  We report our first results of photometric and spectroscopic observations for
Tycho's supernova remnant (SNR Tycho) to search for the companion star of a
type Ia supernova (SN Ia). From photometric observations using Suprime-Cam on
the Subaru Telescope, we have picked up stars brighter than 22 mag (in
$V$-band) for spectroscopy, which are located within a circular region with the
radius of 30" around the center of SNR Tycho. If the ejecta of young supernova
remnants, such as SNR Tycho, have a sufficient amount of Fe I, we should be
able to detect absorption lines at 3720 \AA and 3860 \AA associated with
transitions from the ground state of Fe I in the spectrum of the companion
star. To identify the companion star of a SN Ia using these characteristic
absorption lines of Fe I, we made optical low-resolution spectroscopy of their
targets using FOCAS on the Subaru Telescope. In our spectroscopic observations,
we obtained spectra of 17 stars in the SNR Tycho region and compare them with
template stellar spectra. We detect significant absorption lines from two stars
at 3720 \AA. Since widths of their absorption lines are broad, it is likely
that the detected absorptions are due to Fe I in the expanding ejecta of SNR
Tycho. However, none of stars exhibits a clear red wing in the observed
profiles of the absorption, though a star in the background of the SNR should
show it. Hence, we suggest another interpretation that the detected absorption
lines might be caused by the peculiarity of stars. A star named Tycho(E) has
the absorption line at 3720 \AA and its projected position is close to the
center of SNR Tycho. Based on our observations, Tycho(E) is a new candidate as
the companion star of Tycho's supernova.
