not confirm the error for the J-band using our data set, because it was not taken under photometric condition. Therefore, we compared the $J$-band magnitudes of our sample with those of a somewhat shallower sample by Stanford et al (2002) with a limiting magnitude of about 20.5, and found no systematic difference between these two datasets(less than 0.1 mag in r.m.s).

Astrometric calibrations were performed using USNO-A2.0 catalog in each field. For MS $0451.6-0305$, we used the $B$-band SuprimeCam image for obtaining a wider field of view and about 900 stars with $r$ magnitudes between 16 to 18 for fitting (for avoiding the position measurement error by saturation). After the fitting, we applied the measured positions of objects in the CISCO $K'$ image and refit them. We used the HST F702W image for MS $0440.5+0204$ with 10 stars, because it is the widest image for this field. The resultant r.m.s in the fittings were 0.20 and 0.36 for MS $0451.6-0305$ and MS $0440.5+0204$, respectively.

Results
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Sample Extraction and Completeness
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We used SExtractor (Bertin, Arnouts 1996) for making the $K'$-band selected catalog, which reached to a depth of $\sim$ 22.1 magnitude in 2diameter aperture. An eye inspection was also 