论文信息 - Deterministic phase retrieval: a Green’s function solution

Deterministic phase retrieval: a Green’s function solution

Equations for the propagation of phase and irradiance are derived, and a Green’s function solution for the phase in terms of irradiance and perimeter phase values is given. A measurement scheme is discussed, and the results of a numerical simulation are given. Both circular and slit pupils are considered. An appendix discusses the local validity of the parabolic-wave equation based on the factorized Helmholtz equation approach to the Rayleigh–Sommerfeld and Fresnel diffraction theories. Expressions for the diffracted-wave field in the near-field region are given.

M. Teague

[1] P. Dirac. The quantum theory of the electron , 1928 .

[2] É. Lalor,et al. Conditions for the Validity of the Angular Spectrum of Plane Waves , 1968 .

[3] B. J. Hoenders. On the solution of the phase retrieval problem , 1975 .

[4] H. A. Ferwerda,et al. PROBLEM OF PHASE RETRIEVAL IN LIGHT AND ELECTRON-MICROSCOPY OF STRONG OBJECTS .2. UNIQUENESS AND STABILITY OF OBJECT RECONSTRUCTION PROCEDURES USING 2 DEFOCUSED IMAGES , 1976 .

[5] Fred D. Tappert,et al. The parabolic approximation method , 1977 .

[6] J. W. Hardy,et al. Active optics: A new technology for the control of light , 1978, Proceedings of the IEEE.

[7] M. Feit,et al. Light propagation in graded-index optical fibers. , 1978, Applied optics.

[8] Mj Martin Bastiaans. Transport equations for the Wigner distribution function , 1979 .

[9] M. Fiddy,et al. Phase retrieval using two intensity measurements in the complex plane. , 1981, Optics letters.

[10] William H. Southwell,et al. Validity of the Fresnel approximation in the near field , 1981 .

[11] J. G. Walker. The Phase Retrieval Problem , 1981 .

[12] M. Teague. Irradiance moments: their propagation and use for unique retrieval of phase , 1982 .

[13] J R Fienup,et al. Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[14] Symmetries in Coherent and Partially Coherent Fields , 1983 .

[15] Direct and inverse wave propagation theories and the factorized Helmholtz equation , 1983 .