  In the context of operator valued W*-free probability theory, we study Haar
unitaries, R-diagonal elements and circular elements. Several classes of Haar
unitaries are differentiated from each other. The term bipolar decomposition is
used for the expression of an element as $vx$ where $x$ is self-adjoint and $v$
is a partial isometry, and we study such decompositions of operator valued
R-diagonal and circular elements that are free, meaning that $v$ and $x$ are
*-free from each other. In particular, we prove, when B=C^2, that if a
$B$-valued circular element has a free bipolar decomposition with $v$ unitary,
then it has one where $v$ normalizes $B$.
