illuminancei

Illuminancei is a term that appears in some academic discussions to denote the instantaneous luminous illuminance on a surface, taking into account the current spectral power distribution of the incident light and the human visual response at a specific moment. It is not an official SI quantity, and standard photometric practice typically uses illuminance in lux as a time-averaged measure.

Definition and formula. In this usage, illuminancei at time t can be described by E_i(t) = ∫ S(λ, t) V(λ) dλ, where S(λ, t) is the spectral irradiance of the light striking the surface at time t (in W/m^2/nm) and V(λ) is the CIE photopic luminous efficiency function. The integral yields luminance-weighted irradiance in lux for that instant. Because real instruments have finite integration times, achieving a true instantaneous value requires high-speed, time-resolved spectral measurements.

Relation to standard illuminance. Traditional illuminance E (in lux) is the time-averaged response of the eye to the light’s spectral power distribution, integrated over a chosen measurement interval. Illuminancei emphasizes the temporal dimension, effectively representing the illuminance at a single moment rather than over an interval. In practice, many sources use illuminancei as a pedagogical or simulation-based concept rather than a standardized quantity.

Measurement and considerations. Calculating or recording E_i(t) requires time-resolved spectral data and knowledge of the viewing geometry and surface properties. The value can vary with flicker, spectral content, and directionality. Because there is no universal standard for illuminancei, definitions and measurement approaches may differ between studies or educational materials.

Applications and scope. The concept is primarily used in theoretical analyses, dynamic lighting design, flicker studies, and certain photography or display calibration contexts where instantaneous perceptual brightness is of interest. For most engineering purposes, the fixed, time-averaged illuminance in lux remains the standard metric. See also illuminance, lux, CIE V(λ), spectroradiometry, luminous efficiency.