closing the browser tab after logout

We have had a security requirement to close the browser tab when users logout of a production environment.  We satisfied this requirement by pointing the "logout page" parameter on the Web Profile to a custom signout.html containing javascript and the command window.close();  Based on my research, the javascript doesn't work anymore due to recent browser security standards, regardless of application or PT versions.

Is there another way to close the browser tab when users log out of the application?