by MALGRANGE, C, CARVALHO, C, BRAICOVICH, L and GOULON, J
Abstract:
In this paper, the state of polarization of a quasi-monochromatic beam diffracted by a perfect crystal in the Bragg geometry is described in the framework of standard concepts of optics: the polarization transfer function (PTF), the coherence matrix, the Stokes decomposition, and the Mueller matrix. From simulations based on the dynamical theory of X-ray diffraction, we analyze how the phase and amplitude of the sigma and pi-polarization components vary during several successive reflections on perfect single crystals. Different crystal arrangements are then compared from the point of view of their polarization transfer properties, i.e. the conventional double crystal (+, -) monochromator, the antiparallel (dispersive) four-crystal setting and another four-crystal configuration with two `’twisted” two-crystal modules. The latter is discussed carefully as it makes it possible, in principle, to recover high circular polarization rates (even at Bragg angles approaching 45-degrees) but at the expense of increasing losses in the transmitted intensity. Of particular interest is the comparison of the polarization transfer properties of different crystal pairs, e.g. Si(111) or Ge(111) single crystals. Finally, we call attention to the potential advantages of using asymmetric reflections.
Reference:
TRANSFER OF CIRCULAR-POLARIZATION IN BRAGG CRYSTAL X-RAY MONOCHROMATORS (MALGRANGE, C, CARVALHO, C, BRAICOVICH, L and GOULON, J), In NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, ELSEVIER SCIENCE BV, volume 308, 1991.
Bibtex Entry:
@article{ ISI:A1991GN15300102, Author = {MALGRANGE, C and CARVALHO, C and BRAICOVICH, L and GOULON, J}, Title = {{TRANSFER OF CIRCULAR-POLARIZATION IN BRAGG CRYSTAL X-RAY MONOCHROMATORS}}, Journal = {{NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT}}, Year = {{1991}}, Volume = {{308}}, Number = {{1-2}}, Pages = {{390-396}}, Month = {{OCT 10}}, Note = {{9TH USSR NATIONAL CONF ON SYNCHROTRON RADIATION UTILIZATION ( SR 90 ), MOSCOW, USSR, JUN 26-29, 1990}}, Organization = {{ACAD SCI USSR, P N LEBEDEV PHYS INST; MOSCOW STATE UNIV; ACAD SCI USSR, SYNCHROTRON RADIAT COMMISS}}, Abstract = {{In this paper, the state of polarization of a quasi-monochromatic beam diffracted by a perfect crystal in the Bragg geometry is described in the framework of standard concepts of optics: the polarization transfer function (PTF), the coherence matrix, the Stokes decomposition, and the Mueller matrix. From simulations based on the dynamical theory of X-ray diffraction, we analyze how the phase and amplitude of the sigma and pi-polarization components vary during several successive reflections on perfect single crystals. Different crystal arrangements are then compared from the point of view of their polarization transfer properties, i.e. the conventional double crystal (+, -) monochromator, the antiparallel (dispersive) four-crystal setting and another four-crystal configuration with two `'twisted'' two-crystal modules. The latter is discussed carefully as it makes it possible, in principle, to recover high circular polarization rates (even at Bragg angles approaching 45-degrees) but at the expense of increasing losses in the transmitted intensity. Of particular interest is the comparison of the polarization transfer properties of different crystal pairs, e.g. Si(111) or Ge(111) single crystals. Finally, we call attention to the potential advantages of using asymmetric reflections.}}, Publisher = {{ELSEVIER SCIENCE BV}}, Address = {{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}}, Type = {{Article; Proceedings Paper}}, Language = {{English}}, Affiliation = {{MALGRANGE, C (Corresponding Author), UNIV PARIS 06,MINERAL & CRISTALLOG LAB,TOUR 16,4 PL JUSSIEU,F-75252 PARIS 05,FRANCE. EUROPEAN SYNCHROTRON RADIAT FAC,F-38043 GRENOBLE,FRANCE. POLITECN MILAN,IST FIS,I-20133 MILAN,ITALY. UNIV PARIS 07,F-75252 PARIS 05,FRANCE.}}, DOI = {{10.1016/0168-9002(91)90676-H}}, ISSN = {{0168-9002}}, Research-Areas = {{Instruments & Instrumentation; Nuclear Science & Technology; Physics}}, Web-of-Science-Categories = {{Instruments & Instrumentation; Nuclear Science & Technology; Physics, Nuclear; Physics, Particles & Fields}}, ORCID-Numbers = {{Braicovich, Lucio/0000-0001-6548-9140}}, Number-of-Cited-References = {{15}}, Times-Cited = {{18}}, Usage-Count-Last-180-days = {{0}}, Usage-Count-Since-2013 = {{1}}, Journal-ISO = {{Nucl. Instrum. Methods Phys. Res. Sect. A-Accel. Spectrom. Dect. Assoc. Equip.}}, Doc-Delivery-Number = {{GN153}}, Unique-ID = {{ISI:A1991GN15300102}}, DA = {{2020-12-22}}, }
Comments are closed