UCLA BPPL - Radiation from Magnetic Loop Antennas

Magnetic antennas are used to excite and receive electromagnetic waves. In a magnetized plasma, we have excited whistlers with pulsed loop antennas and measured the wave magnetic field B(r, t) from the near zone into the far zone in 3-D space and time.

Experimental setup and basic parameters

Experimental setup and basic parameters.

4-D Fourier transformation yields B(k,<i>omega<i>) and an experimental verification of the dispersion of plane oblique whistler waves. The electric field is calculated in Fourier space via Maxwell's equations and Ohm's law. Inverse transformation yields E(r, t), uniquely separated into inductive and space charge fields which are equally important in oblique whistlers but cannot be distinguished in dipole probe measurements. Electric and magnetic fields yield the Poynting's vector and radiation resistance.

Radiation pattern of loop antenna

Contours of r2 Re[Sz(x=0, y, z, <i>omega<i> = 0.084<i>omega_ce<i>)] show the radiation pattern of a loop antenna with dipole axis parallel to B0.

Damping is by collisions rather than Landau damping. In EMHD whistler wave packets, the vector potential, magnetic field, and current density are nearly parallel. The helicity densities A·B, B·J have different signs for waves propagating in opposite directions to the dc magnetic field, hence no net helicity is injected for symmetric wave excitation. The measured antenna properties are compared with computer simulations. Antenna configurations have been designed which optimize the radiation into the Gendrin mode (oblique whistlers with parallel energy flow).

Isosurface of magnetic intensity

Surface of |B(ck/<i>omega<i>, <i>omega<i>/<i>omega_ce<i> = 0.084)| = const superimposed on the theoretical dispersion surface in n = ck/<i>omega<i>-space. A quadrant has been removed to show the close agreement of the data with theory. The spectral density maximizes for oblique ck/<i>omega<i> showing that the antenna couples to oblique whistler modes.

References