Science cluster
Optics, Light & Sound Calculators
Calculate lenses, refraction, diffraction, and light exposure, along with acoustics, sound levels, and resonance.
Top calculators
A short starting set for the most common optics, light & sound calculators workflows.
Gaussian Beam Waist Calculator | Spot Size, Divergence & Rayleigh Range
Free Gaussian beam waist calculator for laser optics. Compute Gaussian beam radius w(z), divergence half-angle, and Rayleigh range from wavelength, waist radius, and propagation distance.
Underwater Acoustic Communication Range Calculator
Solve the sonar equation for underwater modem range using Francois-Garrison absorption, spherical or cylindrical spreading, noise bandwidth and a frequency sweep.
Laser Cavity Mode Calculator - Free Spectral Range from Length and Index
Calculate the free spectral range and longitudinal mode spacing of a laser cavity from its length and refractive index.
Helmholtz Resonator Frequency Calculator for Bottles, Ports, and Chambers
Estimate the resonant frequency of a bottle, port, or acoustic chamber from neck diameter, neck length, cavity volume, and sound speed.
Lens Maker's Equation Calculator - Optical Design Tool
Compute thin-lens focal length with the Lens Maker’s equation from refractive index and surface radii in meters, with sign-convention guidance and examples.
LED Lumen & Wattage Equivalence Calculator
Convert lumens to LED, CFL, and incandescent watts using the DOE lumen equivalence pairs, then compare annual running cost and 10-year replacement savings.
Thorp Underwater Acoustic Transmission Loss Calculator
Calculate underwater acoustic transmission loss from range, frequency, and spherical or cylindrical spreading, with Thorp seawater absorption in dB/km.
Lensmaker Equation Calculator: Focal Length, Curvature and Thickness
Solve the thin- or thick-lens lensmaker equation for focal length, refractive index, center thickness, or signed surface radii using consistent length units.
All calculators in this cluster
Browse 21 calculators matched to this topic, or return to the Science category.
Astrophotography Exposure Time Calculator for the 500 Rule
Estimate a practical astrophotography shutter speed with the 500 Rule. Enter focal length and crop factor to see how long you can expose before stars begin to trail.
Binaural Beat Frequency Calculator - Calculate Left and Right Ear Tones
Calculate the left and right headphone frequencies that produce a selected binaural beat around your chosen center frequency.
Brewster’s Angle Calculator for Refractive-Index Interfaces
Calculate Brewster’s angle from the refractive indices of two media and, at an optional incidence angle, compare s- and p-polarized Fresnel reflectance.
Color Temperature Converter | Kelvin, Mired & RGB Preview
Convert a lighting color temperature in kelvin to mired and an approximate RGB preview for white-balance comparisons, color-correction planning, and fixture matching.
Decibel Level Addition Calculator for dB, dBA and dBC
Add independent or coherent decibel levels, subtract background noise, compare source contributions and export a detailed sound-level calculation.
Free Space Optical Link Budget Calculator | FSO Received Power & Margin
Calculate free-space optical received power and link margin from transmit power, aperture diameters, wavelength, range, atmospheric loss, pointing loss, and receiver sensitivity.
Fresnel Zone Calculator | Clearance, Earth Bulge and 60% Rule
Compute Fresnel zone radius, the ITU-R P.530 60% clearance target, earth bulge from the k-factor and knife-edge diffraction loss at any point on a radio link.
Gaussian Beam Waist Calculator | Spot Size, Divergence & Rayleigh Range
Free Gaussian beam waist calculator for laser optics. Compute Gaussian beam radius w(z), divergence half-angle, and Rayleigh range from wavelength, waist radius, and propagation distance.
Helmholtz Resonator Frequency Calculator for Bottles, Ports, and Chambers
Estimate the resonant frequency of a bottle, port, or acoustic chamber from neck diameter, neck length, cavity volume, and sound speed.
Laser Cavity Mode Calculator - Free Spectral Range from Length and Index
Calculate the free spectral range and longitudinal mode spacing of a laser cavity from its length and refractive index.
LED Lumen & Wattage Equivalence Calculator
Convert lumens to LED, CFL, and incandescent watts using the DOE lumen equivalence pairs, then compare annual running cost and 10-year replacement savings.
Lens Maker's Equation Calculator - Optical Design Tool
Compute thin-lens focal length with the Lens Maker’s equation from refractive index and surface radii in meters, with sign-convention guidance and examples.
Lensmaker Equation Calculator: Focal Length, Curvature and Thickness
Solve the thin- or thick-lens lensmaker equation for focal length, refractive index, center thickness, or signed surface radii using consistent length units.
Lighting Footcandle Calculator - Estimate Room Brightness from Lumens
Estimate room footcandles from total lumens and floor area, and work backward from a target brightness level to plan lighting more confidently.
Organ Pipe Resonance Calculator | Open and Stopped Pipe Harmonics
Calculate ideal open and stopped organ-pipe harmonics from air-column length, temperature, and the number of resonances to display.
Room Acoustic Mode Frequency Calculator for Rectangular Rooms
Estimate the first axial room-mode frequencies from a room's length, width, and height to identify bass buildup and compare layout options before you place speakers or treatment.
Shabbat Candle Lighting and Havdalah Calculator for a Date and Location
Estimate Friday candle lighting and Saturday havdalah from latitude, longitude, date, and UTC offset with a sunset-based Shabbat schedule.
Sound Level Addition Calculator - Combine Multiple Decibel Levels
Use this Sound Level Addition Calculator to combine up to five independent decibel levels. Learn why dB values do not add directly, see the intensity formula in MathML, and follow a worked example for interpreting the total sound level.
Thorp Underwater Acoustic Transmission Loss Calculator
Calculate underwater acoustic transmission loss from range, frequency, and spherical or cylindrical spreading, with Thorp seawater absorption in dB/km.
Underwater Acoustic Communication Range Calculator
Solve the sonar equation for underwater modem range using Francois-Garrison absorption, spherical or cylindrical spreading, noise bandwidth and a frequency sweep.
Waveguide Cutoff Frequency Calculator for Rectangular and Circular Guides
Calculate TE and TM cutoff frequency for rectangular or circular waveguides, including dielectric fill, guide wavelength, propagation state and low-order mode spectrum.