upper_hybrid_frequency

plasmapy.physics.parameters.upper_hybrid_frequency(B, n_e)

Return the upper hybrid frequency.

Parameters:
  • B (Quantity) – The magnetic field magnitude in units convertible to tesla.
  • n_e (Quantity) – The electron number density.
Returns:

omega_uh – The upper hybrid frequency in radians per second.

Return type:

Quantity

Raises:
  • TypeError – If either of B or n_e is not a Quantity.
  • UnitConversionError – If either of B or n_e is in incorrect units.
  • ValueError – If either of B or n_e contains invalid values or are of incompatible dimensions.
Warns:

~astropy.units.UnitsWarning – If units are not provided, SI units are assumed

Notes

The upper hybrid frequency is given through the relation

\[\omega_{uh}^2 = \omega_{ce}^2 + \omega_{pe}^2\]

where \(\omega_{ce}\) is the electron gyrofrequency and \(\omega_{pe}\) is the electron plasma frequency.

Example

>>> from astropy import units as u
>>> upper_hybrid_frequency(0.2*u.T, n_e=5e19*u.m**-3)
<Quantity 4.00459419e+11 rad / s>