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

2. 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

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

4. Cold magnetized plasma
General theory
Cold magnetized plasma
Condon medium

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

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

7. 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

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

9. Numerical results: point charge Cold magnetized plasma

10. Numerical results: point charge & bunches Cold magnetized plasma

11. Numerical results: bunches Cold magnetized plasma

12. Numerical results
Condon medium

13. Numerical results
Condon medium

14. Numerical results
Condon medium
Gaussian bunch

15. Thank you for your attention!