Allowed Angle of Incidence for a Mode to Propagate | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

210

Pages:

6
Author:

Jabin F.

# Allowed angle of incidence for a mode to propagate → cos θ = √(1 - (ω_c/ω)²) vg = c cos θ vp = c/cos θ θ = angle between z-axis and incident ray Equation 1.4: A = (μ₀K / 4c) (ct - z)² ĉ Equation 1.10: B = (∇ x A) = (-μ₀K / 4c) (ct - z)ĵ Equation 1.9: E = -∇φ - ∂B/∂t = 0 Equation 1.11: I = I₀ sinωt ∮_c E·dl = -∫_s ∂B/∂t·ds E = -μ₀n₀(∂I/∂t) ẑ Calculations: ∮_c E·dl = -μ₀n₀(∂I/∂t) ∫_s ẑ·ds ∮_c E·dl = -μ₀n₀(∂I/∂t) πr² |E| = (1/2)μ₀n₀ωr cosωt (option-d) If steady current, ∂I/∂t = 0, then (option-a) Equation 1.50: A plate breaks into two waves (E-wave and H-wave). E-wave: 90° relative to the optical axis H-wave: 0° relative to the optical axis Since interference intensity should have the same state of polarization: I_max = (√I₁ + √I₂)² I_min = (√I₁ - √I₂)² I_max = (√I₀ + √(I₀/2))² + (I₀/2) I_min = (√I₀ - √(I₀/2))² + (I₀/2) (I_max - I_min) / (I_max + I_min) = 4I₀ / (4I₀ + I₀) = 4/5

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Allowed Angle of Incidence for a Mode to Propagate

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