How to force Windows to authenticate a particular domain in the Domain\UserName format

I have a SharePoint setup in DomainA.

Its a single server farm setup on a Windows 2008 R2 server with ADDS and MSSQL 2008 R2 installed on it.

The SharePoint applications are set to use Windows Authentication.

The application seems to be working fine but it authenticates username with any domain prefix.

By domain prefix I mean the domain name part in DomainName\UserName format.

Is there a way to restrict this to one domain name ?