URL Rewrite not functioning with https

[eluser]baazil1[/eluser]
Inside the LAN, we are good to go... folks access our intranet using http://intranet. All links and URLs work just fine and dandy (I removed index.php from links using URL Rewriting).

We are required to give access to the Intranet to certain outside folks.. we are accomplishing this using FTMG, the same way in which Outlook Web Access works.

Now, calls to https://intranet.domain.org work, but links within the site do not work... for example:

https://intranet.domain.org works
https://intranet works
https://intranet.domain.org/homepage FAILS
https://intranet.domain.org/index.php/homepage works
https://intranet/index.php/homepage works

The dilemma should be clear... implementing the URL Rewriting does not work with https...

How do I make it work?

Note:
my config file =

Code:

$config['base_url'] = '';

my .htaccess file =

Code:

<IfModule mod_rewrite.c>
    RewriteEngine on
    Options +FollowSymLinks
    RewriteBase /
    
    RewriteCond %{REQUEST_FILENAME} !-f
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteRule ^(.*)$ index.php/$1
</IfModule>

<IfModule !mod_rewrite.c>
    ErrorDocument 404 /index.php
</IfModule>