Intersystem Non-separability and CHSH-Bell Violations in Classical Optics

A method is proposed to produce a classical optical state that is `intersystem nonseparable’ and a close analog of the ${\phi }^{+}$ Bell state. A derivation of the CHSH-Bell inequality is sketched within the framework of classical polarization optics, using non-contextuality for factorizable states as an axiom rather than any hidden variable theory. It is shown that the classical state violates this inequality.