  The relationship between submillimeter (submm) dust emission polarization and
near-infrared (NIR) $H$-band polarization produced by dust dichroic extinction
was studied for the cold starless dense core FeSt 1-457. The distribution of
polarization angles ($90^{\circ}$-rotated for submm) and degrees were found to
be very different between at submm and NIR wavelengths. The mean polarization
angles for FeSt 1-457 at submm and NIR wavelengths are $132.1^{\circ} \pm
22.0^{\circ}$ and $2.7^{\circ} \pm 16.2^{\circ}$, respectively. The correlation
between $P_H$ and $A_V$ was found to be linear from outermost regions to
relatively dense line of sight of $A_V \approx 25$ mag, indicating that NIR
polarization reflects overall polarization (magnetic field) structure of the
core at least in this density range. The flat $P_H/A_V$ versus $A_V$
correlations were confirmed, and the polarization efficiency was found to be
comparable to the observational upper limit (Jones 1989). On the other hand, as
reported by Alves et al., submm polarization degrees show clear linearly
decreasing trend against $A_V$ from $A_V \approx 20$ mag to the densest center
($A_V \approx 41$ mag), appearing as "polarization hole" structure. The power
law index for the $P_{\rm submm}$ versus $A_V$ relationship was obtained to be
$\approx -1$, indicating that the alignment for the submm sensitive dust is
lost. These very different polarization distributions at submm and NIR
wavelengths suggest that (1) there is different radiation environment at these
wavelengths or (2) submm-sensitive dust is localized or the combination of
them.
