Document Type : Research

Author

Abstract

In this paper, the wave front of a beam is obtained by solving the transport of Intensity equation, which is non- interference method. In this way, by measuring the beam intensity in a certain point and solving transport of intensity equation, phase of beam is extracted.
Zero boundary conditions generally used to solve the equation which in some applications, this condition does not exist and solving equations associated with high error. In this article, imposing mandatory zero boundary conditions is proposed. Simulation results show that by applying it, answers tend to the desired values. the results are simulated by Matlab.

Keywords

[1] D. Malacara, Optical shop testing, Wiley-Interscience A John Wiley Sons,Inc (2007).
[2] M.R. Teague, Irradiance moments: their propagation and use for unique retrieval of phase, J. Opt. Soc. Am. 72 (1982) 1199- 1209.
[3] N. Streibl, Phase imaging by the transport equation of intensity, Opt. Commun.49 (1984) 6–10.
[4] K. Ichikawa, A.W. Lohmann, M. Takeda, Phase retrieval based on the irradiance transport equation and the Fourier transform method: experiments, Appl. Opt. 27 (1988) 3433–3436.
[5] F. Roddier, Wavefront sensing and the irradiance transport equation, Appl. Opt. 29 (1990) 1402–1403.
[6] M.R. Teague, Deterministic phase retrieval: a Green’s function solution, J. Opt. Soc. Am. 73 (1983) 1434–1441.
[7] D. Van Dyck and W.Coene, A new procedure for wave function restoration in high resolution electron microscopy, Optik, 77 (1987) 125–128.
[8] M. Beleggia, M.A. Schofield ,V.V. Volkov, and Y.Zhu, On the transport of intensity technique for phase retrieval, Ultramicroscopy, 102 (2004) 37–49.
[9] K. Ishizuka, and B. Allman, Phase measurement of atomic resolution image using transport of intensity equation, Journal of Electron Microscopy, 54 (2005) 191-197.
[10] T.E. Gureyev, and K.A. Nugent, Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination, J. Opt. Soc. Am. A, 13 (1996) 1670-1682.
[11] V.V. Volkov; Y. Zhu, and M. de Graef, A new symmetrized solution for phase retrieval using the transport of intensity equation, micron, 33 (2002) 411-416.