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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 9 — Sep. 1, 1976
  • pp: 961–964

Phase retrieval from modulus data

R. A. Gonsalves  »View Author Affiliations

JOSA, Vol. 66, Issue 9, pp. 961-964 (1976)

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Phase retrieval implies extraction of the phase of a complex signal ƒ from its modulus |ƒ|. We give examples where an additional constraint is imposed: knowledge of the modulus of F, the Fourier transform of ƒ. The retrieval is accomplished by computer processing of samples of |ƒ| and |F|. The problems of noisy data and nonuniqueness are addressed.

© 1976 Optical Society of America

R. A. Gonsalves, "Phase retrieval from modulus data," J. Opt. Soc. Am. 66, 961-964 (1976)

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  21. Our earlier discussion centered on extraction of β(x) in the spatial domain. But we find it more intuitive to present examples where one determines θ (γ) in the frequency domain.

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