scholarly journals Cross-check of different techniques for two-dimensional power spectral density measurements of x-ray optics

2005 ◽  
Author(s):  
Valeriy V. Yashchuk ◽  
Steve C. Irick ◽  
Eric M. Gullikson ◽  
Malcolm R. Howells ◽  
Alastair A. MacDowell ◽  
...  
Keyword(s):  
Spectral Density ◽  
Power Spectral Density ◽  
Two Dimensional ◽  
Ray Optics ◽  
Density Measurements ◽  
X Ray ◽  
Power Spectral

scholarly journals Two-dimensional power spectral density measurements of x-ray optics with the Micromap interferometric microscope

2005 ◽  
Author(s):  
Valeriy V. Yashchuk ◽  
Andrew D. Franck ◽  
Steve C. Irick ◽  
Malcolm R. Howells ◽  
Alastair A. MacDowell ◽  
...  
Keyword(s):  
Spectral Density ◽  
Power Spectral Density ◽  
Two Dimensional ◽  
Ray Optics ◽  
Density Measurements ◽  
X Ray ◽  
Power Spectral

scholarly journals A search for X-ray reprocessing echoes in the power spectral density functions of AGN

2016 ◽  
Vol 461 (2) ◽  
pp. 1642-1655 ◽  
Author(s):  
D. Emmanoulopoulos ◽  
I. E. Papadakis ◽  
A. Epitropakis ◽  
T. Pecháček ◽  
M. Dovčiak ◽  
...  
Keyword(s):  
Spectral Density ◽  
Power Spectral Density ◽  
Density Functions ◽  
X Ray ◽  
Power Spectral ◽  
Spectral Density Functions

Evaluating Frequency Error Property of Wavefront of Large Optics by PSD Collapse

2007 ◽  
Vol 364-366 ◽  
pp. 108-112
Author(s):  
Xiao Feng Cheng ◽  
Wan Guo Zheng ◽  
Xiao Dong Jiang ◽  
Huan Ren ◽  
Jing Yuan ◽  
...  
Keyword(s):  
Spectral Density ◽  
Power Spectral Density ◽  
Radon Transform ◽  
Intermediate Frequency ◽  
Frequency Error ◽  
Two Dimensional ◽  
Power Spectral ◽  
Valid Data ◽  
And Behavior ◽  
Evaluating Method

Operation of two-dimensional Power Spectral Density (2-D PSD) of large optics wavefront is briefly described and PSD collapse is introduced to evaluate the intermediate frequency error property of wavefront. As PSD collapse is Radon transform projection of 2-D Power Spectral Density at any angle, all valid data of wavefront of optics are used in calculation of the PSD collapse and the features of 1-D PSD were inherited in PSD collapse. Although PSD collapse is as same as 1-D PSD in unit and behavior style, it is better for evaluating intermediate frequency error property of optics wavefront than 1-D PSD or 2-D PSD. As PSD collapse calculation uses all valid data of evaluated optics wave front and can be directly perceived through its profile, the PSD collapse may possibly be the standard evaluating method of PSD.

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