Instantaneous energy of resonator¶

A rectangular resonator consists of metal walls and a material filling it. The resonator is capable of storing energy. The instantaneous value of the resonator energy depends on its quality factor, initial energy value, time and angular frequency.

instantaneous_energy¶: Instantaneous energy of the resonator.

Symbol:: E
Latex:: \(E\)
Dimension:: energy

initial_energy¶: Initial energy of the resonator.

Symbol:: E_0
Latex:: \(E_{0}\)
Dimension:: energy

time¶: time at which instantaneous_energy is measured.

Symbol:: t
Latex:: \(t\)
Dimension:: time

angular_frequency¶: angular_frequency of the current.

Symbol:: w
Latex:: \(\omega\)
Dimension:: angle/time

quality_factor¶: quality_factor of the resonator.

Symbol:: Q
Latex:: \(Q\)
Dimension:: dimensionless

law¶

E = E_0 * exp(-w * t / Q)

Latex:: \[E = E_{0} \exp{\left(- \frac{\omega t}{Q} \right)}\]