Semi-cylindrical Illuminance

This page describes how Semi-cylindrical Illuminance is calculated.

On the following example, the source is simulated by a local point source.

Note: The source can also be an extended light source like luminaire, ambient, surface source, etc.

The sensor is sensible to light coming from all directions, except the directions included in a half plan delimited by the cylinder axis and situated behind the half cylinder.

Contrary to the cylindrical illuminance, you need an integration direction to calculate the semi-cylindrical illuminance. In addition, the illuminance depends on the lateral deviation (like the vertical illuminance).

The formula is