Scattering Properties of Chaotic Microwave Billiards

• Authors: H. Stöckmann
• Languages of publication: EN

Abstracts

EN

Reflection and transmission measurements in microwave billiards with attached antennas allow the determination of all components of the scattering matrix including their phases. This is an extraordinary situation, since in usual scattering experiments in nuclear or atomic physics only reduced information such as the scattering cross-section can be obtained where the phase information is completely lost. This allows experimental tests of theoretical predictions of scattering theory inaccessible by any other method. As an example the distribution of reflection coefficients and of the line widths in a chaotic microwave billiard are discussed.

Keywords

EN

03.65.Nk; 05.45.Mt

Discipline

• 03.65.Nk: Scattering theory
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 5
• Pages: 783-789

Dates

published

2009-11

Contributors

author

H. Stöckmann

• Fachbereich Physik der Philipps-Universität Marburg, D-35032 Marburg, Germany

References

• 1. C. Mahaux, H.A. Weidenmüller, Shell-Model Approach to Nuclear Reactions, North-Holland, Amsterdam 1969
• 2. T. Guhr, A. Müller-Groeling, H.A. Weidenmüller, Phys. Rep. 299, 189 (1998)
• 3. M.L. Mehta, Random Matrices, 2nd ed., Academic Press, San Diego 1991
• 4. J.J.M. Verbaarschot, H.A. Weidenmüller, M.R. Zirnbauer, Phys.] Rep. 129, 367 (1985)
• 5. C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997)
• 6. H.-J. Stöckmann, Quantum Chaos - An Introduction, University Press, Cambridge 1999
• 7. R.A. Méndez-Sánchez, U. Kuhl, M. Barth, C.H. Lewenkopf, H.-J. Stöckmann, Phys. Rev. Lett. 91, 174102 (2003)
• 8. H. Schanze, E.R.P. Alves, C.H. Lewenkopf, H.-J. Stöckmann, Phys. Rev. E 64, 065201(R) (2001)
• 9. S. Hemmady, X. Zheng, E. Ott, T.M. Antonsen, S.M. Anlage, Phys. Rev. Lett. 94, 014102 (2005)
• 10. O. Hul, O. Tymoshchuk, S. Bauch, P. Koch, L. Sirko, J. Phys. A 38, 10489 (2005)
• 11. J. Barthélemy, O. Legrand, F. Mortessagne, Phys. Rev. E 71, 016205 (2005)
• 12. U. Kuhl, H.-J. Stöckmann, R. Weaver, J. Phys. A 38, 10433 (2005)
• 13. P.W. Brouwer, C.W.J. Beenakker, Phys. Rev. B 50, 11263 (1994)
• 14. E. Kogan, P.A. Mello, H. Liqun, Phys. Rev. E 61, R17 (2000)
• 15. Y.V. Fyodorov, D.V. Savin, JETP Lett. 80, 725 (2004)
• 16. E. Persson, I. Rotter, H.-J. Stöckmann, M. Barth, Phys. Rev. Lett. 85, 2478 (2000)
• 17. M.R. Wall, D. Neuhauser, J. Chem. Phys. 102, 8011 (1995)
• 18. V.A. Mandelshtam, H.S. Taylor, J. Chem. Phys. 107, 6756 (1997)
• 19. J. Main, Phys. Rep. 316, 233 (1999)
• 20. J. Wiersig, J. Main, Phys. Rev. E 77, 036205 (2008)
• 21. U. Kuhl, R. Höhmann, J. Main, H.-J. Stöckmann, Phys. Rev. Lett. 100, 254101 (2008)
• 22. H.J. Sommers, Y.V. Fyodorov, M. Titov, J. Phys. A 32, L77 (1999)
• 23. Y.V. Fyodorov, D.V. Savin, H.-J. Sommers, J. Phys. A 38, 10731 (2005)

Identifiers

DOI

10.12693/APhysPolA.116.783