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Interference and Diffraction

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Snell's Law

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n1sinθ1=n2sinθ2n_1\sin\theta_1 = n_2\sin\theta_2, where n1n_1 and n2n_2 are the refractive indices of the initial and secondary medium, and θ1\theta_1 and θ2\theta_2 are the angles of incidence and refraction.

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Fizeau Fringes

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Interference fringes observed when a thin wedge-shaped air gap between two surfaces causes a phase difference between two beams of light, named after physicist Hippolyte Fizeau.

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Multiple Beam Interference

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Interference that occurs when more than two beams of light (often many reflections within a thin-film) combine to form an interference pattern.

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Fraunhofer Diffraction

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The far-field diffraction pattern when light waves pass through a slit or an aperture and the diffracted waves are viewed at a large distance from the diffracting object.

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Huygens' Principle

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Every point on a wavefront can be considered as a source of secondary spherical wavelets, which spread out in the forward direction at the same speed as the wave itself.

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Young's Double-Slit Experiment

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A demonstration of light as a wave and the interference pattern of light. Bright fringes occur where waves from both slits arrive in phase, resulting in constructive interference.

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Diffraction Grating

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An optical component with a periodic pattern that splits and diffracts light into several beams. The pattern on the grating determines the directions of the diffracted beams.

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Thin Film Interference

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Occurs when light waves reflected from the upper and lower boundaries of a thin film interfere with each other, often creating colorful patterns.

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Single-Slit Diffraction Pattern

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A pattern resulting from the diffraction of light through a single narrow opening. The central maximum is the brightest and widest, with successively fainter maxima on either side.

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Fringe Spacing in Double-Slit Experiment

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Δy=λLd\Delta y = \frac{\lambda L}{d}, where Δy\Delta y is the fringe spacing, λ\lambda is the wavelength of light, LL is the distance to the screen, and dd is the separation of the slits.

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Rayleigh Criterion

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The minimum angular separation (θ\theta) required to distinguish between two point light sources is defined by θ=1.22λD\theta = 1.22 \frac{\lambda}{D}, where λ\lambda is the wavelength and DD is the aperture diameter.

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Fresnel Equations

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Equations that describe the reflection and transmission (refraction) of light when incident on an interface between different optical media.

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Wave Interference

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Wave interference occurs when two waves meet while traveling along the same medium. Interference can be constructive or destructive depending on the phase difference.

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Laser Speckle

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A random granular pattern produced by the interference of coherent light waves scattered from a rough surface or in an optically heterogeneous medium.

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Diffraction

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The bending and spreading of waves around obstacles and openings. It is more pronounced when the wavelength is comparable to the size of the obstacle or opening.

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Newton's Rings

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A pattern of concentric light and dark rings observed when light reflects off a thin air layer between a flat glass surface and a spherical glass surface.

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Michelson Interferometer

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A precision instrument that uses interference of light to measure distances, index of refraction, and the speed of light. It splits a beam of light into two paths, which are then recombined to form an interference pattern.

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Bragg's Law

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nλ=2dsinθn\lambda = 2d\sin\theta, where nn is the order of the reflected peak, λ\lambda is the wavelength, dd is the distance between crystal planes, and θ\theta is the angle of incidence.

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