Python examples

These scripts are deliberately small, readable starting points for the equations used throughout the site.

• array_factor.py — steer a uniform linear array and inspect sidelobes/grating lobes.
• link_budget.py — wavelength, free-space path loss and Friis received power.
• lorentz_boris.py — charged-particle motion in uniform electric and magnetic fields using the Boris pusher.
• optical_bloch_two_level.py — driven dissipative two-level atom and steady/transient excited-state population.
• halbach_ideal.py — ideal Halbach-cylinder bore-field scaling and parameter sweep.

Recommended environment

python -m venv .venv
source .venv/bin/activate      # Windows: .venv\Scripts\activate
pip install numpy scipy matplotlib

The scripts are educational references, not substitutes for convergence tests or a validated experimental model. Whenever possible compare them with an analytic limiting case and then with a measured observable.