Research on object-plane constraints and hologram expansion in phase retrieval algorithms for continuous-wave terahertz inline digital holography reconstruction.

In terahertz inline digital holography, zero-order diffraction light and conjugate images can cause the reconstructed image to be blurred. In this paper, three phase retrieval algorithms are applied to conduct reconstruction based on the same near-field diffraction propagation conditions and image-plane constraints. The impact of different object-plane constraints on CW terahertz inline digital holographic reconstruction is studied. The results show that in the phase retrieval algorithm it is not suitable to impose restriction on the phase when the object is not isolated in the transmission-type CW terahertz inline digital holography. In addition, the effects of zero-padding expansion, boundary replication expansion, and apodization operation on reconstructed images are studied. The results indicate that the conjugate image can be eliminated, and a better reconstructed image can be obtained by adopting an appropriate phase retrieval algorithm after the normalized hologram extending to the minimum area, which meets the applicable range of the angular spectrum reconstruction algorithm by means of boundary replication.

[1]  Denis Joyeux,et al.  Iterative algorithms for twin-image elimination in in-line holography using finite-support constraints , 1993 .

[2]  A Finizio,et al.  Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes. , 2005, Optics express.

[3]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[4]  P. Scott,et al.  Phase retrieval and twin-image elimination for in-line Fresnel holograms , 1987 .

[5]  Corinne Fournier,et al.  Twin-image noise reduction by phase retrieval in in-line digital holography , 2005, SPIE Optics + Photonics.

[6]  Yan Li,et al.  Iterative solution to twin image problem in in-line digital holography , 2013 .

[7]  I. Yamaguchi,et al.  Phase-shifting digital holography. , 1997, Optics letters.

[8]  Barton,et al.  Removing multiple scattering and twin images from holographic images. , 1991, Physical review letters.

[9]  Werner P. O. Jueptner,et al.  Application of digital holographic microscopy for inspection of micro-optical components , 2001, Lasers in Metrology and Art Conservation.

[10]  李艳,et al.  Twin image elimination from two in-line holograms via phase retrieval , 2012 .

[11]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[12]  G. Pedrini,et al.  Whole optical wave field reconstruction from double or multi in-line holograms by phase retrieval algorithm. , 2003, Optics express.

[13]  Alexander Wong,et al.  General Bayesian estimation for speckle noise reduction in optical coherence tomography retinal imagery. , 2010, Optics express.

[14]  Hui-Tian Wang,et al.  Phase-shifting error and its elimination in phase-shifting digital holography. , 2002, Optics letters.

[15]  Andrei Gorodetsky,et al.  Holography and phase retrieval in terahertz imaging , 2013, Optics & Photonics - Optical Engineering + Applications.

[16]  Yun-Da Li,et al.  Continuous-wave terahertz in-line digital holography. , 2012, Optics letters.

[17]  Yun-Da Li,et al.  Experimental research on terahertz Gabor inline digital holography of concealed objects. , 2012, Applied optics.

[18]  Cristina Trillo,et al.  Dimensionless formulation of the convolution and angular spectrum reconstruction methods in digital holography , 2010, Speckle: International Conference on Speckle Metrology.

[19]  T. Latychevskaia,et al.  Solution to the twin image problem in holography. , 2006, Physical review letters.

[20]  Nikolay V. Petrov,et al.  The features of optimization of a phase retrieval technique in THz frequency range , 2012, Other Conferences.

[21]  Nikolay V. Petrov,et al.  Phase retrieval of THz radiation using set of 2D spatial intensity measurements with different wavelengths , 2012, OPTO.

[22]  T. Latychevskaia,et al.  Simultaneous reconstruction of phase and amplitude contrast from a single holographic record. , 2009, Optics express.

[23]  J R Fienup,et al.  Reconstruction of an object from the modulus of its Fourier transform. , 1978, Optics letters.