Emissivity and reflection model for calculating unpolarized isotropic water surface-leaving radiance in the infrared. I: Theoretical development and calculations

Ensemble-Mean Facet Incidence Angle, ${\overline{\mathrm{\Theta }}}_i$ ^a

^a   ${\overline{\mathrm{\Theta }}}_i$ are rounded to the nearest tenth of a degree. Not a number (NAN) values occur when ${\overline{\mathrm{\Theta }}}_i\nleqq 90°$ , an unphysical result. ${\theta }_0>90°$ are below the horizon. Because of space limitations, wind speeds are subsampled by factor of 2, and observing angles are subsampled by factor of 4.

Ensemble-Mean Zenith Incidence Angle, $\overline{\theta }$ ^a

^a   $\overline{\theta }$ are rounded to the nearest tenth of a degree. NAN values occur when ${\overline{\mathrm{\Theta }}}_i\nleqq 90°$ , an unphysical result (see Table 1). ${\theta }_0>90°$ are below the horizon. Because of space limitations, wind speeds are subsampled by factor of 2, and observing angles are subsampled by factor of 4.

Mean Effective Incidence Angle, ${\overline{\mathrm{\Theta }}}_{ie}$ ^a

^a   ${\mathrm{\Theta }}_{ie}$ are rounded to the nearest tenth of a degree. Note that ${\overline{\mathrm{\Theta }}}_{ie}=0.0$ for ${\theta }_0=\{0°,5°,10°\}$ over the range of wind speeds.

Table 1

Ensemble-Mean Facet Incidence Angle, ${\overline{\mathrm{\Theta }}}_i$ ^a

^a   ${\overline{\mathrm{\Theta }}}_i$ are rounded to the nearest tenth of a degree. Not a number (NAN) values occur when ${\overline{\mathrm{\Theta }}}_i\nleqq 90°$ , an unphysical result. ${\theta }_0>90°$ are below the horizon. Because of space limitations, wind speeds are subsampled by factor of 2, and observing angles are subsampled by factor of 4.

Table 2

Ensemble-Mean Zenith Incidence Angle, $\overline{\theta }$ ^a

^a   $\overline{\theta }$ are rounded to the nearest tenth of a degree. NAN values occur when ${\overline{\mathrm{\Theta }}}_i\nleqq 90°$ , an unphysical result (see Table 1). ${\theta }_0>90°$ are below the horizon. Because of space limitations, wind speeds are subsampled by factor of 2, and observing angles are subsampled by factor of 4.

Table 3

Mean Effective Incidence Angle, ${\overline{\mathrm{\Theta }}}_{ie}$ ^a

^a   ${\mathrm{\Theta }}_{ie}$ are rounded to the nearest tenth of a degree. Note that ${\overline{\mathrm{\Theta }}}_{ie}=0.0$ for ${\theta }_0=\{0°,5°,10°\}$ over the range of wind speeds.