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Title: Reconstructive correction of aberrations in nuclear particle spectrographs

Abstract

A method is presented that allows the reconstruction of trajectories in particle spectrographs and the reconstructive correction of residual aberrations that otherwise limit the resolution. Using a computed or fitted high order transfer map that describes the uncorrected aberrations of the spectrograph, it is possible to calculate a map via an analytic recursion relation that allows the computation of the corrected data of interest such as reaction energy and scattering angle as well as the reconstructed trajectories in terms of position measurements in two planes near the focal plane. The technique is only limited by the accuracy of the position measurements, the incoherent spot sizes, and the accuracy of the transfer map. In practice the method can be expressed as an inversion of a nonlinear map and implemented in the differential algebraic framework. The method is applied to correct residual aberrations in the S800 spectrograph which is under construction at the National Superconducting Cyclotron Laboratory at Michigan State University and to two other high resolution spectrographs.

Authors:
; ; ; ;  [1]
  1. (Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States))
Publication Date:
OSTI Identifier:
5649353
Alternate Identifier(s):
OSTI ID: 5649353
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, C (Nuclear Physics); (United States); Journal Volume: 47:2
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; MASS SPECTROSCOPY; RESOLUTION; CHARGED PARTICLES; COMPUTERIZED SIMULATION; NUCLEAR REACTIONS; TRAJECTORIES; SIMULATION; SPECTROSCOPY 440103* -- Radiation Instrumentation-- Nuclear Spectroscopic Instrumentation

Citation Formats

Berz, M., Joh, K., Nolen, J.A., Sherrill, B.M., and Zeller, A.F. Reconstructive correction of aberrations in nuclear particle spectrographs. United States: N. p., 1993. Web. doi:10.1103/PhysRevC.47.537.
Berz, M., Joh, K., Nolen, J.A., Sherrill, B.M., & Zeller, A.F. Reconstructive correction of aberrations in nuclear particle spectrographs. United States. doi:10.1103/PhysRevC.47.537.
Berz, M., Joh, K., Nolen, J.A., Sherrill, B.M., and Zeller, A.F. Mon . "Reconstructive correction of aberrations in nuclear particle spectrographs". United States. doi:10.1103/PhysRevC.47.537.
@article{osti_5649353,
title = {Reconstructive correction of aberrations in nuclear particle spectrographs},
author = {Berz, M. and Joh, K. and Nolen, J.A. and Sherrill, B.M. and Zeller, A.F.},
abstractNote = {A method is presented that allows the reconstruction of trajectories in particle spectrographs and the reconstructive correction of residual aberrations that otherwise limit the resolution. Using a computed or fitted high order transfer map that describes the uncorrected aberrations of the spectrograph, it is possible to calculate a map via an analytic recursion relation that allows the computation of the corrected data of interest such as reaction energy and scattering angle as well as the reconstructed trajectories in terms of position measurements in two planes near the focal plane. The technique is only limited by the accuracy of the position measurements, the incoherent spot sizes, and the accuracy of the transfer map. In practice the method can be expressed as an inversion of a nonlinear map and implemented in the differential algebraic framework. The method is applied to correct residual aberrations in the S800 spectrograph which is under construction at the National Superconducting Cyclotron Laboratory at Michigan State University and to two other high resolution spectrographs.},
doi = {10.1103/PhysRevC.47.537},
journal = {Physical Review, C (Nuclear Physics); (United States)},
number = ,
volume = 47:2,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 1993},
month = {Mon Feb 01 00:00:00 EST 1993}
}