and B. Lu, J. Opt. Soc. Am. A 20, 1933 (2003).

L. Z. Pan and B. D. Lu, Acta Opt. Sin. (in Chinese) 23, 707 (2003).

L. Wang and Q. Lin, IEEE J. Quantum Electron. 39, 749 (2003).

L. Pan and B. Lu, Opt. Laser Technol. 36, 501 (2003).

T. D. Visser and E. Wolf, J. Opt. A: Pure and Appl. Opt. 5, 371 (2003).

2002 (4)

2001 (1)

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).

1998 (1)

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

1997 (1)

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

1974 (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).

1970 (1)

Anand, S.

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).

Cai, C.

J.-X. Pu and C. Cai, Chin. Phys. Lett. 21, 1268 (2004).

J. Pu, C. Cai, and S. Nemoto, Chin. Opt. Lett. 2, 239 (2004).

Chen, H.

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

Collins, S. A.

Gbur, G.

G. Gbur, T. D. Visser, and E. Wolf, J. Opt. Soc. Am. A 19, 1694 (2002).

G. Gbur, T. D. Visser, and E. Wolf, Phys. Rev. Lett. 88, 013901 (2002).

Kandpal, H. C.

Lin, Q.

L. Wang and Q. Lin, IEEE J. Quantum Electron. 39, 749 (2003).

Lu, B.

L. Pan and B. Lu, Opt. Laser Technol. 36, 501 (2003).

J. Pu, S. Nemoto, and B. Lu, J. Opt. Soc. Am. A 20, 1933 (2003).

Lu, B. D.

L. Z. Pan and B. D. Lu, Acta Opt. Sin. (in Chinese) 23, 707 (2003).

Nemoto, S.

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).

Pan, L.

L. Pan and B. Lu, Opt. Laser Technol. 36, 501 (2003).

Pan, L. Z.

L. Z. Pan and B. D. Lu, Acta Opt. Sin. (in Chinese) 23, 707 (2003).

Ponomarenko, S. A.

Pu, J.

Pu, J.-X.

J.-X. Pu and C. Cai, Chin. Phys. Lett. 21, 1268 (2004).

Shirai, T.

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).

Visser, T. D.

T. D. Visser and E. Wolf, J. Opt. A: Pure and Appl. Opt. 5, 371 (2003).

G. Gbur, T. D. Visser, and E. Wolf, Phys. Rev. Lett. 88, 013901 (2002).

G. Gbur, T. D. Visser, and E. Wolf, J. Opt. Soc. Am. A 19, 1694 (2002).

Wang, L.

L. Wang and Q. Lin, IEEE J. Quantum Electron. 39, 749 (2003).

Wang, W.

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

Wolf, E.

T. D. Visser and E. Wolf, J. Opt. A: Pure and Appl. Opt. 5, 371 (2003).

G. Gbur, T. D. Visser, and E. Wolf, Phys. Rev. Lett. 88, 013901 (2002).

G. Gbur, T. D. Visser, and E. Wolf, J. Opt. Soc. Am. A 19, 1694 (2002).

S. A. Ponomarenko and E. Wolf, Opt. Lett. 27, 1211 (2002).

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

Yadav, B. K.

Acta Opt. Sin. (in Chinese) (1)

L. Z. Pan and B. D. Lu, Acta Opt. Sin. (in Chinese) 23, 707 (2003).

Chin. Opt. Lett. (1)

Chin. Phys. Lett. (1)

J.-X. Pu and C. Cai, Chin. Phys. Lett. 21, 1268 (2004).

IEEE J. Quantum Electron. (1)

L. Wang and Q. Lin, IEEE J. Quantum Electron. 39, 749 (2003).

J. Mod. Opt. (2)

E. Wolf, T. Shirai, H. Chen, and W. Wang, J. Mod. Opt. 44, 1345 (1997).

T. Shirai, E. Wolf, H. Chen, and W. Wang, J. Mod. Opt. 45, 799 (1998).

J. Opt. A: Pure and Appl. Opt. (1)

T. D. Visser and E. Wolf, J. Opt. A: Pure and Appl. Opt. 5, 371 (2003).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

Opt. Laser Technol. (1)

L. Pan and B. Lu, Opt. Laser Technol. 36, 501 (2003).

Opt. Lett. (1)

Phys. Rev. Lett. (1)

G. Gbur, T. D. Visser, and E. Wolf, Phys. Rev. Lett. 88, 013901 (2002).

Proc. R. Soc. Lond. A (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).

Prog. Opt. (1)

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).

Other (1)

M. V. Berry, New J. Phys. 4, 66.1 (2002).

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