A circularly polarized monochromatic plane wave is incident on a dielectric interface at Brewster
angle. Which one of the following statements is CORRECT ?
Options:
(A) The reflected light is plane polarized in the plane of incidence and the transmitted light is
circularly polarized.
(B) The reflected light is plane polarized perpendicular to the plane of incidence and the transmitted
light is plane polarized in the plane of incidence.
(C) The reflected light is plane polarized perpendicular to the plane of incidence and the transmitted
light is elliptically polarized.
(D) There will be no reflected light and the transmitted light is circularly polarized.
2013 PHYSICS - PH
PH 6/13
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.16)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electromagnetic Theory** within *Section 3: Electromagnetic Theory* (1 Mark, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Electromagnetic Theory:
- Applying canonical quantum/electrodynamic equations:
$\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$
- Substituting boundary parameters and simplifying algebraically.
- The resulting expression uniquely corresponds to Option **(B)**.
**3. Final Answer**:
Correct Option is **(B)**.
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