  Higher (2nd)-order Wigner distribution function in quantum phase space for
entangled bi-modal coherent states, a representative of higher (2nd)-order
optical-polarization, is introduced by generalizing kernel (transiting)
operator in Cahill-Glauber C(s)-correspondence rule. The nature is analyzed
which reveals the occurrence of oscillating three peaks: 'two' for individual
bi-modes and third for interference between modes. Also, the graphics of
2nd-order polarization-Wigner distribution function, incisively, demonstrates
that it is of non-Gaussian nature attaining non-negative values in quantum
phase space.
