Jquery post, response in new window

Use the write()-Method of the Popup's document to put your markup there:

$.post(url, function (data) {
    var w = window.open('about:blank');
    w.document.open();
    w.document.write(data);
    w.document.close();
});

If you dont need a feedback about the requested data and also dont need any interactivity between the opener and the popup, you can post a hidden form into the popup:

Example:

<form method="post" target="popup" id="formID" style="display:none" action="https://example.com/barcode/generate" >
  <input type="hidden" name="packing_slip" value="35592" />
  <input type="hidden" name="reference" value="0018439" />
  <input type="hidden" name="total_boxes" value="1" />
</form>
<script type="text/javascript">
window.open('about:blank','popup','width=300,height=200')
document.getElementById('formID').submit();
</script>

Otherwise you could use jsonp. But this works only, if you have access to the other Server, because you have to modify the response.

I did it with an ajax post and then returned using a data url:

$(document).ready(function () {
    var exportClick = function () {
        $.ajax({
           url: "/api/test.php",
           type: "POST",
           dataType: "text",
           data: {
              action: "getCSV",
              filter: "name = 'smith'",
           },
           success: function(data) {
              var w = window.open('data:text/csv;charset=utf-8,' + encodeURIComponent(data));
              w.focus();
           },
           error: function () {
              alert('Problem getting data');
           },
        });
    }
});

Accepted answer doesn't work with "use strict" as the "with" statement throws an error. So instead:

$.post(url, function (data) {
    var w = window.open('about:blank', 'windowname');
    w.document.write(data);
    w.document.close();
});

Also, make sure 'windowname' doesn't have any spaces in it because that will fail in IE :)