[en] We present a detailed quantum electrodynamical description of Vavilov-Cherenkov radiation emitted by a relativistic twisted electron in the transparent medium. Simple expressions for the spectral and spectral-angular distributions as well as for the polarization properties of the emitted radiation are obtained. Unlike the plane-wave case, the twisted electron produces radiation within the annular angular region, with enhancement towards its boundaries. Additionally, the emitted photons can have linear polarization not only in the scattering plane but also in the orthogonal direction. We find that the Vavilov-Cherenkov radiation emitted by an electron in a superposition of two vortex states exhibits a strong azimuthal asymmetry. Thus, the Vavilov-Cherenkov radiation offers itself as a convenient diagnostic tool of such electrons and complements the traditional microscopic imaging.
Disciplines :
Physics
Author, co-author :
Ivanov, Igor ; Université de Liège > Département d'astrophys., géophysique et océanographie (AGO) > Inter. fondamentales en physique et astrophysique (IFPA)
Serbo, Valery
Zaytsev, Vladimir
Language :
English
Title :
Quantum calculation of the Vavilov-Cherenkov radiation by twisted electrons
Publication date :
19 May 2016
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
P. A. Cherenkov, Dokl. Akad. Nauk SSSR 2, 451 (1934);
S. I. Vavilov, Dokl. Akad. Nauk SSSR 2, 457 (1934).
I. M. Frank and I. E. Tamm, Dokl. Akad. Nauk 14, 107 (1937).
V. L. Ginzburg, Zh. Eksp. Teor. Fiz. 10, 589 (1940).
A. Sokolov, Dokl. Akad. Nauk SSSR 28, 415 (1940).
J. M. Jauch and K. M. Watson, Phys. Rev. 74, 1485 (1948). PHRVAO 0031-899X 10.1103/PhysRev.74.1485
V. L. Ginzburg, Sov. Phys. Usp. 2, 874 (1960). SOPUAP 0038-5670 10.1070/PU1960v002n06ABEH003185
B. M. Bolotovskii, Sov. Phys. Usp. 4, 781 (1962). SOPUAP 0038-5670 10.1070/PU1962v004n05ABEH003380
B. M. Bolotovskii, Sov. Phys. Usp. 52, 1099 (2009). PHUSEY 1063-7869 10.3367/UFNe.0179.200911c.1161
V. L. Ginzburg, Theoretical Physics and Astrophysics (Pergamon, Oxford, 1979).
G. N. Afanasyev, Vavilov-Cherenkov and Synchrotron Radiation: Foundations and Applications (Kluwer Academic, Dordrecht, 2005).
I. Kaminer, M. Mutzafi, A. Levy, G. Harari, H. Herzig Sheinfux, S. Skirlo, J. Nemirovsky, J. D. Joannopoulos, M. Segev, and M. Soljačić, Phys. Rev. X 6, 011006 (2016). 10.1103/PhysRevX.6.011006 S. Iablokov, arXiv:1511.05518.
K. Y. Bliokh, Y. P. Bliokh, S. Savel'ev, and F. Nori, Phys. Rev. Lett. 99, 190404 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.190404
M. Uchida and A. Tonomura, Nature (London) 464, 737 (2010) NATUAS 0028-0836; 10.1038/nature08904
J. Verbeeck, H. Tian, and P. Schlattschneider, Nature (London) 467, 301 (2010). NATUAS 0028-0836 10.1038/nature09366
B. J. McMorran, Science 331, 192 (2011). SCIEAS 0036-8075 10.1126/science.1198804
G. Guzzinati, Exploring electron beam shaping in transmission electron microscopy, Ph.D. thesis, University of Antwerp, 2015.
I. P. Ivanov and D. V. Karlovets, Phys. Rev. Lett. 110, 264801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.264801
I. P. Ivanov and D. V. Karlovets, Phys. Rev. A 88, 043840 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.043840
V. M. Budnev, I. F. Ginzburg, G. V. Meledin, and V. G. Serbo, Phys. Rep. 15, 181 (1975). PRPLCM 0370-1573 10.1016/0370-1573(75)90009-5
V. N. Baier, V. S. Fadin, V. A. Khoze, and E. A. Kuraev, Phys. Rep. 78, 293 (1981). PRPLCM 0370-1573 10.1016/0370-1573(81)90140-X
V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Butterworth-Heinemann, Oxford, 1982), Vol. 4.
V. Serbo, I. P. Ivanov, S. Fritzsche, D. Seipt, and A. Surzhykov, Phys. Rev. A 92, 012705 (2015). PLRAAN 1050-2947 10.1103/PhysRevA.92.012705
U. D. Jentschura and V. G. Serbo, Eur. Phys. J. C 71, 1571 (2011). EPCFFB 1434-6044 10.1140/epjc/s10052-011-1571-z
I. P. Ivanov, Phys. Rev. D 83, 093001 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.093001
G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, Phys. Rev. Lett. 110, 093601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.093601
T. Takahashi, Y. Shibata, K. Ishi, M. Ikezawa, M. Oyamada, and Y. Kondo, Phys. Rev. E 62, 8606 (2000). 1063-651X 10.1103/PhysRevE.62.8606
A. P. Potylitsyn, Y. A. Popov, L. G. Sukhikh, G. A. Naumenko, and M. V. Shevelev, J. Phys.: Conf. Ser. 236, 012025 (2010). 1742-6596 10.1088/1742-6596/236/1/012025
K. Saitoh, Y. Hasegawa, N. Tanaka, and M. Uchida, J. Electron Microsc. (Tokyo) 61, 171 (2012).
M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).
D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
O. Matula, A. G. Hayrapetyan, V. G. Serbo, A. Surzhykov, and S. Fritzsche, J. Phys. B 46, 205002 (2013). JPAPEH 0953-4075 10.1088/0953-4075/46/20/205002
A. Gervois and H. Navelet, J. Math. Phys. (N.Y.) 25, 3350 (1984). JMAPAQ 0022-2488 10.1063/1.526062
I. P. Ivanov and V. G. Serbo, Phys. Rev. A 84, 033804 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.033804