Radiation from Relativistic Electrons in Periodic Structures "RREPS-23" & Electron, Positron, Neutron and X-ray Scattering under External Influences "Meghri-23"

Cherenkov radiation from relativistic heavy ions with taking account of slowing-down in terms of the diffraction theory

18 Sept 2023, 17:30

1m

Poster Transition Radiation, Cherenkov Radiation Poster session I

Speaker

Dr Oleg Bogdanov (Tomsk Polytechnic University)

Description

The analogy of the Cherenkov radiation (ChR) theory with the theory of diffraction was first noted by I.M. Frank, who connected the ChR coherence condition with Fresnel zones, see a detailed presentation in the review by B.M. Bolotovsky [1]. This relationship has been traced for ChR with uniform and rectilinear motion of a charged particle in an optically transparent radiator. In the case of a multiply charged relativ-istic heavy ion (RHI), when moving in a radiator, the velocity decreases due to ionization energy losses. Therefore, the calculations of the characteristics of ChR (more precisely, the optical mixed Cherenkov-bremsstrahlung radiation) become more complicated [2-10].
In this work characteristics of the ChR from RHI, taking into account deceleration in a thin radiator, using an analogy with the Huygens-Fresnel diffraction theory were estimated and it was shown how the Cornu spiral, known in physical optics, arises in the theory of ChR from RHI and how it can be used for a qualitative and quantitative analysis of the shape and a quick assessment of the width of the angular distri-bution of the ChR from RHI.

References:
[1] B.M. Bolotovsky, Proceedings of FIAN, Vol. 140 (1982) P. 95.
[2] O.V. Bogdanov, E.I. Fiks, Yu.L. Pivovarov, J. Phys.: Conf. Ser. Vol. 357 (2012) 012002. P.1.
[3] O.V. Bogdanov, E.I. Fiks, Yu.L. Pivovarov, JETP. Vol. 115 No. 3 (2012) P. 392.
[4] E.I. Fiks, O.V. Bogdanov, Y.L. Pivovarov, H. Geissel, C. Scheidenberger, J. Ruzicka, Nucl. Instr. Meth. Phys. Res. B 314 (2013) P. 51
[5] E.I. Fiks, O.V. Bogdanov, Y.L. Pivovarov, H. Geissel, C. Scheidenberger, Nucl. Instr. Meth. Phys. Res. B Vol. 309 (2013) P. 146.
[6] E.I. Fiks, Y.L. Pivovarov, Russian Physics Journal Vol. 56 No. 4 (2013) P. 456.
[7] Y. Takabayashi, E.I. Fiks, Yu.L. Pivovarov. Phys. Lett. A Vol. 379 (2015) P. 1032.
[8] E.I. Fiks, Yu.L. Pivovarov, O.V. Bogdanov Nucl. Instr. Meth. Phys. Res. B Vol. 355 (2015) P. 86.
[9] E.I. Rozhkova, Yu.L. Pivovarov, Phys. Lett. A (2016) Vol. 380 P. 2386.
[10] E.I. Fiks, Yu.L. Pivovarov Nucl. Instr. Meth. Phys. Res. B Vol. 355 (2015) P. 184.