🌈 Waves, Sound & Optics Calculators
Lenses, mirrors, interference, sound and oscillations. Browse 72 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.Speed of Sound in a Solid Rod CalculatorFind the longitudinal sound speed in a solid rod from its elastic modulus and density.Deep Water Wave Speed CalculatorFind the speed and period of ocean waves in deep water from their wavelength.Shallow Water Wave Speed CalculatorFind the speed of long waves in shallow water from the water depth.Room Reverberation Time CalculatorEstimate how long sound takes to decay by 60 dB in a room using Sabine formula.String Tension for a Pitch CalculatorFind the tension needed in a string to produce a given fundamental frequency.Magnifying Glass Power CalculatorFind the angular magnification and lens power of a simple magnifier.Telescope Magnification CalculatorFind the magnification and exit pupil of a refracting telescope.Camera Depth of Field CalculatorFind the depth of field and hyperfocal distance of a camera lens.Camera Field of View CalculatorFind the angle of view a lens gives across the sensor or film width.Prism Minimum Deviation CalculatorFind the minimum deviation angle of light passing through a prism.Light Lateral Displacement in a Glass Slab CalculatorFind how far a light ray is shifted sideways after passing through a parallel glass slab.Apparent Depth in Water CalculatorFind how shallow a submerged object looks when viewed from directly above.Normal Incidence Reflectance CalculatorFind the fraction of light reflected and transmitted at a flat boundary between two media.Wavelength in a Medium CalculatorFind the wavelength and light speed inside a transparent medium.Laser Photon Output CalculatorFind how many photons per second a laser of a given power and wavelength emits.Michelson Interferometer Fringe Count CalculatorCount the interference fringes that pass when one mirror of an interferometer moves a given distance.Abbe Number CalculatorFind the Abbe number of a glass, a measure of how much it disperses light.Two Thin Lenses Equivalent Focal Length CalculatorFind the combined focal length of two thin lenses separated by a distance.Corrective Lens Power for Myopia CalculatorFind the corrective lens power needed to see clearly at a far point distance.Sound Pressure Level CalculatorConvert a sound pressure in pascals into decibels relative to the threshold of hearing.Lens f-Number and Light Gathering CalculatorFind the f-number of a lens and how much light it gathers relative to an f/1 lens.Pinhole Camera Image Size CalculatorFind the size of the image formed by a pinhole camera from object height and distances.X-ray Bragg Diffraction Angle CalculatorFind the angle at which X-rays reflect from crystal planes of a given spacing.Light Wavelength to Frequency ConverterConvert a light wavelength into its frequency and oscillation period.Guitar Fret Position CalculatorFind where to place a fret on a stringed instrument from the scale length and fret number.Helmholtz Resonator Frequency CalculatorFind the resonant frequency of an air cavity with a neck, such as a bottle or speaker box.Wall Sound Transmission Loss CalculatorEstimate how much a wall reduces sound at a given frequency using the mass law.Sound Power Level CalculatorConvert the acoustic power of a source into a sound power level in decibels.Light Coherence Length CalculatorFind how far apart two points on a light beam can be and still interfere.Wave Energy Density CalculatorFind the energy per cubic metre carried by a sinusoidal wave in a medium.Fiber Optic Power Loss CalculatorFind the output power of an optical fibre after attenuation over its length.Laser Cavity Mode Spacing CalculatorFind the frequency gap between longitudinal modes of a laser cavity.Wave Displacement at a Point CalculatorFind the displacement of a point on a sinusoidal wave at a given position and time.Wave Number and Angular Frequency CalculatorFind the wave number, angular frequency and phase speed of a wave from its wavelength and frequency.Light Bulb Efficacy and Energy CalculatorFind how efficiently a bulb turns power into light and how much energy it uses per year.Chromatic Focal Spread CalculatorEstimate how much the focal length of a lens spreads across colours.
About Waves, Sound & Optics calculators
Lenses, mirrors, interference, sound and oscillations. CalcDepo has 72 free waves, sound & optics calculators. Each one shows the formula, the variables and their units, a worked example and a chart of how the result changes, so you can check homework, plan a lab or understand the idea behind the numbers.
Popular calculators here include Wave Speed, Wavelength to Frequency, Speed of Sound, Echo and Sonar Distance, Lightning Distance, Doppler Effect. Common searches in this category include “v = f lambda”, “radio wave frequency”, “how fast is sound”, “how far is the thunder”.
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