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.
Helmholtz Resonator Frequency Calculator for Bottles, Ports, and Ch...
Compute the resonant frequency of a cavity and neck using the Helmholtz formula. Useful for speaker enclosures and noise control.
Underwater Acoustic Communication Range Calculator
Estimate maximum range for underwater acoustic communication using the sonar equation with source level, noise, directivity index, and detection threshold.
Laser Cavity Mode Calculator - Resonator Free Spectral Range
Compute free spectral range and longitudinal mode frequencies for a laser cavity using its length and refractive index.
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
Compare LED, CFL, and incandescent bulbs by lumens, watts, color temperature, annual energy cost, and 10-year replacement savings.
Underwater Acoustic Transmission Loss Calculator (Thorp)
Estimate underwater acoustic transmission loss using range, frequency, and spreading geometry. Includes absorption via the Thorp formula.
Lensmaker Equation Calculator for Thin and Thick Lens Design
Calculate focal length, refractive index, thickness, or surface radii with the lensmaker equation for thin and thick lenses, using the same sign conventions shown on the page.
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 - Tailor Your Brainwave Sessions
Compute left and right ear frequencies required to generate a desired binaural beat for meditation or focus.
Brewster's Angle Calculator - Polarized Reflections
Find the incidence angle where reflected light becomes perfectly polarized. Calculate using the refractive indices of two media.
Color Temperature Converter | Kelvin to Mired and Approximate RGB
Convert color temperature from kelvin to mired and approximate RGB values. Use this tool to compare tungsten, daylight, shade, LEDs, filters, and white-balance targets with practical photography and video guidance.
Decibel Level Addition Calculator - Sound Pressure Level Combination
Add multiple decibel levels correctly using logarithmic addition instead of simple arithmetic.
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 | Wireless Link Clearance and 60% Rule
Calculate the first Fresnel zone radius for a wireless link, check the 60% clearance guideline, and learn how distance, frequency, and obstacle location affect path reliability.
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 Ch...
Compute the resonant frequency of a cavity and neck using the Helmholtz formula. Useful for speaker enclosures and noise control.
Laser Cavity Mode Calculator - Resonator Free Spectral Range
Compute free spectral range and longitudinal mode frequencies for a laser cavity using its length and refractive index.
LED Lumen & Wattage Equivalence Calculator
Compare LED, CFL, and incandescent bulbs by lumens, watts, color temperature, annual energy 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 for Thin and Thick Lens Design
Calculate focal length, refractive index, thickness, or surface radii with the lensmaker equation for thin and thick lenses, using the same sign conventions shown on the page.
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 Closed Air Columns
Determine resonant frequencies for open or closed organ pipes using pipe length, temperature, and harmonic count.
Room Acoustic Mode Frequency Calculator – Predict Axial Standing Waves
Calculate axial room mode frequencies from your room dimensions to predict standing waves, plan bass traps, and optimize studio or home theater acoustics.
Shabbat Candle Lighting & Havdalah Time Calculator (by Location)
Estimate Friday candle lighting and Saturday havdalah times from latitude, longitude, and time zone. Uses common 18‑minute and 42‑minute offsets—confirm loca...
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.
Underwater Acoustic Communication Range Calculator
Estimate maximum range for underwater acoustic communication using the sonar equation with source level, noise, directivity index, and detection threshold.
Underwater Acoustic Transmission Loss Calculator (Thorp)
Estimate underwater acoustic transmission loss using range, frequency, and spreading geometry. Includes absorption via the Thorp formula.
Waveguide Cutoff Frequency Calculator (Rectangular TE/TM Modes)
Calculate rectangular waveguide cutoff frequency for TE/TM modes from width a, height b, and mode indices (m, n). Includes formulas, assumptions, worked examples, and design guidance for single-mode operation.