It depends on the client. For example if you have a Web Browser, it can use the NTLM Authentication to pass the domain authentication of your current client to the server. In this case the browser like IE or FF supports this, and you web server needs the support for NTLM. For example here for Tomcat: http://jcifs.samba.org/src/docs/ntlmhttpauth.html
There is also the SPNEGO protcol in combination with Kerberos, as explained here: http://java.sun.com/javase/6/docs/technotes/guides/security/jgss/lab/index.html
If you have your own client, it depends on the client's framework if it is able to use the local user's security context and is able to pass it on. The page above describes this at least for a kerberos scenario.
Greetings
Bernd
PS: I am not sure if you can pass the authentication context established with the jcifs/ntmlm solution to a backend component like SQL Server. It should work with Kerberos tickets (if configured).