Diffraction | Santa Fe College - Edubirdie

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

2024
Views:

337

Pages:

6
Author:

Jabin F.

# Diffraction: Bending of E.M wave around the sharp edges. Slit width is given Equation: ω² = λK + BK³ Group velocity (Vg): Vg = dω/dk = (λ + 3BK²) / (2λK + BK³) Phase velocity (Vp): Vp = ω/k = (λK + BK³) / K Condition for Vp = Vg: (λ + 3BK²) / (2λK + BK³) = K λ + 3BK² = 2λK + BK³ BK³ = λK K = λ/B Equation: λK + 3BK³ = 2λK + 2BK³ BK³ = λK K² = λ/B K = √(λ/B) (Option-b) Ques.1 Page-92 TE: Default assumption Dominant mode: TE₁₀ (a > b) a = 6 cm, b = 4 cm, f = 36 GHz λ₀ = 2πc/f = 12 cm λg = guide wavelength = wavelength of wave along direction of propagation λg = λ₀ / √(1 - (λ₀c/ω)²), where λ₀ is the wavelength of the wave in free space. 5. Vp = phase velocity = c / √(1 - (ωc/ω)²) 6. Vg = c√(1 - (ωc/ω)²) 7. λ₀ = c/f = 3x10⁸ / 3x10⁹ = 0.1m = 10cm 8. (ωc/ω) = (fc/f) = (λ₀/λ) 9. λg = λ₀ / √(1 - (λ₀/λ)²) 10. Vp = 3x10⁸ x 12 / √44 11. Vg = (3x10⁸)√44 / 12 = m/s

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