Beer-Lambert attenuation at a single wavelength.

Computes E(z) = E0 * exp(-Kd * z). Vectorised over depth.

Usage

attenuate_depth(E0, Kd, depth)

Arguments

E0

Surface irradiance. Any unit; result is in the same unit.

Kd

Diffuse attenuation coefficient in 1/m. Must be >= 0.

depth

Depth(s) in metres. Must be >= 0. Scalar or vector.

Value

Numeric vector the same length as depth.

Details

This is the package's principal lightweight water-column model. It assumes that \(K_d\) is constant over the modeled path and propagates each wavelength independently. It does not solve the angular radiance field, multiple scattering, or wavelength redistribution. The scalar API has no inherent wavelength or depth range; the caller is responsible for supplying a \(K_d\) that is valid for the medium and path.

Examples

attenuate_depth(100, Kd = 0.06, depth = c(0, 10, 25, 50))
#> [1] 100.000000  54.881164  22.313016   4.978707