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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3636–3643

Diffraction of a one-dimensional phase grating in the deep Fresnel field

Shuyun Teng, Ningyu Zhang, Qingrui Dong, and Chuanfu Cheng  »View Author Affiliations

JOSA A, Vol. 24, Issue 11, pp. 3636-3643 (2007)

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We analyze theoretically the diffraction of phase gratings in the deep Fresnel field on the basis of the theory of scalar diffraction and Green’s theorem and present the general formula for the diffraction intensity of a one-dimensional sinusoidal phase grating. The numerical calculations show that in the deep Fresnel region the diffraction distribution can be described by designating three characteristic regions that are influenced by the parameters of the grating. The microlensing effect of the interface of the phase grating provides the corresponding explanation. Moreover, according to the viewpoint that the diffraction intensity distribution is the result of the interference of the diffraction orders of the grating, we find that the diffraction patterns, depending on the carved depth of the phase grating, are determined by the contributing diffraction orders, their relative power, and the quasi-Talbot effect of the phase grating, which results from the second meeting of the diffraction orders carrying most of the power of the total field, as in the case of the amplitude grating.

© 2007 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(230.1950) Optical devices : Diffraction gratings
(260.1960) Physical optics : Diffraction theory

ToC Category:
Diffraction and Gratings

Original Manuscript: March 5, 2007
Revised Manuscript: August 15, 2007
Manuscript Accepted: August 17, 2007
Published: October 30, 2007

Shuyun Teng, Ningyu Zhang, Qingrui Dong, and Chuanfu Cheng, "Diffraction of a one-dimensional phase grating in the deep Fresnel field," J. Opt. Soc. Am. A 24, 3636-3643 (2007)

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