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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 25, Iss. 12 — Jun. 15, 1986
  • pp: 1997–2002

Application of the flux flow equation to the Wolter I x-ray telescope and thin-film multilayered optics

Shao-Hua Chao and David L. Shealy  »View Author Affiliations


Applied Optics, Vol. 25, Issue 12, pp. 1997-2002 (1986)
http://dx.doi.org/10.1364/AO.25.001997


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Abstract

The flux flow equation of Burkhard and Shealy is a simplified equation which can be used to evaluate the energy flux density at the image plane for a general optical system. Since the flux flow equation is based on the differential geometry of the wave front passing through the system, the energy flux density at the image plane can be computed by tracing a single ray through the system and using the flux flow equation. This technique has been used to calculate the meridional section of the point spread function of Wolter I x-ray telescopes and thin-film multilayered optics. Results, which have been obtained by the flux flow ray tracing method for the point spread function of several Wolter I x-ray telescopes and hybrid x-ray telescopes using convexed thin-film multilayered optics located near the primary focus, are compared with the rms blur circle results and the point spread function results obtained by conventional ray tracing techniques.

© 1986 Optical Society of America

History
Original Manuscript: October 7, 1985
Published: June 15, 1986

Citation
Shao-Hua Chao and David L. Shealy, "Application of the flux flow equation to the Wolter I x-ray telescope and thin-film multilayered optics," Appl. Opt. 25, 1997-2002 (1986)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-25-12-1997


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References

  1. Military Standardization Handbook-Optical Design, MIL-HDBK-141 (Defense Supply Agency, Washington, DC, 1962), Chap. 5.
  2. W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, New York, 1974), p. 93.
  3. R. J. Gagnon, “Spot Diagram of Maximum Sharpness,” J. Opt. Soc. Am. 58, 1160 (1968).
  4. J. D. Mangus, J. H. Underwood, “Optical Design of a Glancing Incidence X-Ray Telescope,” Appl. Opt. 8, 95 (1969).
  5. L. P. VanSpeybroeck, R. C. Chase, “Design Parameters of Paraboloid–Hyperboloid Telescopes for X-Ray Astronomy,” Appl. Opt. 11, 440 (1972).
  6. R. C. Chase, L. P. VanSpeybroeck, “Wolter-Schwarzchild Telescopes for X-Ray Astronomy,” Appl. Opt. 12, 1042 (1973).
  7. R. C. Chase, J. K. Silk, “Ellipsoid–Hyperboloid X-Ray Imaging Instrument for Laser-Pellet Diagnostics,” Appl. Opt. 14, 2096 (1975).
  8. J. K. Silk, “A Grazing Incidence Microscope for X-Ray Imaging Applications,” Ann. N.Y. Acad. Sci. 342, 116 (1980).
  9. J. W. Foreman, “Computation of rms Spot Radii by Ray Tracing,” Appl. Opt. 13, 2585 (1974).
  10. T. B. Andersen, “Evaluating rms Spot Radii by Ray Tracing,” Appl. Opt. 21, 1241 (1982).
  11. J. W. Foreman, G. W. Hunt, E. K. Lawson, “Analytical Study of the Imaging Characteristics of the Goddard ATM X-Ray Telescope,” Space Support Division, Sperry Rand Corp., Huntsville, AL (Sept.1969).
  12. D. L. Shealy, A. Kassim, S. Chao, “Extended Range X-Ray Telescope: X-Ray Microscope Design,” Final Report Submitted to Marshall Space Flight Center, Contract NAS8-34728 (July1982).
  13. D. L. Shealy, “Analysis of NOAA-MSFC GOES X-Ray Telescope,” Final Report Submitted to Marshall Space Flight Center, Contract H-34373B (Aug.1979).
  14. S. Ramage, M. V. Zombeck, “Off-Axis Behavior of the High Resolution Mirror Assembly,” AXAF Interim Report SAO-AXAF-83-014, Smithsonian Astrophysical Observatory (May1983).
  15. W. Werner, “Imaging Properties of Wolter I Type X-Ray Telescopes,” Appl. Opt. 16, 764 (1977).
  16. D. G. Burkhard, D. L. Shealy, “Simplified Formula for the Illuminance in an Optical System,” Appl. Opt. 20, 897 (1981).
  17. D. L. Shealy, D. G. Burkhard, “Heat Flux Contours on a Plane for Parallel Radiation Specularly Reflected from a Cone, a Hemisphere and a Paraboloid,” Int. J. Heat Mass Transfer 16, 281 (1973).
  18. D. G. Burkhard, D. L. Shealy, “Equation for the Intensity of Acoustic Rays Deflected by an Object in a Variable Velocity Medium,” J. Acoust. Soc. Am. 56, 1327 (1974).
  19. D. L. Shealy, “Analytical Illuminance and Caustic Surface Calculations in Geometrical Optics,” Appl. Opt. 15, 2588 (1976).
  20. D. G. Burkhard, D. L. Shealy, “Specular Aspheric Surface to Obtain a Specified Irradiance from Discrete or Continuous Line Source Radiation: Design,” Appl. Opt. 14, 1279 (1975).
  21. P. W. Rhodes, D. L. Shealy, “Refractive Optical Systems for Irradiance Redistribution of Collimated Radiation: Their Design and Analysis,” Appl. Opt. 19, 3545 (1980).
  22. R. B. Hoover, S. Chao, D. L. Shealy, “Design and Analysis of Spectral Slicing X-Ray Telescope Systems,” Proc. Soc. Photo-Opt. Instrum. Eng. 563, 280 (1985).

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