On the abundance of gravitational arcs produced by submillimeter galaxies at radio and submm wavelengths

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Volume 508 / No 1 (December II 2009)

A&A, 508 1 (2009) 141-160

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Table 5:

Predicted number of submm ( $850~\mu$ m) arcs produced by SMGs for an all-sky survey, using only clusters with $M \ge 5$ $\times$ $10^{14}~M_\odot~h^{-1}$ to compute the optical depths (see Fig. 10).
$B_{850~\mu{\rm m}}^{(1)}$	$\rm 5~mJy~arcsec^{-2}$		$\rm 1~mJy~arcsec^{-2}$		$\rm0.5~mJy~arcsec^{-2}$		$\rm0.1~mJy~arcsec^{-2}$
d₀⁽²⁾	7.5	10	7.5	10	7.5	10	7.5	10
SPZ DB⁽³⁾	17	8	125	42	267	92	1633	550
PHZ DB⁽³⁾	17	8	133	42	283	92	1733	583
CHM DB⁽³⁾	25	8	150	50	325	108	2008	683
SPZ SM⁽³⁾	17	8	75	25	117	42	308	108
PHZ SM⁽³⁾	17	8	75	25	125	42	333	108
CHM SM⁽³⁾	25	8	83	33	142	50	383	133

⁽¹⁾ Surface brightness limit used to determine the number of arcs; ⁽²⁾ arc length-to-width ratio thresholds; ⁽³⁾ redshift distribution and number count function, as introduced in Figs. 3 and 6.

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