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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 3 — Mar. 1, 1969
  • pp: 293–295

Single-Slit Fresnel Diffraction Patterns: Comparison of Experimental and Theoretical Results

FRANKLIN S. HARRIS JR., MICHAEL S. TAVENNER, and RICHARD L. MITCHELL  »View Author Affiliations


JOSA, Vol. 59, Issue 3, pp. 293-295 (1969)
http://dx.doi.org/10.1364/JOSA.59.000293


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Abstract

Experimental work at the University of Utah has produced high-resolution optical diffraction patterns by slit apertures, 20 m from source and 30 m from photomultiplier receiver slit. The slit widths varied in 26 values from 0.5 to 32 mm with 4358- and 5461-Å light, corresponding to a Fresnel-variable difference ranging from 0.271 to 19.396. The receiver-slit width was 0.2 mm. A versatile program developed at The Aerospace Corporation for calculation of Fresnel integrals has been used for comparison with experiment, including averaging to give the effect of integration by the photomultiplier slit. Experimental and theoretical diffraction curves are compared for various slit widths. One double-slit-pattern comparison is also given. A high degree of symmetry is found in the measured curves. Even the very fine fluctuations of irradiance in the experimental and theoretical curves match. Three-dimensional theoretical projections of diffraction patterns show the continuous change of pattern from near-Fraunhofer to Fresnel diffraction.

Citation
FRANKLIN S. HARRIS JR., MICHAEL S. TAVENNER, and RICHARD L. MITCHELL, "Single-Slit Fresnel Diffraction Patterns: Comparison of Experimental and Theoretical Results," J. Opt. Soc. Am. 59, 293-295 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-3-293


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References

  1. Franklin S. Harris, Jr., Michael S. Tavenner, and Gordon R. Orme, J. Opt. Soc. Am. 50, 1131A (1960).
  2. J. Dean Barnett and Franklin S. Harris, Jr., J. Opt. Soc. Am. 48, 872 (1958).
  3. Francis A. Jenkins and Harvey E. White, Fundamentals of Optics (McGraw-Hill Book Co., New York, 1957), 3rd ed., Ch. 18.
  4. Tablitsii Integralov Frenelya, Izd. Akad. Nauk USSR, Moscow (1953).
  5. M. P. Bachynski and G. Bekefi, J. Opt. Soc. Am. 47, 428 (1957).
  6. J. Picht, Optik 15, 83 (1958).
  7. John W. Sherman III, IRE Trans. Antennas Propagation AP10, 399 (1962).
  8. M. Cagnet, M. Françon, and J. C. Thrierer, Atlas of Optical Phenomena (Julius Springer-Verlag Berlin/Vienna and Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962), pp. 23–24.
  9. Arthur C. Lind and J. Mayo Greenberg, J. Appl. Phys. 37, 3195 (1966).
  10. Leo Beiser, Appl. Opt. 5, 869 (1966).
  11. R. L. Mitchell in Proceedings of the Seminar on Computerized Imaging Techniques, Washington, D. C., 26 June 1967 (Society Photo-optical Instrumentation Engineers, Redondo Beach, Calif., 1967).

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