Question 23.3: Suppose we would like to use the Monte Carlo method to find ......
Suppose we would like to use the Monte Carlo method to find the paths of the particles emanating from an isotropic point source of strength S located at r = 0. In two dimensions (x and y), show how you would construct the logic so that the particles are emanated properly from the point source in this case.
If the point source is an isotropic source, we can do this by starting out at an angle of θ = 0, ejecting a particle, incrementing the value of θ by 1°, and ejecting a particle again. If the source is isotropic, then we can continue around the point source 1° at a time until we reach an angle of 360°, and the process is repeated again. At each angular increment, the number of particles to be ultimately ejected will be S(θ) = S/N, where N is the number of angular increments. Since we can use 1° increments most of the time, then N = 360 in this case.