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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 12, Iss. 9 — Sep. 1, 1995
  • pp: 1942–1946

Partially coherent fields, the transport-of-intensity equation, and phase uniqueness

T. E. Gureyev, A. Roberts, and K. A. Nugent  »View Author Affiliations

JOSA A, Vol. 12, Issue 9, pp. 1942-1946 (1995)

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Recent papers have shown that there are different coherent and partially coherent fields that may have identical intensity distributions throughout space. On the other hand, the well-known transport-of-intensity equation allows the phase of a coherent field to be recovered from intensity measurements, and the solution is widely held to be unique. A discussion is given on the recovery of the structure of both coherent and partially coherent fields from intensity measurements, and we reconcile the uniqueness question by showing that the transport-of-intensity equation has a unique solution for the phase only if the intensity distribution has no zeros.

© 1995 Optical Society of America

Original Manuscript: September 9, 1994
Revised Manuscript: February 24, 1995
Manuscript Accepted: March 31, 1995
Published: September 1, 1995

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995)

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