travelsal all files in a dir using recursion shell

#!/bin/bash
function getdir(){
    for element in `ls $`
    do
        dir_or_file=$"/"$element
        if [ -d $dir_or_file ]
        then
            getdir $dir_or_file
        else
            echo $dir_or_file
        fi
    done
}
root_dir="/home/test"
getdir $root_dir