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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 4 — Apr. 1, 1977
  • pp: 551–553

Diffracted waves in the shadow boundary region

G. Otis, J.-L. Lachambre, J. W. Y. Lit, and P. Lavigne  »View Author Affiliations


JOSA, Vol. 67, Issue 4, pp. 551-553 (1977)
http://dx.doi.org/10.1364/JOSA.67.000551


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Abstract

The boundary-diffraction-wave theory is used to calculate the diffracted field in the shadow boundary region. Discussions are based on expressions derived for a Gaussian beam incident on a circular aperture.

© 1977 Optical Society of America

Citation
G. Otis, J.-L. Lachambre, J. W. Y. Lit, and P. Lavigne, "Diffracted waves in the shadow boundary region," J. Opt. Soc. Am. 67, 551-553 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-4-551


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References

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  2. K. Miyamoto and E. Wolf, " Generalization of the Maggi-Rubinowicz theory of the boundary-diffraction wave," J. Opt. Soc. Am. 52, 615–625 (part I) and 626–637 (part II) (1962).
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  5. G. Otis and J. W. Y. Lit, "Edge-on diffraction of a Gaussian laser beam by a semi-infinite plane," Appl. Opt. 14, 1156–1160 (1975).
  6. E. W. Marchand and E. Wolf, "Diffraction at small apertures in black screens," J. Opt. Soc. Am. 59, 79–90 (1969).
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  11. D. S. Ahluwalia, R. M. Lewis, and J. Boersma, "Uniform asymptotic theory of diffraction by a plane screen," SIAM J. Appl. Math. 16, 783–807 (1968).
  12. S. Choudhary and L. B. Felsen, "Analysis of Gaussian beam propagation and diffraction by inhomogeneous wave tracking," Proc. IEEE 62, 1530–1541 (1974).
  13. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1964), p. 441.
  14. A. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, (Dover, New York, 1965), Chap. 9.
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  17. Reference 14, formula 11.3.9.
  18. Reference 14, Chap. 7.
  19. Reference 13, Sec. 8.7.

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