Comparison with the Keck model

Results from our model were compared to those detailed in [11] for the Keck AO system. The surface list for telescope and AO system listed in Section 9.1 and the same sky spectrum, which is a modified version of the Gemini spectrum (airmass 1.5, 1.6 mm H$_2$O), were used.

Table 1: Comparison of Keck AO model results and the model presented in this paper. Surface list named ``K2AO'' (Section 5.1 in [11]). Average transmission in filter is for dust fraction=0.008.

Filter	Sky brightness	dust fraction=0.0	dust = 0.008	Avg. Trans
	mag arcsec$^{-2}$	mag arcsec$^{-2}$	mag arcsec$^{-2}$	dust = 0.008
Keck model results
J	16.01	15.90	15.89
H	13.78	13.72	13.71
K	14.91	12.91	12.63	0.606
ShaneAO model results
J	16.00	16.00	16.00	0.507
H	13.80	13.80	13.80	0.544
K	14.86	13.01	12.71	0.601

The comparison between models is presented in Table 1 for dust fractions of 0.0 and 0.8%. The average transmission in the filter is for a dust fraction of 0.8%. Sky background is as measured at the entrance pupil of the telescope. Our results are no more than 10% different in flux in the J-band.