temperature_from_potential_temperature

metpy.calc.temperature_from_potential_temperature(pressure, theta)[source]

Calculate the temperature from a given potential temperature.

Uses the inverse of the Poisson equation to calculate the temperature from a given potential temperature at a specific pressure level.

Parameters:
  • pressure (pint.Quantity) – The total atmospheric pressure
  • theta (pint.Quantity) – The potential temperature
Returns:

pint.Quantity – The temperature corresponding to the potential temperature and pressure.

See also

dry_lapse(), potential_temperature()

Notes

Formula:

\[T = \Theta (P / P_0)^\kappa\]

Examples

>>> from metpy.units import units
>>> from metpy.calc import temperature_from_potential_temperature
>>> # potential temperature
>>> theta = np.array([ 286.12859679, 288.22362587]) * units.kelvin
>>> p = 850 * units.mbar
>>> T = temperature_from_potential_temperature(p,theta)