eradiate.scenes.atmosphere.GaussianParticleDistribution

class eradiate.scenes.atmosphere.GaussianParticleDistribution(mean=0.5, std=0.16666666666666666)

Bases: ParticleDistribution

Gaussian particle distribution [gaussian].

Returns values given by the Gaussian PDF

\[f : x \mapsto \frac{1}{2 \pi \cdot \sigma} \exp \left[ -\frac{1}{2} \left( \frac{x - \mu}{\sigma} \right)^2 \right]\]

where \(\mu = \mathtt{mean}\) and \(\sigma = \mathtt{std}\).

Parameters:

• mean (float, optional, default: 0.5) – Mean of the Gaussian PDF. The default value places the mean in the middle of the particle layer (at \(x = 0.5\)).

• std (float, optional, default: 1/6) – Standard deviation of the Gaussian PDF. The default value is such that the integral of the Gaussian PDF over the \([\mu - 0.5, \mu + 0.5]\) interval is about 99.7% (3σ).

Fields:

• mean (float) – Mean of the Gaussian PDF.

• std (float) – Standard deviation of the Gaussian PDF.