import numpy as np def phi_single_source( r: float, activity: float | int, branching_ratio: float, mu_mass_air: float, air_density: float, ) -> float: """Compute the contribution of a single point source to the primary photon fluence rate phi at position (x,y,z). Args: r (float): [m] Distance to the point source. activity (float | int): [Bq] Activity of the point source. branching_ratio (float): Branching ratio for the photon energy E_gamma. mu_mass_air (float): [cm^2/g] Mass attenuation coefficient for air. air_density (float): [kg/m^3] Air density. Returns: phi (float): [s^-1 m^-2] Primary photon fluence rate at distance r from a point source. """ # Linear photon attenuation coefficient in m^-1. mu_mass_air *= 0.1 mu_air = 0.1 * mu_mass_air * air_density phi = ( activity * branching_ratio * np.exp(-mu_air * r) / (4 * np.pi * r**2) ) return phi