X-ray noninterferometric phase imaging: a unified picture

Keith A. Nugent

doi:10.1364/JOSAA.24.000536

Journal of the Optical Society of America A
Vol. 24,
Issue 2,
pp. 536-547
(2007)
•https://doi.org/10.1364/JOSAA.24.000536

X-ray noninterferometric phase imaging: a unified picture

Keith A. Nugent

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Keith A. Nugent, "X-ray noninterferometric phase imaging: a unified picture," J. Opt. Soc. Am. A 24, 536-547 (2007)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

A unified theory of noninterferometric phase recovery based on the so-called ambiguity function is introduced. The theory is used to analyze previously published techniques and unify them with the methods of phase-space tomography applicable to partially coherent data. The theory is then used to propose some new approaches to noninterferometric phase recovery.

Full Article | PDF Article

More Like This

Noninterferometric quantitative phase imaging with soft x rays

Brendan E. Allman, Phillip J. McMahon, Justine B. Tiller, Keith A. Nugent, David Paganin, Anton Barty, Ian McNulty, Sean P. Frigo, Yuxin Wang, and Cornelia C. Retsch
J. Opt. Soc. Am. A 17(10) 1732-1743 (2000)

On x-ray phase imaging with a point source

T. E. Gureyev and S. W. Wilkins
J. Opt. Soc. Am. A 15(3) 579-585 (1998)

X-ray imaging: a generalized approach using phase-space tomography

Chanh Q. Tran, Andrew G. Peele, Ann Roberts, Keith A. Nugent, David Paterson, and Ian McNulty
J. Opt. Soc. Am. A 22(8) 1691-1700 (2005)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (57)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Class	Method	Measurement	Conditions
ID2	High measurement separated planes (method of Guigay)	${\hat{I}}_{z_{1}} (q) = A (q, z_{1} q)$ , ${\hat{I}}_{z_{2}} (q) = A (q, z_{2} q)$	Radiation must interact only weakly with the object
ID2	Closely separated measurement planes (transport of intensity)	${\hat{I}}_{z} (q) = A (q, z q)$ , ${\hat{I}}_{z + δ z} (q) = A (q, (z + δ z) q)$	No special conditions
ID2	Wavelength variation	${\hat{I}}_{z, λ} (q) = A (q, z q)$ , ${\hat{I}}_{z, k + δ k} (q) = A (q, z (1 + \frac{δ k}{k}) q)$	Sample must have properties that are precisely wavelength invariant
ID1	Homogeneous sample	${\hat{I}}_{z} (q) = A (q, z q)$	Sample must have known and uniform composition Radiation must interact weakly with the sample
ID1	Phase-only sample	${\hat{I}}_{z} (q) = A (q, δ z q)$	Measurement plane must be close to sample Interaction must be known to have negligible absorption
IIN	Multiple plane methods	${\hat{I}}_{z_{n}} (q) = A (q, z_{n}, q), n = 1, 2, \dots, N$	No special conditions
FI2	Gerchberg–Saxton approach	${\hat{I}}_{0} (q) = A (q, 0)$ , ${\hat{I}}_{\infty} (q) = A (0, q)$	No special conditions
FI1	Gerchberg–Saxton– Fienup	${\hat{I}}_{\infty} (q) = A (0, q)$	Object must have known support
AI1	Fresnel–Gerchberg– Saxton–Fienup	${\hat{I}}_{α} (q) = A (q, α q)$	Object must have known support
AI2	Astigamtic diffraction	${\hat{I}}_{y} (q_{x}, q_{y}) = A (q_{x}, 0, β q_{x}, q_{y})$ , ${\hat{I}}_{x} (q_{x}, q_{y}) = A (0, q_{y}, q_{x}, α q_{y})$	No special conditions but experimentally challenging Unique solution
AI2/AI1	Aberration		Slowly varying aberration

Abstract

Cited By

Figures (12)

Tables (1)

Equations (57)

Journal of the Optical Society of America A