Electro-optic Pockels cell are important opto-electronic devices for conduction of optical switching, optical modulation, where an electrical biasing signal acts on a polarized light passing through the system. Since last few decades lots of works are reported in this area. Again, it is observed that a good switching or modulation becomes realized if the depth of modulation is increased by increasing more phase difference between two orthogonal polarized components of light passing through the material against a biasing signal. Here in this paper the authors propose a new scheme, where multi-passing technique is used to create a high degree of phase difference between those two orthogonal polarized components of light against the biasing signal. The multi-passing of light through the material enables more and more optical path length for the light. So, more and more phase difference between the components of light beams, one passing outside the material and other passing through the material multiple times is created. This method ultimately generates a high degree of depth of modulation in optical switching.