Using LS for a specific path & file type without returing full file path?

Using LS for a specific path & file type without returing full file path?

I am writing a bash script and would like to use LS giving it a path/*.tar
and have it return just file names instead of full path and file name to
pass the file names through read into an array, below is what happens in
terminal:
If i just use LS with a directory it returns:
admin@linuxbox:~$ ls /home/admin/Backup/
0_BuIndex.txt.backup Backup1376238064.tar Backup1376239611.tar
Backup1376241919.tar
Backup1376167035.tar Backup1376238960.tar Backup1376240158.tar
Backup1376243097.tar
Backup1376168581.tar Backup1376239110.tar Backup1376241421.tar
Backup1376237070.tar Backup1376239350.tar Backup1376241489.tar
Backup1376237928.tar Backup1376239479.tar Backup1376241608.tar
Giving path & file type it returns:
admin@linuxbox:~$ ls /home/admin/Backup/*.tar
/home/admin/Backup/Backup1376167035.tar
/home/admin/Backup/Backup1376239479.tar
/home/admin/Backup/Backup1376168581.tar
/home/admin/Backup/Backup1376239611.tar
/home/admin/Backup/Backup1376237070.tar
/home/admin/Backup/Backup1376240158.tar
/home/admin/Backup/Backup1376237928.tar
/home/admin/Backup/Backup1376241421.tar
/home/admin/Backup/Backup1376238064.tar
/home/admin/Backup/Backup1376241489.tar
/home/admin/Backup/Backup1376238960.tar
/home/admin/Backup/Backup1376241608.tar
/home/admin/Backup/Backup1376239110.tar
/home/admin/Backup/Backup1376241919.tar
/home/admin/Backup/Backup1376239350.tar
/home/admin/Backup/Backup1376243097.tar
I would like to use a command like the second but have it only return the
file names without the path, my work around right now is to use
read -r -a TarArray <<< "`ls -1 /home/admin/Backup | grep "tar"`"
but I am hoping to find a solution that doesn't require me to pipe through
grep.
Any ideas? Thanks all!