Quantitative phase‐amplitude microscopy. III. The effects of noise

We explore the effect of noise on images obtained using quantitative phase‐amplitude microscopy – a new microscopy technique based on the determination of phase from the intensity evolution of propagating radiation. We compare the predictions with experimental results and also propose an approach that allows good‐quality quantitative phase retrieval to be obtained even for very noisy data.

[1]  F. Zernike.  Phase contrast, a new method for the microscopic observation of transparent objects , 1942 .

[2]  R. Barer.  Interference Microscopy and Mass Determination , 1952, Nature.

[3]  G. Nomarski,et al.  Application à la métallographie des méthodes interférentielles à deux ondes polarisées , 1955 .

[4]  Image processing and computer-aided design in electron optics , 1973 .

[5]  A. Papoulis.  Systems and transforms with applications in optics , 1981 .

[6]  M. Teague.  Deterministic phase retrieval: a Green’s function solution , 1983 .

[7]  V. I. Tatarskiĭ,et al.  Wave propagation through random media , 1989 .

[8]  Yu. A. Kravtsov,et al.  Principles of statistical radiophysics. 4. Wave propagation through random media. , 1989 .

[9]  W. O. Saxton.  What is the focus variation method? Is it new? Is it direct? , 1994 .

[10]  K. Nugent,et al.  Partially coherent fields, the transport-of-intensity equation, and phase uniqueness , 1995 .

[11]  K. Nugent,et al.  Quantitative Phase Imaging Using Hard X Rays. , 1996, Physical review letters.

[12]  K. Nugent,et al.  Rapid quantitative phase imaging using the transport of intensity equation , 1997 .

[13]  L. V. van Vliet,et al.  Reconstruction of optical pathlength distributions from images obtained by a wide‐field differential interference contrast microscope , 1997, Journal of microscopy.

[14]  S. Wilkins,et al.  Contrast and resolution in imaging with a microfocus x-ray source , 1997 .

[15]  K. Nugent,et al.  Noninterferometric phase imaging with partially coherent light , 1998 .

[16]  Van Munster,et al.  Measurement‐based evaluation of optical pathlength distributions reconstructed from simulated differential interference contrast images , 1998, Journal of microscopy.

[17]  K. Nugent,et al.  Quantitative optical phase microscopy. , 1998, Optics letters.

[18]  S. Wilkins,et al.  Hard x-ray quantitative non-interferometric phase-contrast microscopy , 1999 .

[19]  K. Nugent,et al.  Quantitative phase-sensitive imaging in a transmission electron microscope , 2000, Ultramicroscopy.

[20]  K. Nugent,et al.  Noninterferometric quantitative phase imaging with soft x rays. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  K. Nugent,et al.  Quantitative phase tomography , 2000 .

[22]  M. Graef.  2. Lorentz microscopy: Theoretical basis and image simulations , 2001 .

[23]  M. Graef,et al.  A new symmetrized solution for phase retrieval using the transport of intensity equation. , 2002, Micron.

[24]  Keith A. Nugent,et al.  Noninterferometric phase imaging of a neutral atomic beam , 2002 .

[25]  K. Nugent,et al.  Quantitative phase‐amplitude microscopy I: optical microscopy , 2002, Journal of microscopy.

[26]  P. J. McMahon,et al.  Quantitative phase‐amplitude microscopy II: differential interference contrast imaging for biological TEM , 2002, Journal of microscopy.

[27]  Non-Interferometric Phase Determination , 2005 .