“…The change in the material effective indexes caused by stress-induced effects can be expressed as [26]- [30] (5) where , , and are the principal components of the relative stress tensor, and are the components of the material's refractive index, is the refractive index without stress, and and are the stress-optic constants related to the Young's modulus , Poisson's ratio , and the photoelastic tensor elements ( and ) as (6) One source of birefringence is strain due to the temperature difference before and after fabrication processes. The strain and stress are related as follows [31], [32]: (7) where , , and are the principal strain components along the , , and direction, respectively, is the thermal expansion coefficient, and represents the difference between the operating temperature and reference temperature .…”