# upper_hybrid_frequency¶

plasmapy.formulary.parameters.upper_hybrid_frequency(B: Unit("T"), n_e: Unit("1 / m3"), to_hz=False) -> Unit("rad / s")

Return the upper hybrid frequency.

Aliases: wuh_

Parameters: B (Quantity) – The magnetic field magnitude in units convertible to tesla. n_e (Quantity) – The electron number density. omega_uh – The upper hybrid frequency in radians per second. Quantity 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. ~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)

to_hz (bool) – Set True to to convert function output from angular frequency to Hz