Similar articles

Abstract: Because the phase contains more information about the field compared to the amplitude, measurement of the phase is encountered in many branches of modern science and engineering. Direct measurement of the phase is difficult in the visible regime of the electromagnetic wave. One must employ computational techniques to calculate the phase from the captured intensity. In this paper, we provide a review of our recent work on iterative phase retrieval techniques and their applications in optical imaging.

光学成像中的相位问题

[1]Allen, L.J., Oxley, M.P., 2001. Phase retrieval from series of images obtained by defocus variation. Opt. Commun., 199(1-4):65-75.

[2]Anand, A., Chhaniwal, V.K., Javidi, B., 2011. Quantitative cell imaging using single beam phase retrieval method. J. Biomed. Opt., 16(6):060503.

[3]Bao, P., Zhang, F., Pedrini, G., et al., 2008. Phase retrieval using multiple illumination wavelengths. Opt. Lett., 33(4):309-311.

[4]Bao, P., Situ, G., Pedrini, G., et al., 2012. Lensless phase microscopy using phase retrieval with multiple illumination wavelengths. Appl. Opt., 51(22):5486-5494.

[5]Bates, R.H.T., 1984. Uniqueness of solutions to two-dimensional Fourier phase problems of localized and positive images. Comput. Vis. Graph. Image Process., 25(2):205-217.

[6]Bauschke, H.H., Combettes, P.L., Luke, D.R., 2002. Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J. Opt. Soc. Am. A, 19(7):1334-1345.

[7]Bian, L., Suo, J., Situ, G., et al., 2014. Content adaptive illumination for Fourier ptychography. Opt. Lett., 39(23):6648-6651.

[8]Bruck, Y.M., Sodin, L.G., 1979. On the ambiguity of the image reconstruction problem. Opt. Commun., 30(3):304-308.

[9]Buckley, E., 2011. Holographic laser projection. J. Disp. Tech., 7(3):135-140.

[10]Chang, H.T., Lu, W.C., Kuo, C.J., 2002. Multiple-phase retrieval for optical security systems by use of random-phase encoding. Appl. Opt., 41(23):4825-4834.

[11]Chen, W., Chen, X., Sheppard, C.J.R., 2010. Optical image encryption based on diffractive imaging. Opt. Lett., 35(22):3817-3819.

[12]Chen, W., Chen, X., Anand, A., et al., 2013a. Optical encryption using multiple intensity samplings in the axial domain. J. Opt. Soc. Am. A, 30(5):806-812.

[13]Chen, W., Situ, G., Chen, X., 2013b. High-flexibility optical encryption via aperture movement. Opt. Expr., 21(21):24680-24691.

[14]Faulkner, H.M.L., Rodenburg, J.M., 2004. Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm. Phys. Rev. Lett., 93(2):023903.

[15]Fienup, J.R., 1980. Iterative method applied to image reconstruction and to computer-generated holograms. Opt. Eng., 19(3):297-305.

[16]Fienup, J.R., 1982. Phase retrieval algorithms: a comparison. Appl. Opt., 21(15):2758-2769.

[17]Fienup, J.R., Wackerman, C.C., 1986. Phase-retrieval stagnation problems and solutions. J. Opt. Soc. Am. A, 3(11):1897-1907.

[18]Gerchberg, R.W., Saxton, W.O., 1972. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik, 35(2):237-246.

[19]Guizar-Sicairos, M., Fienup, J.R., 2012. Understanding the twin-image problem in phase retrieval. J. Opt. Soc. Am. A, 29(11):2367-2375.

[20]Guo, C., Liu, S., Sheridan, J.T., 2015a. Iterative phase retrieval algorithms. Part I: optimization. Appl. Opt., 54(15):4698-4708.

[21]Guo, C., Liu, S., Sheridan, J.T., 2015b. Iterative phase retrieval algorithms. Part II: attacking optical encryption systems. Appl. Opt., 54(15):4709-4718.

[22]Guo, C., Wei, C., Tan, J., et al., 2017. A review of iterative phase retrieval for measurement and encryption. Opt. Laser. Eng., 89:2-12.

[23]Gülses, A.A., Jenkins, B.K., 2013. Cascaded diffractive optical elements for improved multiplane image reconstruction. Appl. Opt., 52(15):3608-3616.

[24]Hayes, M., 1982. The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform. IEEE Trans. Acoust. Speech Signal Process., 30(2):140-154.

[25]Healy, J.J., Kutay, M.A., Ozaktas, H.M., et al., 2016. Linear Canonical Transforms: Theory and Applications. Springer New York.

[26]Izraelevitz, D., Lim, J., 1987. A new direct algorithm for image reconstruction from Fourier transform magnitude. IEEE Trans. Acoust. Speech Signal Process., 35(4):511-519.

[27]Johnson, E.G., Brasher, J.D., 1996. Phase encryption of biometrics in diffractive optical elements. Opt. Lett., 21(16):1271-1273.

[28]Kreis, T., 2005. Handbook of Holographic Interferometry: Optical and Digital Methods. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany.

[29]Levi, A., Stark, H., 1984. Image restoration by the method of generalized projections with application to restoration from magnitude. J. Opt. Soc. Am. A, 1(9):932-943.

[30]Li, Y., Kreske, K., Rosen, J., 2000. Security and encryption optical systems based on a correlator with significant output images. Appl. Opt., 39(29):5295-5301.

[31]Lu, C.H., Barsi, C., Williams, M.O., et al., 2013. Phase retrieval using nonlinear diversity. Appl. Opt., 52(10): D92-D96.

[32]Malacara, D., Servín, M., Malacara, Z., 2005. Interferogram Analysis for Optical Testing (2nd Ed.). CRC Press.

[33]Marchesini, S., Gehrz, R.D., Roellig, T.L., et al., 2007. A unified evaluation of iterative projection algorithms for phase retrieval. Rev. Sci. Instrum., 78(1):11301.1-11301.10.

[34]Marrison, J., Räty, L., Marriott, P., et al., 2013. Ptychography—a label free, high-contrast imaging technique for live cells using quantitative phase information. Sci. Rep., 3(32):2369.

[35]Millane, R.P., 1990. Phase retrieval in crystallography and optics. J. Opt. Soc. Am. A, 7(3):394-411.

[36]Nakano, K., Takeda, M., Suzuki, H., et al., 2014. Security analysis of phase-only DRPE based on known-plaintext attack using multiple known plaintext-ciphertext pairs. Appl. Opt., 53(28):6435-6443.

[37]Nolte, D.D., 2012. Optical Interferometry for Biology and Medicine. Springer New York, USA.

[38]Oppenheim, A.V., Lim, J.S., 1981. The importance of phase in signals. Proc. IEEE, 69(5):529-541.

[39]Refregier, P., Javidi, B., 1995. Optical image encryption based on input plane and Fourier plane random encoding. Opt. Lett., 20(7):767-769.

[40]Rodenburg, J.M., Faulkner, H.M.L., 2004. A phase retrieval algorithm for shifting illumination. Appl. Phys. Lett., 85(20):4795-4797.

[41]Shechtman, Y., Eldar, Y.C., Cohen, O., et al., 2015. Phase retrieval with application to optical imaging: a contemporary overview. IEEE Signal Process. Mag., 32(3): 87-109.

[42]Shi, Y., Situ, G., Zhang, J., 2007. Multiple-image hiding in the Fresnel domain. Opt. Lett., 32(13):1914-1916.

[43]Shi, Y., Li, T., Wang, Y., et al., 2013. Optical image encryption via ptychography. Opt. Lett., 38(9):1425-1427.

[44]Situ, G., Yan, L.T., 2010. Determination of polymer morphology from the intensity measurement in the reciprocal space. Eur. Poly. J., 46(9):1891-1895.

[45]Situ, G., Zhang, J., 2004. A lensless optical security system based on computer-generated phase only masks. Opt. Commun., 232(1-6):115-122.

[46]Situ, G., Gopinathan, U., Monaghan, D.S., et al., 2007. Cryptanalysis of optical security systems with significant output images. Appl. Opt., 46(22):5257-5262.

[47]Situ, G., Monaghan, D.S., Naughton, T.J., et al., 2008. Collision in double random phase encoding. Opt. Commun., 281(20):5122-5125.

[48]Situ, G., Pedrini, G., Osten, W., 2010. Strategy for cryptanalysis of optical encryption in the Fresnel domain. Appl. Opt., 49(3):457-462.

[49]Situ, G., Suo, J., Dai, Q., 2015. Generalized iterative phase retrieval algorithms and their applications. Proc. IEEE 13th Int. Conf. on Industrial Informatics, p.713-720.

[50]Walther, A., 1963. The question of phase retrieval in optics. Opt. Acta: Int. J. Opt., 10(1):41-49.

[51]Wang, H., Yue, W., Song, Q., et al., 2017. A hybrid Gerchberg-Saxton-like algorithm for DOE and CGH calculation. Opt. Lasers Eng., 89:109-115.

[52]Wang, R.K., Watson, L.A., Chatwin, C., 1996. Random phase encoding for optical security. Opt. Eng., 35(9):2464-2469.

[53]Wyrowski, F., Bryngdahl, O., 1988. Iterative Fourier-transform algorithm applied to computer holography. J. Opt. Soc. Am. A, 5(7):1058-1065.

[54]Zaleta, D., Larsson, M., Daschner, W., et al., 1995. Design methods for space-variant optical interconnections to achieve optimum power throughput. Appl. Opt., 34(14):2436-2447.

[55]Zhang, F., Pedrini, G., Osten, W., 2007. Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation. Phys. Rev. A, 75(4):810-814.

[56]Zhang, F., Chen, B., Morrison, G.R., et al., 2016. Phase retrieval by coherent modulation imaging. Nat. Commun., 7:13367.

[57]Zhang, Y., Pedrini, G., Osten, W., et al., 2003. Whole optical wavefield reconstruction from double or multi in-line holograms by phase retrieval algorithm. Opt. Expr., 11(24):3234-3241.

[58]Zheng, G., Horstmeyer, R., Yang, C., 2013. Wide-field, high-resolution Fourier ptychographic microscopy. Nat. Photon., 7(9):739-746.