Pop up window using Jquery at a fix size

Can any one help

I am trying to get a HTML or PHP page to pop up with a streaming audio player on my website

The html page need to be a fix size.

inside of the html page will be an Iframe with the streaming player.

I am told this can be done using Jquery. I would like this to work on most devices if possible

I want to execute the popup from a clicked link on a wordpress site so the pop html must be independent to wordpress and have no bearing on the wordpress site

I want the pop up to stay active and will only close when it is manually done by the user.

during the time the pop streaming player is active i want to allow the user to browse other pages on the web so ideally the pop up appears on the left or right side on the browser.

here is eg by click the listen live link to view from the web site http://www.choice-fm.co.uk/music/listen-live/ or here http://www.hcr923fm.com/player.php