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We consider the interaction of counterpropagating pulses via a χ⁽³⁾ nonlinearity, in an isotropic electrostriction medium. The polarization is taken into account and can vary through each pulse; group-velocity dispersion is neglected. We find a family of analytic solutions, termed polarization solitons, which play a central role in the dynamics. Upon interaction, the net effect on their polarization profiles is a rigid rotation in Stokes vector space. As special cases, they include the first nontrivial examples of polarization-transparent and orthogonally switched pulses.
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Tratnik et al. (1987) studied this question.
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