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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 6 — Jun. 1, 2002
  • pp: 1430–1434

Generalized eikonal formalism. 3. Formation of interference fringes

Boon Cheong Quek, Nyok Fah Thong, and Kum Sang Low  »View Author Affiliations


JOSA B, Vol. 19, Issue 6, pp. 1430-1434 (2002)
http://dx.doi.org/10.1364/JOSAB.19.001430


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Abstract

The generalized eikonal formalism has recently been shown able to describe wave phenomena, which cannot be obtained by classical geometrical optics. However, whether this generalized eikonal equation can be used to describe interference effects due to linear superposition of waves still remains unanswered. It is shown here that the generalized eikonal formalism self-consistently satisfies the superposition principle and allows the interference effect. First, it is shown analytically to comply with the superposition principle. It is also shown numerically that the formalism satisfies the linear superposition of waves. The computed trajectories provide quantitative information on optical wave propagation as well as physical insights in the formation of interference fringes. Thus the generalized eikonal formalism is expected to be readily developed for the investigation of optical beam transformation in much the same manner as in the geometrical optics.

© 2002 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

Citation
Boon Cheong Quek, Nyok Fah Thong, and Kum Sang Low, "Generalized eikonal formalism. 3. Formation of interference fringes," J. Opt. Soc. Am. B 19, 1430-1434 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-6-1430

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