Coherent-Mode Representations in Optics

Ostrovsky, Andrey S.

doi:10.1117/3.680516

Cited by 22 publications

(16 citation statements)

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“…The basis for the physical model of partially coherent image formation is the representation of the probe's wavefield as a superposition of uncorrelated but coherent modes Ψ m ∈ C [3,19,33] i.e the coherent mode expansion with m ∈ {1 ... M } denoting the mode index and Ψ m satisfying orthogonality…”

Section: Simulation Modelmentioning

confidence: 99%

“…Recently, however, the methodology for phase retrieval has been extended by Thibault and Menzel to include the reconstruction of multiple coherent modes in the phase retrieval process [18]. Their approach follows the concept of coherent mode representation [3,19] which has been widely used in many optical disciplines. The coherent modes are a particular example of the concept of state mixtures.…”

Section: Introductionmentioning

confidence: 99%

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Reconstructing mode mixtures in the optical near-field

Hagemann¹,

Salditt²

2017

Opt. Express

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We propose a reconstruction scheme for hard x-ray inline holography, a variant of propagation imaging, which is compatible with imaging conditions of partial (spatial) coherence. This is a relevant extension of current full-field phase contrast imaging, which requires full coherence. By the ability to reconstruct the coherent modes of the illumination (probe), as demonstrated here, the requirements of coherence filtering could be relaxed in many experimentally relevant settings. The proposed scheme is built on the mixed-state approach introduced in [Nature494, 68 (2013)], combined with multi-plane detection of extended wavefields [Opt. Commun.199, 65 (2001), Opt. Express22, 16571 (2014)]. Notably, the diversity necessary for the reconstruction is generated by acquiring measurements at different defocus positions of the detector. We show that we can recover the coherent mode structure and occupancy numbers of the partial coherent probe. Practically relevant quantities as the transversal coherence length can be computed from the reconstruction in a straightforward way.

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Section: Simulation Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reconstructing mode mixtures in the optical near-field

Hagemann¹,

Salditt²

2017

Opt. Express

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“…The coherent-mode representation (CMR) of a random source is an essential tool in describing the processes and systems in optics 1 . The theory of CMR in scalar formulation has been developed by Wolf almost thirty years ago 2 .…”

Section: Introductionmentioning

confidence: 99%

Alternative coherent-mode representation of a planar electromagnetic source

Olvera

Ostrovsky

2011

SPIE Proceedings

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Recently we have reported on the alternative coherent-mode representation of a scalar optical source which does not involve the solution of the Fredholm integral equation with the source cross-spectral density as a kernel but is based on results of usual radiometric measurements. Here we generalize such a representation for the case of vector electromagnetic source. The technique of constructing the proposed representation is illustrated with results of mathematical simulation.

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“…The basis for the physical model of partially coherent image formation is the representation of the probe's wavefield as a superposition of uncorrelated but coherent modes Ψ m ∈ C [101,114,123] i.e the coherent mode expansion with m ∈ {1 ... M } denoting the mode index and Ψ m satisfying orthogonality…”

Section: Simulation Modelmentioning

confidence: 99%

“…Recently, however, the methodology for phase retrieval has been extended by Thibault and Menzel to include the reconstruction of multiple coherent modes in the phase retrieval process [99]. Their approach follows the concept of coherent mode representation [101,114] which has been widely used in many optical disciplines. The coherent modes are a particular example of the concept of state mixtures.…”

Section: Introductionmentioning

confidence: 99%

X-Ray Near-Field Holography: Beyond Idealized Assumptions of the Probe

Hagemann¹

2017

Göttingen Series in X-Ray Physics

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Coherent-Mode Representations in Optics

Cited by 22 publications

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Reconstructing mode mixtures in the optical near-field

Reconstructing mode mixtures in the optical near-field

Alternative coherent-mode representation of a planar electromagnetic source

X-Ray Near-Field Holography: Beyond Idealized Assumptions of the Probe

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