API Reference: Electromagnetism¶

The Python surface exposes electromagnetism routines at top level (from pysicrs import larmor_formula). See also Algorithms: Electromagnetism.

import pysicrs

Green’s functions¶

green_fn_static(r: float) -> float

Static 3D Green function \(\frac{1}{4\pi r}\).

larmor_formula(charge: float, acceleration: float, eps0: float, c: float) -> float

\(P = \frac{2}{3}\frac{q^2 a^2}{4\pi\varepsilon_0 c^3}\).

e, eps0, c = 1.602176634e-19, 8.8541878128e-12, 2.99792458e8
print(larmor_formula(e, 1.0, eps0, c))   # ~3.44e-50 W for a = 1 m/s²

dipole_radiation(dipole_moment: float, omega: float, mu0: float, c: float) -> float

\(P = \frac{\mu_0\,\omega^4\,p_0^2}{12\pi c^3}\).

field_strength_point_charge(charge: float, r: float, eps0: float) -> float

Coulomb field \(E = \frac{q}{4\pi\varepsilon_0 r^2}\).

compton_wavelength_shift(theta: float, h: float, m_e: float, c: float) -> float

Compton shift \(\Delta\lambda = \frac{h}{m_e c}(1-\cos\theta)\), theta in radians.

function	purpose
`green_fn_retarded` / `green_fn_advanced`	causal propagators
`dipole_angular_distribution`	\(\frac{dP}{d\Omega}\propto\sin^2\theta\)
`magnetic_dipole_radiation`	\(\frac{\mu_0 m^2\omega^4}{12\pi c^3}\)
`radiation_power_oscillating`	cosine-time dependence