The Role of a Specific Response of Media in the Vavilov-Cherenkov Effect |
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| Authors: | M Villavicencio J A E Roa-Neri J L Jiménez |
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| Institution: | (1) Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 16-225, 02011 México D. F., México;(2) área de Física Teórica y Materia Condensada División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco, Apartado Postal 16-225, 02011 México D. F., México;(3) Departamento de Física. División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 21-463, México D. F., 04000, México |
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| Abstract: | It is shown that the condition υ > υp (ω), which is necessary in order to trigger the Vavilov-Cherenkov effect, determines the interval of radiated frequencies
and it alone cannot establish a strong restriction to the velocity of the particle. It is exhibited that it is possible to
define a general lower bound for the velocity of the particle, which does not depend on the frequency when both, a specific
response of the medium is taken into account and the mentioned condition is considered. The minimum value of the phase velocity
of light in the medium determines the existence of such general lower bound. |
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| Keywords: | Vavilov-Cherenkov radiation response of continuous media dielectric function non dispersive media dispersive and transparent media mild absorbent media |
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