Thanks for the reply, chscag, but you may have misinterpreted the problem, and when I come to re-read my initial report I don't make it clear that the authentication is being requested multiple times during a session.
Of course I have to authenticate to the network initially, but during the same session I shouldn't have to re-authenticate multiple times.
I don't know how authentication is enacted for a network (or for access to any other resource), but I did come across an answer to a similar problem of repeated authentication which talked about the possible problem being that every image displayed by the browser having to be authenticated (or something like that - I can't find the article again). I mention this just to illustrate that repeated authentication problems can crop up in other contexts.
Note that as far as I'm aware the problem doesn't arise for those wired to the network or for others who WiFi to it, but the other WiFiers usually use Microsoft.