Ok - lemme get this straight.
A user opens your script on their machine in a browser window, and you want to refresh a page in another browser window on the same machine?
Well - there are 2 answers as to whether this is possible. One is yes and one is no.
TBH - this isn't a PHP problem since this seems to based around a client side solution, but I will see if I can't point you in the right direction anyhow.
The 2 reasons for it being possible or not are:
Yes - only if the instance of IE you are running in is the same instance as the other site you are trying to refresh. Just run some Javascript along the lines of "windowref.reload();" where "windowref" is a JS reference to the window you are interested in running. If you set a standard JS timeout to occur every 5 seconds and run that then you whould be fine.
No - if you have different instance of IE (i.e. your page is not responsible for opening the window of the other site). Because of security issues in a browser, it is not possible for you to access any other browser window, in the same way that you aren't allowed to access any other processes or files on the client machine.
Anyhow - hope I am on the right lines.