The regex mentioned in the other answer matches the user part of the email address (logged-in-user@example.org). Here is some additional information.
To use the full email address as username, use the following regex (for example in /etc/postfix/login_map
):
/^(.*)$/ ${1}
This means that your username is always your full email address (logged-in-user@example.org) - no other existing username is allowed to send from that address - and you don't have to update an additional Postfix config file everytime you add a user.
This might be used on a server that has multiple domains configured. User john.doe@example.com is only allowed to send from that address but not from john.doe@example.org (different user and email, different person). The username john.doe would be ambiguous in this case.
Also, depending on your configuration, the smtpd_sender_login_maps setting, which has to point to this file, may be in the master.cf (instead of main.cf). The official Dovecot documentation has the following example (if you're using SASL/submission):
submission inet n - n - - smtpd
-o smtpd_tls_security_level=encrypt
-o smtpd_sasl_auth_enable=yes
-o smtpd_sasl_type=dovecot
-o smtpd_sasl_path=private/auth
-o smtpd_sasl_security_options=noanonymous
-o smtpd_sasl_local_domain=$myhostname
-o smtpd_client_restrictions=permit_sasl_authenticated,reject
-o smtpd_sender_login_maps=hash:/etc/postfix/virtual
-o smtpd_sender_restrictions=reject_sender_login_mismatch
-o smtpd_recipient_restrictions=reject_non_fqdn_recipient,reject_unknown_recipient_domain,permit_sasl_authenticated,reject
In this example, the setting should be adjusted to point to the right file and use regex or (better) pcre as type. Especially if a file called "virtual" is already used for another purpose (for example for virtual_alias_maps, as shown in an official Postfix example), another file should be used for the login mapping.
From:
smtpd_sender_login_maps=hash:/etc/postfix/virtual
To:
smtpd_sender_login_maps=pcre:/etc/postfix/login_map