Interference By Division of Amplitude | Lecture Note - Edubirdie

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

2024
Views:

485

Pages:

5
Author:

Jabin F.

# Interference by division of amplitude Thin films # Condition of Interference in reflected light: 2µt cos θ + λ = mλ (constructive interference) ⇒ 2µt cos θ = (m-1/2)λ (destructive interference) Bright fringes: m = 1, 2, 3, 4, ... Dark fringes: m = 0, 1, 2, 3, ... Equation 1: ∇²A = -1/c² * ∂²φ/∂t² Equation 2: V(r,t) = 0 A(r,t) = -q/(4πε₀) * (t/r³) * ẑ Scalar function λ = 2t/(4πε₀) V' = V - ∂λ/∂t V' = q/(4πε₀r²) Equation 4: E = -∇φ - ∂A/∂t = -2/(4πε₀r) * ẑ Equation 5: ∇·A = -µ₀q/(4πr²) ∇·A = -1/c² * ∂φ/∂t = -µ₀q/(4πr²) φ = µ₀q²c²t/(4π²r²) Equation 6: ∇·A + 1/c² * ∂φ/∂t = 0 ∇·(∇ξ) + 1/c² * ∂²ξ/∂t² = 0 ∇²ξ - 1/c² * ∂²ξ/∂t² = 0 Option-a ∇²ξ = cosωt cosh(k·x)(k²) + ω²sinωt cosh(k·x) ∂²ξ/∂t² = cosh(k·x) + ω²(cosωt) cosh(k·x)[k² + ω²/c²] = 0 k² + ω²/c² = 0 (not valid) Option-d coshωt cosh(k·x) (k² + ω²/c²) = 0 k = ω/c

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