Like this.
>>> try:
...     raise UnrecognizedAirportError("func","arg1","arg2")
... except UnrecognizedAirportError, e:
...     print e.args
...
('func', 'arg1', 'arg2')
>>>
Your arguments are in args, if you simply subclass Exception. 
See http://docs.python.org/library/exceptions.html#module-exceptions
If the exception class is derived from
  the standard root class BaseException,
  the associated value is present as the
  exception instance’s args attribute.
Edit Bigger Example.
class TestSomeException( unittest.TestCase ):
    def testRaiseWithArgs( self ):
        try:
            ... Something that raises the exception ...
            self.fail( "Didn't raise the exception" )
        except UnrecognizedAirportError, e:
            self.assertEquals( "func", e.args[0] )
            self.assertEquals( "arg1", e.args[1] )
        except Exception, e:
            self.fail( "Raised the wrong exception" )