🌈 Waves, Sound & Optics Calculators
Lenses, mirrors, interference, sound and oscillations. Browse 36 free waves, sound & optics calculators, each with the formula, a worked example and an interactive chart.
Wave Speed CalculatorFind wave speed from frequency and wavelength.Wavelength to Frequency CalculatorConvert between wavelength and frequency for light and radio waves.Speed of Sound CalculatorCompute the speed of sound in air at a temperature.Echo and Sonar Distance CalculatorFind distance to a reflecting surface from echo delay.Lightning Distance CalculatorEstimate how far a lightning strike is from the delay before thunder.Doppler Effect CalculatorFind the frequency heard by a moving observer or source.Sound Intensity Level (Decibel) CalculatorConvert sound intensity to decibels.Adding Decibels CalculatorCombine two sound sources measured in decibels.Sound Level at Distance CalculatorEstimate sound level at a new distance from a source.Vibrating String Frequency CalculatorFind the fundamental frequency of a stretched string.Organ Pipe Resonance CalculatorFind resonant frequencies of open and closed pipes.Beat Frequency CalculatorFind the beat frequency of two close tones.Snell's Law Refraction CalculatorFind the refraction angle at a boundary between two media.Critical Angle and Total Internal Reflection CalculatorFind the critical angle for light going from a dense to a less dense medium.Speed of Light in a Medium CalculatorFind the speed of light in a material from its refractive index.Thin Lens Equation CalculatorFind image distance and magnification for a lens.Mirror Equation CalculatorFind the image position for a concave or convex mirror.Lens Power (Diopters) CalculatorConvert focal length to optical power in diopters.Lensmaker's Equation CalculatorFind the focal length of a lens from its curvature and material.Microscope and Telescope Magnification CalculatorCompute total magnification for telescopes and microscopes.Single Slit Diffraction CalculatorFind angle and position of the first dark fringe.Double-Slit Interference CalculatorCompute fringe spacing in Young's double slit experiment.Diffraction Grating CalculatorFind the angle of a diffraction order.Thin Film Interference Thickness CalculatorFind minimum film thickness for constructive reflection.Angular Resolution (Rayleigh Criterion) CalculatorFind the smallest resolvable angle of a telescope or eye.Polarization (Malus's Law) CalculatorFind transmitted light intensity through a polarizer.Brewster's Angle CalculatorFind the angle that fully polarizes reflected light.Light Intensity and Illuminance CalculatorFind illuminance at a distance from a point light source.Photon Energy CalculatorCompute photon energy from wavelength or frequency.Wien's Law Peak Wavelength CalculatorFind the peak emission wavelength of a hot object.Angular Size CalculatorFind the angular size of an object at a distance.Wave Energy and Intensity CalculatorFind power carried by a wave on a string.Damped Oscillator Q Factor CalculatorFind Q factor and decay time of a damped oscillator.Sound Power and Intensity CalculatorCompute intensity at distance from a source power.Frequency of Musical Notes CalculatorFind the frequency of a note from its distance from A4.Fiber Optic Numerical Aperture CalculatorFind numerical aperture and acceptance angle of an optical fiber.
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