Clearing file input box in Internet Explorer

I have an file upload box and a clear button on my page. When I press the clear button, I want the text in the file upload box to be cleared.

The following works in Firefox, but doesn't in IE (the text stays there). Is there a workaround for this?

$("#clear").click( function() {
    $("#attachment").val("");
    //document.myform.attachment.value = "";
})

HTML:

<form name="myform">
    <input type="file" name="attachment" id="attachment" />
</form>
<br /><button id="clear">Clear Attachment</button>

jsFiddle