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Higher (2nd)-order Wigner distribution function in quantum phase space forentangled bi-modal coherent states, a representative of higher (2nd)-orderoptical-polarization, is introduced by generalizing kernel (transiting)operator in Cahill-Glauber C(s)-correspondence rule. The nature is analyzedwhich reveals the occurrence of oscillating three peaks: 'two' for individualbi-modes and third for interference between modes. Also, the graphics of2nd-order polarization-Wigner distribution function, incisively, demonstratesthat it is of non-Gaussian nature attaining non-negative values in quantumphase space.

Higher (2nd)-order polarization-Wigner function for `even' entangled bi-modal coherent states