Electromagnetic Field of Charged Particle Bunches Moving in Gyrotropic Media Sergey N. Galyamin, Andrey V. Tyukhtin Saint Petersburg State University Physical faculty Radiophysics Department

Formulation of the problem gyrotropic (chiral) medium Anisotropic chiral medium Isotropic chiral medium Cold magnetized plasma Condon medium The problem statement is the following. We consider the cylindrical frame ro, phi, z. In the plane z=0 the interface between vacuum and uniaxial crystal is placed. A point charge q moves with constant velocity from vacuum into medium, the charge movement rule is the following. We suppose the crystal being nonmagnetic with the plasma frequency dispersion (with losses) of their components. As you can see, this is the classical formulation of the transition radiation problem. The question appears: “What is new here?” However the usual think which is analyzed in this problem is spectral-angle distribution of the radiated energy. But the main goal of this report is to investigate in detail the structure of the EMF with taking into account specific frequency dispersion and small losses. negligible losses

General theory Cold magnetized plasma Condon medium complex elliptical polarization right-hand circular polarization left-hand circular polarization

Cold magnetized plasma General theory Cold magnetized plasma Condon medium

General theory Cold magnetized plasma Condon medium Asymptotic properties of integrands SDP asymptote Sectors of integrands vanishing

Analytical results (with surprises) Cold magnetized plasma Condon medium exact roots ultrarelativistic motion weak chirality low frequencies relativistic motion high frequencies

Cold magnetized plasma Analytical results Cold magnetized plasma wave field (VCR) quasistatic field Condon medium – branch points – cuts – poles of Представлены зависимости компонент тензора от частоты и вид комплексной плоскости

Cold magnetized plasma stationary point approach Analytical results Cold magnetized plasma singular vanishing stationary point approach

Numerical results: point charge Cold magnetized plasma

Numerical results: point charge & bunches Cold magnetized plasma

Numerical results: bunches Cold magnetized plasma

Numerical results Condon medium

Numerical results Condon medium

Numerical results Condon medium Gaussian bunch

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