in parent.html:

<script type="text/javascript">
    $(document).ready(function () {
        var output = "data";
        var OpenWindow = window.open("child.html", "mywin", '');
        OpenWindow.dataFromParent = output; // dataFromParent is a variable in child.html
        OpenWindow.init();
    });
</script>

in child.html:

<script type="text/javascript">
    var dataFromParent;    
    function init() {
        document.write(dataFromParent);
    }
</script>