Abstract
In 1934 P.A. Čerenkov performed a series of experiments on the luminescence emitted by certain liquid solutions, if irradiated with gamma rays deriving from radioactive sources. During the experiments, which continued until 1938, Čerenkov realized that the gamma rays cause a very weak electromagnetic radiation, even in pure solvents such as water and benzene, resulting in a dim blue light. However, an in-depth analysis of the physical properties of the emitted light revealed that the observed effect could not be a luminescence phenomenon. In first place, the Čerenkov radiation was emitted along a cone of directions forming a well-defined angle with the direction of the incident gamma rays and, in second place, the radiation was linearly polarized , and, in fact, none of these properties are inherent in luminescence. In addition, the observed radiation had universal character, in that these distinctive features were independent of the specific properties of the solutions used, such as their temperature and chemical composition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
K(x) corresponds to the modified Bessel function of the second type of order zero. Usually, in handbooks, it is denoted by the symbol \(K_0(x)\).
- 2.
\(\widetilde{K}(x)\) is proportional to the modified Bessel function of the first type of order zero \(I_0(x)= J_0(ix)\), namely \(\widetilde{K}(x)=\pi I_0(x)\).
- 3.
The function \(H_0^{(2)}(x)= J_0(x)-iY_0(x)\) is called Hankel function of order zero.
- 4.
- 5.
Clearly, depending on the precise form of the function \(n(\omega )\), the fields \(A_K^\mu \) and \(F_K^{\mu \nu }\) could decrease even faster as indicated in (13.85).
References
I.M. Frank, I.E. Tamm, Coherent visible radiation of fast electrons passing through matter. Compt. Rend. Acad. Sci. USSR 14, 109 (1937)
J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1998)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (U.S. Government Printing Office, Washington, 1964)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Lechner, K. (2018). The Čerenkov Effect. In: Classical Electrodynamics. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-91809-9_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-91809-9_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-91808-2
Online ISBN: 978-3-319-91809-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)