# upper_hybrid_frequency¶

plasmapy.formulary.parameters.upper_hybrid_frequency(B: Unit(‘T’), n_e: Unit(‘1 / m3’), to_hz=False)

Return the upper hybrid frequency.

Aliases: wuh_

Parameters
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

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

Notes

The upper hybrid frequency is given through the relation

$ω_{uh}^2 = ω_{ce}^2 + ω_{pe}^2$

where $$ω_{ce}$$ is the electron gyrofrequency and $$ω_{pe}$$ 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