OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 7, Iss. 11 — Nov. 1, 1968
  • pp: 2205–2209

Sequential Encoding with Multislit Spectrometers

John A. Decker, Jr. and Martin O. Harwitt  »View Author Affiliations


Applied Optics, Vol. 7, Issue 11, pp. 2205-2209 (1968)
http://dx.doi.org/10.1364/AO.7.002205


View Full Text Article

Enhanced HTML    Acrobat PDF (628 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method for optically encoding the spectral output of multislit spectrometers is proposed. It is based on sequential measurements of the total intensity of light in combinations of selected spectral bands. The resulting encoded optical information is obtained as a set of simultaneous linear algebraic equations, and spectrum reconstruction is accomplished through the use of matrix inversion techniques. This encoding method avoids the problems associated with frequency transform encoding, because it is not based on the usual Fourier or Fresnel transforms. Rather, it makes use of the theory of simultaneous linear algebraic equations.

© 1968 Optical Society of America

History
Original Manuscript: June 17, 1968
Published: November 1, 1968

Citation
John A. Decker and Martin O. Harwitt, "Sequential Encoding with Multislit Spectrometers," Appl. Opt. 7, 2205-2209 (1968)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-7-11-2205


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. J. E. Golay, J. Opt. Soc. Amer. 39, 437 (1949). [CrossRef]
  2. P. Fellgett, Cambridge Univ. Ph.D. thesis (1951); quoted by L. Mertz, Transformations in Optics (John Wiley & Sons, Inc., New York, 1965), p. 1; J. Phys. Radium 19, 187 (1958).
  3. P. Jacquinot, J. Opt. Soc. Amer. 44, 761 (1954); Rep. Progr. Phys. 23, 267 (1960). [CrossRef]
  4. J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, suppl. 3–4, p. C2–44 (1967).
  5. J. F. Grainger, Univ. of Hull (England) Reports, Contract AF61 (052)–751 (unpublished): Annual Summary Report (1965), and Final Scientific Report (1966).
  6. L. Mertz, see Ref. 2, Chaps. I and II.
  7. M. J. E. Golay, J. Opt. Soc. Amer. 41, 468 (1951). [CrossRef]
  8. A. Girard, Appl. Opt. 2, 79 (1963); quoted by L. Mertz, Ref. 2, p. 84. [CrossRef]
  9. A. Labeyrie, Comp. Rend. B265, 119 (1967).
  10. S. Prydz, Appl. Opt. 7, 211 (1968). [CrossRef] [PubMed]
  11. R. N. Ibbett, D. Aspinall, J. F. Grainger, Appl. Opt. 7, 1089 (1968). [CrossRef] [PubMed]
  12. S. Kaczmarz, H. Steinhaus, Theorie der Orthogonalreihen (Chelsea Publishing Company, New York, 1951), p. 132.
  13. J. L. Walsh, Amer. J. Math. 45, 5 (1923). [CrossRef]
  14. See, e.g., F. B. Hildebrand, Methods of Applied Mathematics (Prentice-Hall, Inc., New York, 1952), p. 12.
  15. T. Muir, W. H. Metzler, A Treatise on the Theory of Determinants (Longmans, Green and Company, Inc., New York, 1933), p. 487.
  16. L. B. W. Jolley, Summation of Series (Dover Publications, Inc., New York, 1961).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited