Il Nuovo Cimento D

, Volume 3, Issue 3, pp 589–622

Treatment of Čerenkov Radiation from electric and magnetic charges in dispersive and dissipative media

  • M. H. Saffouri
Article

Summary

A rigorous treatment of the problem of Čerenkov radiation from fast-moving electric and magnetic charges is presented. This is based on the rigorous solution of Maxwell's equations in a general dispersive medium possessing dielectric and magnetic properties and with, and without, dissipation. It is shown that the fields are completely determined by one scalar function. Expressions for the exact fields are obtained. From the asymptotic fields all the relevant properties of Čerenkov radiation are reproduced. In particular, it is shown that, in the absence of dissipation, the energy in each mode travels with the phase velocity of that mode. For a dissipative medium the electric field develops a longitudinal component and the energy propagates at an angle to the phase velocity. Two experiments are suggested for the experimental detection of magnetic charges and electric-dipole moments of elementary particles based upon the Čerenkov radiation which they would emit in dispersive media.

PACS. 42.10.

Propagation and transmission in homogeneous media 

Riassunto

Si presenta un trattamento rigoroso del problema della radiazione di Čerenkov emessa da cariche elettriche e magnetiche in moto rapido. Questo trattamento è basato sulla soluzione rigorosa delle equazioni di maxwell in un generico mezzo dispersivo avente proprietà elettriche e magnetiche con e senza dissipazione. Si dimostra che i campi sono determinati completamente da una funzione scalare. Si ottengono espressioni per i campi esatti. Dai campi asintotici sono riprodotte tutte le piú importanti proprietà della radiazione di Čerenkov. In particolare, si dimostra che, in assenza di dissipazione, l'energia in ciascun modo viaggia con la stessa velocità di fase di quel modo. Per un mezzo dissipativo il campo elettrico sviluppa una componente longitudinale e l'energia si propaga con un angolo rispetto alla velocità di fase. Si suggeriscono due esperimenti per la rivelzione sperimentale delle cariche magnetiche e dei momenti di dipolo elettrico delle particelle elementari basati sulla radiazione di Čerenkov che esse dovrebbero emettere nei mezzi dispersivi.

Резюме

Предлагается строгое рассмотрение проблемы излучения Черенкова от быстрых злектрических и магнитных зарядов. Рассмотрение основано на сторгом решении уравнений Максвелла в диспергирующей среде, обладающей дизлектрическими и магнитными свойствами, с и без диссипации. Показывается, что выражения для полей. Асимптотика полей воспроизводит все свойства излучения Черенкова. В частности, показывается, что при отсутствии диссипации знергия в каждой моде распространяется с фазовой скоростью зтой моды. Для диссипативной среды злектрическое поле проявляет продольную компоненту и знергия распространяется под углом к фазовой скорости. Предлагаются два зксперимента для зкспериментального определения магнитных зарядов и злектрических дипольных моментов злементарных частиц, основанные на излучении Черенкова, которые испускают зти частицы в диспергиующей среде.

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Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • M. H. Saffouri
    • 1
    • 2
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.International School for Advanced Studies (SISSA)TriesteItaly

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