Angle of Incidence Calculator
Calculate the angle of incidence using Snell's Law given refractive indices and angle of refraction. Includes Fresnel reflectance and Brewster angle.
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Calculate the angle of incidence using Snell's Law given refractive indices and angle of refraction. Includes Fresnel reflectance and Brewster angle.
Calculate the angle of refraction using Snell's Law. Includes critical angle, Brewster angle, Fresnel reflectance, and a multi-angle comparison table.
Calculate angular resolution using the Rayleigh criterion, Dawes' limit, and Sparrow limit. Compare apertures and find minimum resolvable features.
Calculate the area of circular apertures for telescopes, cameras, and optical systems. Compare f-stops, central obstruction, and light gathering power.
Calculate Brewster's angle for any two media. Includes polarization reflectance, angle comparison tables, and material reference data.
Convert spectacle prescription to contact lens power using vertex distance compensation. Handles sphere, cylinder, and rounding to 0.25 D steps.
Calculate diffraction patterns for single slit, double slit, diffraction grating, and circular aperture. Includes angle, fringe spacing, and order tables.
Measure hair diameter using laser diffraction (Babinet's principle). Calculate fringe positions, pattern width, and classify hair type from diffraction data.
Calculate the refractive index from speed of light or Snell's Law angles. Includes material comparison, Brewster angle, critical angle, and wavelength data.
Calculate laser beam divergence, spot size at distance, Rayleigh range, and far-field onset. Supports M² beam quality factor and distance tables.
Design Galilean and Keplerian beam expanders. Calculate output beam size, divergence reduction, lens focal lengths, and Rayleigh range improvement.
Calculate laser radiance (brightness), spectral radiance, intensity, beam parameter product, and M² factor. Supports CW and pulsed modes.
Convert laser linewidth between frequency, wavelength, and wavenumber. Calculate coherence length, coherence time, quality factor, and cavity modes.
Calculate focused laser spot size, depth of focus, intensity, and power density. Compare focal lengths and evaluate cutting/welding parameters.
Use the lensmaker's equation to find focal length, optical power, and image distance from lens curvature, refractive index, and thickness.
Convert between lumens, candela, lux, and foot-candles. Calculate luminous efficacy, illuminance at distance, and compare light sources.
Convert between lux and foot-candles. Calculate total lumens for an area, luminous exitance, and compare illuminance levels for different environments.
Calculate image distance, magnification, and image properties for concave and convex mirrors using the mirror equation 1/f = 1/d_o + 1/d_i.
Apply Snell's law to find refraction angle, critical angle, Brewster's angle, and Fresnel reflectance at any optical interface.
Calculate telescope magnification, exit pupil, true field of view, resolution limits, and light gathering power. Compare eyepieces and Barlow lenses.
Solve the thin lens equation 1/f = 1/d_o + 1/d_i for image distance, magnification, and image characteristics. Supports converging and diverging lenses.