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 6:

Predicted number of radio (1.4 GHz) arcs produced by SMGs for an all-sky survey, using all the synthetic cluster population to compute the optical depths (see Fig. 9).
$B_{1.4~{\rm GHz}}^{~(1)}$	$\rm 500~\mu Jy~arcsec^{-2}$		$\rm 100~\mu Jy~arcsec^{-2}$		$\rm 50~\mu Jy~arcsec^{-2}$		$\rm 10~\mu Jy~arcsec^{-2}$		$\rm 5~\mu Jy~arcsec^{-2}$		$\rm 1~\mu Jy~arcsec^{-2}$
d₀⁽²⁾	7.5	10	7.5	10	7.5	10	7.5	10	7.5	10	7.5	10
SPZ DB⁽³⁾	50 (8)	25 (0)	583 (233)	250 (100)	1333 (575)	575 (250)	8275 (3792)	3600 (1650)	18 283 (8275)	7950 (3600)	110 017 (50767)	47 825 (22075)
PHZ DB⁽³⁾	50 (8)	17 (0)	550 (225)	233 (92)	1258 (550)	542 (233)	7800 (3575)	3342 (1533)	17 242 (7800)	7383 (3342)	103 783 (47892)	44 450 (20517)
CHM DB⁽³⁾	100 (17)	42 (8)	1142 (458)	517 (208)	2608 (1142)	1167 (517)	16 200 (7425)	7267 (3325)	35 808 (16200)	16 058 (7267)	215 517 (99458)	96 633 (44592)
SPZ SM⁽³⁾	42 (8)	17 (0)	542 (225)	233 (100)	1058 (542)	458 (233)	3567 (2208)	1550 (958)	5608 (3567)	2433 (1567)	14 325 (9658)	2394 (4200)
PHZ SM⁽³⁾	42 (8)	17 (0)	508 (208)	217 (92)	1000 (508)	425 (217)	3367 (2083)	1442 (892)	5292 (3367)	2267 (1442)	13 508 (9117)	5783 (3900)
CHM SM⁽³⁾	83 (8)	42 (8)	1058 (442)	475 (200)	2075 (1058)	933 (475)	6992 (4317)	3133 (1933)	10 983 (6992)	492 (3133)	28 058 (18925)	12 583 (8483)

⁽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.
Values with and without brackets correspond to $S_{850~\mu{\rm m}} /S_{1.4~{\rm GHz}}=100$ and 50, respectively.

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