TY - JOUR

T1 - Wave equations for a relativistic magnetoplasma

AU - van Bruggen-Kerkhof, Marianne J.

AU - Kamp, Leon P.J.

AU - Sluijter, Frans W.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - The linearized relativistic Vlasov-Maxwell system for a hot inhomogeneous relativistic magnetized electron plasma is studied through particle orbit theory using the techniques of Fourier transform. An analytical integral expression in the (k, omega )-space is obtained for the current density for waves propagating across an externally applied uniform static magnetic field (k is the wavenumber and omega is the wave frequency). After applying inverse Fourier transform, differential equations for the electric field are obtained from the expression for the current density combined with Maxwell's equations. These fully relativistic equations are correct up to second order in rc/L. where rc is the electron gyroradius and L is the gradient length of the plasma inhomogeneity.

AB - The linearized relativistic Vlasov-Maxwell system for a hot inhomogeneous relativistic magnetized electron plasma is studied through particle orbit theory using the techniques of Fourier transform. An analytical integral expression in the (k, omega )-space is obtained for the current density for waves propagating across an externally applied uniform static magnetic field (k is the wavenumber and omega is the wave frequency). After applying inverse Fourier transform, differential equations for the electric field are obtained from the expression for the current density combined with Maxwell's equations. These fully relativistic equations are correct up to second order in rc/L. where rc is the electron gyroradius and L is the gradient length of the plasma inhomogeneity.

UR - http://www.scopus.com/inward/record.url?scp=36149030912&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/26/20/033

DO - 10.1088/0305-4470/26/20/033

M3 - Article

AN - SCOPUS:36149030912

VL - 26

SP - 5505

EP - 5521

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 20

M1 - 033

ER -