Question

1. a) Explain the basic idea/phenomena of the Pockels effect and the Kerr effect, and explain how they differ. (b) Consider a single crystal sample of BaTiO$_3$ (at room temperature). What kind of optical anisotropy does it have (uniaxial or biaxial, negative or positive birefringence)? For this material, what direction and polarization should an E-M wave have to travel the fastest? Please show with both words (explanation) and diagram, and explain why. If we now apply an electric field along the optic axis of 100 kV/m, let us consider the Pockels effect with an $r_{\xi\xi} = 80$ pm/V. Will the anisotropy in n shrink or grow, and by how much? Will the previously discussed light wave go faster or slower? Does it matter which polarity the electric field is, and how is that defined?

          1. a) Explain the basic idea/phenomena of the Pockels effect and the Kerr effect, and explain how they differ.
(b) Consider a single crystal sample of BaTiO$_3$ (at room temperature). What kind of optical anisotropy does it have (uniaxial or biaxial, negative or positive birefringence)?
For this material, what direction and polarization should an E-M wave have to travel the fastest? Please show with both words (explanation) and diagram, and explain why. If we now apply an electric field along the optic axis of 100 kV/m, let us consider the Pockels effect with an $r_{\xi\xi} = 80$ pm/V. Will the anisotropy in n shrink or grow, and by how much?
Will the previously discussed light wave go faster or slower? Does it matter which polarity the electric field is, and how is that defined?

1. a) Explain the basic idea/phenomena of the Pockels effect and the Kerr effect, and explain how they differ.
(b) Consider a single crystal sample of BaTiO3 (at room temperature). What kind of optical anisotropy does it have (uniaxial or biaxial, negative or positive birefringence)?
For this material, what direction and polarization should an E-M wave have to travel the fastest? Please show with both words (explanation) and diagram, and explain why. If we now apply an electric field along the optic axis of 100 kV/m, let us consider the Pockels effect with an rξξ = 80 pm/V. Will the anisotropy in n shrink or grow, and by how much?
Will the previously discussed light wave go faster or slower? Does it matter which polarity the electric field is, and how is that defined?

Added by Alejandro R.

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