reflectance derivations

  1. reflectance from radiance and solar irradiance

    symbol

    description

    unit

    variable name

    \(\theta_{0}\)

    solar zenith angle

    \(deg\)

    solar_zenith_angle {:}

    \(L\)

    radiance

    \(W/m2/sr\)

    radiance {:}

    \(E\)

    solar irradiance

    \(W/m2\)

    irradiance {:}

    \(R\)

    reflectance

    \(-\)

    reflectance {:}

    The pattern : for the dimensions can represent {time}, or no dimensions at all.

    \[R = \frac{\pi L}{E\cos(\theta_{0})}\]
  2. reflectance from wavelength radiance and wavelength solar irradiance

    symbol

    description

    unit

    variable name

    \(\theta_{0}\)

    solar zenith angle

    \(deg\)

    solar_zenith_angle {:}

    \(L(\lambda)\)

    radiance

    \(W/m2/sr/m\)

    wavelength_radiance {:}

    \(E(\lambda)\)

    solar irradiance

    \(W/m2/m\)

    wavelength_irradiance {:}

    \(R\)

    reflectance

    \(-\)

    reflectance {:}

    The pattern : for the dimensions can represent {time}, or no dimensions at all.

    \[R = \frac{\pi L(\lambda)}{E(\lambda)\cos(\theta_{0})}\]