I hope this is a relatively straight forward thing to do, and that my google skills have simply failed me on this occasion. I have a BASIC authentication protected resource
Using:
$header = "POST /someendpoint HTTP/1.1\r\n".
"Host:example.com\n".
"Content-Type: application/x-www-form-urlencoded\r\n".
"User-Agent: PHP-Code\r\n".
"Content-Length: " . strlen($req) . "\r\n".
"Authorization: Basic ".base64_encode($username.':'.$password)."\r\n".
"Connection: close\r\n\r\n";
Should work - are you sure it is a Basic authentication system? It may be worth watching the raw header data using something like CharlesProxy to ensure it is an authentication (and you'll be then able to copy the authorization string as well!).