$ cat test.sh
FOO=( bar string 'some text')
foonum=${#FOO}
for ((i=0;i<$foonum;i++)); do
   echo ${FOO[${i}]}
done
echo "------------"
echo "new test"
echo "------------"

FOOBAR=`cat spot_index |grep tape_name| grep "new Array"|tr "'","'" " "|tr "\"" "\'" |sed s/'tape_name = new Array('//g |sed s/');'//g`
FOO=( $FOOBAR )

foonum=${#FOO}
for ((i=0;i<$foonum;i++)); do
   echo ${FOO[${i}]}
done

$ sh test.sh 
bar
string
some text
------------
new test
------------
'bla
123'

$ cat spot_index |grep tape_name| grep "new Array"|tr "'","'" " "|tr "\"" "\'" |sed s/'tape_name = new Array('//g |sed s/');'//g
'bla 123' 'bla bla bla'