Two-dimensional phase retrieval using the logarithmic Hilbert transform and the estimation technique of zero information

Nakajima, Nobuharu; Asakura, T.

doi:10.1088/0022-3727/19/3/005

Cited by 19 publications

References 23 publications

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Complex Raman amplitude recovery and dynamics from the Raman excitation profile: application to iodobenzene and azulene

Feng

Lee

2001

J Raman Spectroscopy

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Recovering the complex amplitude or phase from an intensity, which is given as the modulus square of the amplitude, is a problem common to diverse physical areas. The focus of this paper is on the Raman excitation profile -the Raman intensity of a mode as a function of the excitation energy -which is given by the modulus square of the Raman amplitude. Three methods, with different principles, are presented for amplitude or phase recovery: the dispersion or energy-frame method; the z-transform or time-frame method; and the maximum entropy method. A comparison function technique is introduced to address the usual situation where the measured intensity is band-limited. There are two classes of problems, minimum phase and non-minimum phase, and the mapping from the intensity to the complex amplitude may not be unique. The non-minimum phase situation occurs when the analytically extended complex amplitude, with the energy E replaced by x = g − iE, has zeros in the right-half complex plane. These zeros have implications for the system dynamics. An algorithm is presented to search for the critical zeros. The characteristics of the zeros are studied with a two-mode harmonic model, and the theory is applied to the Raman excitation profiles of iodobenzene and azulene.

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Complex Raman amplitude recovery and dynamics from the Raman excitation profile: application to iodobenzene and azulene

Feng

Lee

2001

J Raman Spectroscopy

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Roadmap on computational methods in optical imaging and holography [invited]

Rosen,

Alford,

Allan

et al. 2024

Appl. Phys. B

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Computational methods have been established as cornerstones in optical imaging and holography in recent years. Every year, the dependence of optical imaging and holography on computational methods is increasing significantly to the extent that optical methods and components are being completely and efficiently replaced with computational methods at low cost. This roadmap reviews the current scenario in four major areas namely incoherent digital holography, quantitative phase imaging, imaging through scattering layers, and super-resolution imaging. In addition to registering the perspectives of the modern-day architects of the above research areas, the roadmap also reports some of the latest studies on the topic. Computational codes and pseudocodes are presented for computational methods in a plug-and-play fashion for readers to not only read and understand but also practice the latest algorithms with their data. We believe that this roadmap will be a valuable tool for analyzing the current trends in computational methods to predict and prepare the future of computational methods in optical imaging and holography.

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