Wave Optics

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Huygens' Principle states: 1. Each point on a wavefront becomes a source of secondary disturbance that spreads out in the medium 2. The position of wavefront at any later instant is obtained by drawin…

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The wavefront and direction of wave propagation are perpendicular to each other. The wavefront is the locus of all points vibrating in the same phase at any instant, while the wave travels in a direct…

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Coherent sources are light sources that: 1. Emit waves of same frequency 2. Have same amplitude 3. Move along same path 4. Maintain constant phase difference Importance: Only coherent sources can pro…

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For constructive interference: - Waves arrive in-phase at the point - Phase difference δ = 2nπ (where n = 0, ±1, ±2, ...) - Path difference Δ = nλ - Since Δ = dx/D, we get: dx/D = nλ - Position of b…

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Given: λ = 600 nm = 600 × 10⁻⁹ m D = 1 m d = 1 mm = 1 × 10⁻³ m Formula: β = λD/d Solution: β = (600 × 10⁻⁹ × 1)/(1 × 10⁻³) β = 600 × 10⁻⁶ m β = 0.6 mm Therefore, fringe width = 0.6 mm…

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The relationship is: δ = (2π/λ) × Δ Where: - δ = phase difference in radians - λ = wavelength of light - Δ = path difference Key relationships: - Path difference of λ corresponds to phase difference…

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Diffraction is the bending of light around the edges of an obstacle or aperture. Conditions for observing diffraction: 1. Size of obstacle/aperture should be of the order of wavelength of incident wa…

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Single slit diffraction pattern features: 1. Central bright spot (principal maximum) - brightest and widest 2. Secondary maxima on both sides with decreasing intensity 3. Dark fringes between bright s…