Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T20:47:34.989Z Has data issue: false hasContentIssue false
  • English
  • Français

X-ray Thomson scattering cross-section in strongly correlated plasmas

Published online by Cambridge University Press:  22 April 2009

C. Fortmann ,
T. Bornath ,
R. Redmer ,
H. Reinholz ,
G. Röpke ,
V. Schwarz  and
R. Thiele
C. Fortmann*
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
T. Bornath
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
R. Redmer
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
H. Reinholz
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
G. Röpke
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
V. Schwarz
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
R. Thiele
Affiliation:
Institut für Physik, Universität Rostock, Rostock, Germany
*
Address correspondence and reprint requests to: Carsten Fortmann, Institut für Physik, Universität Rostock, 18051 Rostock, Germany E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

With the advent of intense, coherent light sources in the XUV and soft X-ray regime, X-ray Thomson scattering becomes a unique tool for the diagnostics of dense plasmas. The scattering spectrum gives direct access to plasma properties like density, temperature, and composition. In dense systems, collisions among constituents are of primary importance for the prediction and interpretation of the scattering signal. We present a systematic approach to the dynamical structure factor using the Born-Mermin ansatz to include collisions via the dynamical collision frequency. Calculations of the scattering spectrum are performed for X-ray scattering on solid and compressed beryllium targets as well as for XUV-photons scattering on hydrogen at near solid density.

Keywords

Born-Mermin approximationCollision frequencyDynamic structure factorThomson scattering
Type
Research Article
Information
Laser and Particle Beams , Volume 27 , Issue 2 , June 2009 , pp. 311 - 319
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abramowitz, M. & Stegun, A., Eds. (1970). Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. New York: Dover Publications.Google Scholar
Ackermann, W., Asova, G., Ayvazyan, V., Azima, A., Baboi, N., Bähr, J., Balandin, V., Beutner, B., Brandt, A., Bolzmann, A., Brinkmann, R., Brovko, O.I., Castellano, M., Castro, P., Catani, L., Chiadroni, E., Choroba, S., Cianchi, A., Costello, J.T., Cubaynes, D., Dardis, J., Decking, W., Delsim-Hashemi, H., Delserieys, A., Pirro, G.D., Dohlus, M., Düsterer, S., Eckhardt, A., Edwards, H.T., Faatz, B., Feldhaus, J., Flöttmann, K., Frisch, J., Fröhlich, L., Garvey, T., Gensch, U., Gerth, C., Görler, M., Golubeva, N., Grabosch, H.J., Grecki, M., Grimm, O., Hahn, K.H.U., Han, J.H., Honkavaara, K., Hott, T., Hüning, M., Ivanisenko, Y., Jaeschke, E., Jalmuzna, W., Jezynski, T., Kammering, R., Katalev, V., Kavanagh, K., Kennedy, E.T., Khodyachykh, S., Klose, K., Kocharyan, V., Körfer, M., Kollewe, M., Koprek, W., Korepanov, S., Kostin, D., Krassilnikov, M., Kube, G., Kuhlmann, M., Lewis, C.L.S., Lilje, L., Limberg, T., Lipka, D., Löhl, F., Luna, H., Luong, M., Martins, M., Meyer, M., Michelato, P., Miltchev, V., Möller, W.D., Monaco, L., Müller, W.F.O., Napieralski, O., Napoly, O., Nicolosi, P., Nölle, D., Nuñez, T., Oppelt, A., Pagani, C., Paparella, R., Pchalek, N., Pedregosa-Gutierrez, J., Petersen, B., Petrosyan, B., Petrosyan, G., Petrosyan, L., Pflüger, J., Plönjes, E., Poletto, L., Pozniak, K., Prat, E., Proch, D., Pucyk, P., Radcliffe, P., Redlin, H., Rehlich, K., Richter, M., Roehrs, M., Roensch, J., Romaniuk, R., Ross, M., Rossbach, J., Rybnikov, V., Sachwitz, M., Saldin, E.L., Sandner, W., Schlarb, H., Schmidt, B., Schmitz, M., Schmüser, P., Schneider, J.R., Schneidmiller, E.A., Schnepp, S., Schreiber, S., Seidel, M., Sertore, D., Shabunov, A.V., Simon, C., Simrock, S., Sombrowski, E., Sorokin, A.A., Spanknebel, P., Spesyvtsev, R., Staykov, L., Steffen, B., Stephan, F., Stulle, F., Thom, H., Tiedtke, K., Tischer, M., Toleikis, S., Treusch, R., Trines, D., Tsakov, I., Vogel, E., Weiland, T., Weise, H., Wellhöfer, M., Wendt, M., Will, I., Winter, A., Wittenburg, K., Wurth, W., Yeates, P., Yurkov, M.V., Zagorodnov, I. & Zapfe, K. (2007). Operation of a free-electron laser from the extreme ultraviolet to the water window. Nat. Photo. 1, 336–342.CrossRefGoogle Scholar
Arista, N.R. & Brandt, W. (1984). Dielectric response of quantum plasmas in thermal equilibrium. Phys. Rev. A 29, 1471–1480.CrossRefGoogle Scholar
Bessonov, E., Gorbunkov, M., Ishkhanov, B., Kostryukov, P., Maslova, Y., Shvedunov, V., Tunkin, V. & Vinogradov, A. (2008). Laser-electron generator for x-ray applications in science and technology. Laser Part. Beams 26, 489–495.CrossRefGoogle Scholar
Cao, L., Uschmann, I., Zamponi, F., Kämmpfer, T., Fuhrmann, A., Förster, E., Höll, A., Redmer, R., Toleikis, S., Tschentscher, T. & Glenzer, S. (2007). Space-time characterization of laser plasma interactions in the warm dense matter regime. Laser Part. Beams 25, 239–244.CrossRefGoogle Scholar
Chihara, J. (2000). Interaction of photons with plasmas and liquid metals - photoabsorption and scattering. J. Phys.: Condens. Matter 12, 231–247.Google Scholar
Garcia Saiz, E., Gregori, G., Gericke, D.O., Vorberger, J., Barbrel, B., Clarke, R.J., Freeman, R.R., Glenzer, S.H., Khattak, F.Y., Koenig, M., Landen, O.L., Neely, D., Neumayer, P., Notley, M.M., Pelka, A., Price, D., Roth, M., Schollmeier, M., Spindloe, C., Weber, R.L., van Woerkom, L., Wunsch, K. & Riley, D. (2008). Probing warm dense lithium by inelastic xray scattering. Nat. Phys. 4, 940–944.CrossRefGoogle Scholar
Glenzer, S.H., Gregori, G., Lee, R.W., Rogers, F.J., Pollaine, S.W. & Landen, O.L. (2003). Demonstration of spectrally resolved x-ray scattering in dense plasmas. Phys. Rev. Lett. 90, 175002.CrossRefGoogle ScholarPubMed
Glenzer, S.H., Landen, O.L., Neumayer, P., Lee, R.W., Widmann, K., Pollaine, S.W., Wallace, R.J., Gregori, G., Höll, A., Bornath, T., Thiele, R., Schwarz, V., Kraeft, W.D. & Redmer, R. (2007). Observations of plasmons in warm dense matter. Phys. Rev. Lett. 98, 065002.CrossRefGoogle ScholarPubMed
Gregori, G., Glenzer, S.H., Rozmus, W., Lee, R.W. & Landen, O.L. (2003). Theoretical model of x-ray scattering as a dense matter probe. Phys. Rev. E 67, 026412.CrossRefGoogle ScholarPubMed
Gregori, G., Ravasio, A., Höll, , Glenzer, S.H. & Rose, S.J. (2007). Derivation of the static structure factor in strongly coupled non-equilibrium plasmas for x-ray scattering studies. Hig. Ener. Den. Phys. 3, 99–108.CrossRefGoogle Scholar
Höll, A., Bornath, T., Cao, L., Döppner, T., Düsterer, S., Förster, E., Fortmann, C., Glenzer, S., Gregori, G., Laarmann, T., Meiwes-Broer, K.H., Przystawik, A., Radcliffe, P., Redmer, R., Reinholz, H., Röpke, G., Thiele, R., Tiggesbumker, J., Toleikis, S., Truong, N., Tschentscher, T., Uschmann, I. & Zastrau, U. (2007). Thomson scattering from near-solid density plasmas using soft x-ray free electron lasers. J. Hig. Ener. Dens. Phys. 3, 120–130.CrossRefGoogle Scholar
Holst, B., Redmer, R. & Desjarlais, M.P. (2008). Thermophysical properties of warm dense hydrogen using quantum molecular dynamics simulations. Phys. Rev. B 77, 184201.CrossRefGoogle Scholar
Hutchinson, I.H. (1987). Principles of Plasma Diagnostics. Cambridge: Cambridge University Press.Google Scholar
Kritcher, A.L., Neumayer, P., Castor, J., Döppner, T., Falcone, R.W., Landen, O.L., Lee, H.J., Lee, R.W., Morse, E.C., Ng, A., Pollaine, S., Price, D. & Glenzer, S.H. (2008). Ultrafast x-ray thomson scattering of shock-compressed matter. Sci. 322, 69–71.CrossRefGoogle ScholarPubMed
Kulagin, V., Cherepenin, V., Hur, M., Lee, J. & Suk, H. (2008). Evolution of a highdensity electron beam in the field of a super-intense laser pulse. Laser Part. Beams 26, 397–409.CrossRefGoogle Scholar
Landen, O.L., Glenzer, S.H., Edwards, M.J., Lee, R.W., Collins, G.W., Cauble, R.C., Hsing, W.W. & Hammel, B.A. (2001). Dense matter characterization by x-ray thomson scattering. J. Quant. Spectrosc. Rad. Transf. 71, 465–478.CrossRefGoogle Scholar
Lee, R.W., Baldis, H.A., Cauble, R.C., Landen, O.L., Wark, J.S., Ng, A., Rose, S.J., Lewis, C., Riley, D., Gauthier, J.C. & Audebert, P. (2003 a). Plasma-based studies with intense x-ray and particle beam sources. Laser Part. Beams 20, 527–536.CrossRefGoogle Scholar
Lee, R.W., Moon, S.J., Chung, H.K., Rozmus, W., Baldis, H.A., Gregori, G., Cauble, R.C., Landen, O.L., Wark, J.S., Ng, A., Rose, S.J., Lewis, C.L., Riley, D., Gauthier, J.C. & Audebert, P. (2003 b). Finite temperature dense matter studies on next-generation light sources. J. Opt. Soc. Am. B 20, 770–778.CrossRefGoogle Scholar
Mahan, G.D. (1981). Many-Particle Physics. New York: Plenum Press.Google Scholar
Mermin, N.D. (1970). Lindhard dielectric function in the relaxation-time approximation. Phys. Rev. B 1, 2362–2363.CrossRefGoogle Scholar
Militzer, B. & Pollock, E.L. (2005). Equilibrium contact probabilities in dense plasmas. Phys. Revi. B (Condensed) 71, 134303.CrossRefGoogle Scholar
Priebe, G., Laundy, D., Macdonald, M., Diakun, G., Jamison, S., Jones, L., Holder, D., Smith, S., Phillips, P., Fell, B., Sheehy, B., Naumova, N., Sokolov, I., Ter-Avetisyan, S., Spohr, K., Krafft, G., Rosenzweig, J., Schramm, U., Grüner, F., Hirst, G., Collier, J., Chattopadhyay, S. & Seddon, E. (2008). Inverse compton backscattering source driven by the multi-10 tw laser installed at daresbury. Laser Part. Beams 26, 649–660.CrossRefGoogle Scholar
Redmer, R., Reinholz, H., Röpke, G., Thiele, R. & Höll, A. (2005). Theory for x-ray thomson scattering in dense plasmas. IEEE Trans. Plasma Sc. 33, 77–84.CrossRefGoogle Scholar
Reinholz, H., Redmer, R., Röpke, G. & Wierling, A. (2000). Long-wavelength limit of the dynamical local-field factor and dynamical conductivity of a two-component plasma. Phys. Rev. E 62, 5648–5666.CrossRefGoogle ScholarPubMed
Reinholz, H., Morozov, I., Röpke, G. & Millat, T. (2004). Internal versus external conductivity of a dense plasma: Many-particle theory and simulations. Phys. Rev. E 69, 066412.CrossRefGoogle Scholar
Riley, D., Khattak, F., Garcia Saiz, E., Gregori, G., Bandyopadhyay, S., Notley, M., Neely, D., Chambers, D., Moore, A. & Comley, A. (2007). Spectrally resolved x-ray scatter from laser-shock-driven plasmas. Laser Part. Beams 25, 465–469.CrossRefGoogle Scholar
Riley, D., Weaver, I., McSherry, D., Dunne, M., Neely, D., Notley, M. & Nardi, E. (2002). Direct observation of strong coupling in a dense plasma. Phys. Rev. E 66, 046408.CrossRefGoogle Scholar
Röpke, G., Redmer, R., Wierling, A. & Reinholz, H. (1999). Response function including collisions for an interacting fermion gas. Phys. Rev. E 60, R2484–R2487.CrossRefGoogle ScholarPubMed
Sahoo, S., Gribakin, G.F., Naz, G.S., Kohanoff, J. & Riley, D. (2008). Compton scatter profiles for warm dense matter. Phys. Rev. E 77, 046402.CrossRefGoogle ScholarPubMed
Schwarz, V., Bornath, T., Kraeft, W.D., Glenzer, S., Höll, A. & Redmer, R. (2007). Hypernetted chain calculations for two component plasmas. Contrib. Plasma Phys. 47, 324–330.CrossRefGoogle Scholar
Selchow, A., Röpke, G., Wierling, A., Reinholz, H., Pschiwul, T. & Zwicknagel, G. (2001). Dynamic structure factor for a two-component model plasma. Phys. Rev. E 64, 056410.CrossRefGoogle ScholarPubMed
Snyder, S.C., Reynolds, L.D., Fincke, J.R., Lassahn, G.D., Grandy, J.D. & Repetti, T.E. (1994). Electron-temperature and electron-density profiles in an atmospheric-pressure argon plasma jet. Phys. Rev. E 50, 519–525.CrossRefGoogle Scholar
Thiele, R., Bornath, T., Fortmann, C., Höll, A., Redmer, R., Reinholz, H., Röpke, G., Wierling, A., Glenzer, S.H. & Gregori, G. (2008). Plasmon resonance in warm dense matter. Phys. Rev. E 78, 026411.CrossRefGoogle ScholarPubMed
Thiele, R., Redmer, R., Reinholz, H. & Röpke, G. (2006). Using the gould-dewitt scheme to approximate the dynamic collision frequency in a dense electron gas. J. Phys. A 39, 4365–4368.CrossRefGoogle Scholar
Thiele, R. (2007). Thomsonstreuung in warmer und dichter Materie. Ph.D. thesis, Rostock University.Google Scholar
Zastrau, U., Fortmann, C., Fäustlin, R.R., Cao, L., Döppner, T., Glenzer, S.H., Gregori, G., Laarmann, T., Lee, H.J., Przystawik, A., Radcliffe, P., Reinholz, H., Röpke, G., Thiele, R., Tiggesbäumker, J., Truong, X.N., Toleikis, S., Uschmann, I., Wierling, A., Tschentscher, T., Förster, E. & Redmer, R. (2008). Bremsstrahlung and line spectroscopy of warm dense aluminum plasma generated by xuv free electron lasers. Phys. Rev. E 78, 066406.CrossRefGoogle Scholar
Zubarev, D., Morozov, V. & Röpke, G. (1996). Statistical Mechanics of Nonequilibrium Processes. Berlin: Akademie Verlag.Google Scholar