Calculation of the Johann error for spherically bent x-ray imaging crystal spectrometers

E. Wang; P. Beiersdorfer; M. Gu; M. Bitter; L. Delgado-Aparicio; K. W. Hill; M. Reinke; J. E. Rice; Y. Podpaly

doi:10.1063/1.3491195

Calculation of the Johann error for spherically bent x-ray imaging crystal spectrometers

E. Wang, P. Beiersdorfer, M. Gu, M. Bitter, L. Delgado-Aparicio, K. W. Hill, M. Reinke, J. E. Rice, Y. Podpaly

PPPL Advanced Projects

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

New x-ray imaging crystal spectrometers, currently operating on Alcator C-Mod, NSTX, EAST, and KSTAR, record spectral lines of highly charged ions, such as Ar16+, from multiple sightlines to obtain profiles of ion temperature and of toroidal plasma rotation velocity from Doppler measurements. In the present work, we describe a new data analysis routine, which accounts for the specific geometry of the sightlines of a curved-crystal spectrometer and includes corrections for the Johann error to facilitate the tomographic inversion. Such corrections are important to distinguish velocity induced Doppler shifts from instrumental line shifts caused by the Johann error. The importance of this correction is demonstrated using data from Alcator C-Mod.

Original language	English (US)
Article number	10E329
Journal	Review of Scientific Instruments
Volume	81
Issue number	10
DOIs	https://doi.org/10.1063/1.3491195
State	Published - Oct 2010

All Science Journal Classification (ASJC) codes

Instrumentation

Access to Document

10.1063/1.3491195

Cite this

@article{b262b0f4509f457d9a06d2aed9cb97f8,

title = "Calculation of the Johann error for spherically bent x-ray imaging crystal spectrometers",

abstract = "New x-ray imaging crystal spectrometers, currently operating on Alcator C-Mod, NSTX, EAST, and KSTAR, record spectral lines of highly charged ions, such as Ar16+, from multiple sightlines to obtain profiles of ion temperature and of toroidal plasma rotation velocity from Doppler measurements. In the present work, we describe a new data analysis routine, which accounts for the specific geometry of the sightlines of a curved-crystal spectrometer and includes corrections for the Johann error to facilitate the tomographic inversion. Such corrections are important to distinguish velocity induced Doppler shifts from instrumental line shifts caused by the Johann error. The importance of this correction is demonstrated using data from Alcator C-Mod.",

author = "E. Wang and P. Beiersdorfer and M. Gu and M. Bitter and L. Delgado-Aparicio and Hill, \{K. W.\} and M. Reinke and Rice, \{J. E.\} and Y. Podpaly",

year = "2010",

month = oct,

doi = "10.1063/1.3491195",

language = "English (US)",

volume = "81",

journal = "Review of Scientific Instruments",

issn = "0034-6748",

publisher = "American Institute of Physics",

number = "10",

}

TY - JOUR

T1 - Calculation of the Johann error for spherically bent x-ray imaging crystal spectrometers

AU - Wang, E.

AU - Beiersdorfer, P.

AU - Gu, M.

AU - Bitter, M.

AU - Delgado-Aparicio, L.

AU - Hill, K. W.

AU - Reinke, M.

AU - Rice, J. E.

AU - Podpaly, Y.

PY - 2010/10

Y1 - 2010/10

N2 - New x-ray imaging crystal spectrometers, currently operating on Alcator C-Mod, NSTX, EAST, and KSTAR, record spectral lines of highly charged ions, such as Ar16+, from multiple sightlines to obtain profiles of ion temperature and of toroidal plasma rotation velocity from Doppler measurements. In the present work, we describe a new data analysis routine, which accounts for the specific geometry of the sightlines of a curved-crystal spectrometer and includes corrections for the Johann error to facilitate the tomographic inversion. Such corrections are important to distinguish velocity induced Doppler shifts from instrumental line shifts caused by the Johann error. The importance of this correction is demonstrated using data from Alcator C-Mod.

AB - New x-ray imaging crystal spectrometers, currently operating on Alcator C-Mod, NSTX, EAST, and KSTAR, record spectral lines of highly charged ions, such as Ar16+, from multiple sightlines to obtain profiles of ion temperature and of toroidal plasma rotation velocity from Doppler measurements. In the present work, we describe a new data analysis routine, which accounts for the specific geometry of the sightlines of a curved-crystal spectrometer and includes corrections for the Johann error to facilitate the tomographic inversion. Such corrections are important to distinguish velocity induced Doppler shifts from instrumental line shifts caused by the Johann error. The importance of this correction is demonstrated using data from Alcator C-Mod.

UR - https://www.scopus.com/pages/publications/78149438732

UR - https://www.scopus.com/inward/citedby.url?scp=78149438732&partnerID=8YFLogxK

U2 - 10.1063/1.3491195

DO - 10.1063/1.3491195

M3 - Article

C2 - 21034027

AN - SCOPUS:78149438732

SN - 0034-6748

VL - 81

JO - Review of Scientific Instruments

JF - Review of Scientific Instruments

IS - 10

M1 - 10E329

ER -

Calculation of the Johann error for spherically bent x-ray imaging crystal spectrometers

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this