Abstract

The radiation field of relativistic charged particles moving in media with resonant dispersion is analyzed using the stationary phase method. Three medium models are considered: a model typical for dielectrics, a model typical for magnetics, and a model typical for the left-handed medium. Equations determining stationary points are obtained, and the conditions for the existence of one or two stationary points are found. A simple analytical expression for stationary points in the case of ultrarelativistic motion in resonant dielectric or magnetic materials is given. In the case of an arbitrary velocity, an algorithm for solving the stationary point equation and for computing the radiation field is developed. The results of this algorithm are compared with those obtained by computation of the field using exact formulae. Typical dependences of the field on distance from the charged particle are presented. It is shown that, for the case of the left-handed medium, the radiation field is formed at larger distances behind the charge compared with the cases of typical dielectric and magnetic materials. It is found that the radiation field can possess beats that are more pronounced in the left-handed medium.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (32)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription