Use your alias (part in front of the @ of your email address) as the file name.
When you create a meeting invitation and look at the scheduling page, if Outlook can find Free/Busy for an attendee, it displays it with blue and grey blocks (Row 1 & rows at #4).
When there are no appointments, the time line is grey during non-working hours and white in working hours.
If you want to share with people outside of your network, you need to publish it on an Internet server (using either HTTP or FTP).
Anonymous users will need Read permissions, you'll need Write permissions on the Internet server.
We use a mixture of Lync 2010/2013 with the Outlook 2010 client on Windows 7.