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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 9 — Sep. 1, 1968
  • pp: 1233–1234

New Approach to the Phase Problem in Optical Coherence Theory

C. L. MEHTA  »View Author Affiliations

JOSA, Vol. 58, Issue 9, pp. 1233-1234 (1968)

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The problem of determining the phase ø of the complex degree of coherence γof a light beam from measurements of its modulus |γ|is considered. If a reference beam of light with an exactly known complex degree of coherence is available, then the phase ø may be determined from an additional experiment in which the two beams are superimposed.

C. L. MEHTA, "New Approach to the Phase Problem in Optical Coherence Theory," J. Opt. Soc. Am. 58, 1233-1234 (1968)

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  1. M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergamon Press Ltd., Oxford, England, 1965), Ch. X.
  2. See for example, L. Mandel and E. Wolf, Rev. Mod. Phys. 37, 257 (1965).
  3. A. A. Michelson, Phil. Mag. 31, 338 (1891); 34, 280 (1892).
  4. E. Wolf, Proc. Phys. Soc. (London) 80, 1269 (1962).
  5. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed. (Clarendon Press, Oxford, England, 1948), p. 128.
  6. P. Roman and A. S. Marathay, Nuovo Cimento 30, 1452 (1963).
  7. A. Walther, Optica Acta 10, 41 (1963).
  8. H. M. Nussenzveig, J. Math. Phys. 8, 561 (1967).
  9. H. Gamo, J. Appl. Phys. 34, 875 (1963); Advances in Quantum Electronics, J. R. Singer, Ed. (Columbia University Press, New York, 1961), p. 252. The idea of superposing incident beam with a coherent background has also been suggested by Gamo in this latter reference. However, in our method the reference source need not be coherent.
  10. C. L. Mehta, Nuovo Cimento 36, 202 (1965).
  11. D. Dialetis and E. Wolf, Nuovo Cimento 47, 113 (1967); D. Dialetis, J. Math. Phys. 8, 1641 (1967).
  12. A. A. Michelson, Astrophys. J., 51, 257 (1920).
  13. R. Hanbury Brown and R. Q. Twiss, Proc. Roy. Soc. (London) A248, 199 (1958).

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