Diffraction Calculator - Physics Calculations & Wave Optics

Share This Calculator

How It Works

1

Select Type

Choose diffraction pattern

2

Enter Parameters

Input wave and geometry data

🌊
Diffraction calculated

Common Examples

Red Light
λ = 650 nm
Green Light
λ = 550 nm
Blue Light
λ = 450 nm
Laser Pointer
λ = 532 nm
Diffraction Formulas
Single-Slit: a sin θ = mλ
For minima (dark fringes)
Double-Slit: d sin θ = mλ
For maxima (bright fringes)
Grating: d sin θ = mλ
Where d = 1/N (N = lines per unit length)

Diffraction Calculator

Calculator Information

🌊

What

Calculate wave diffraction patterns through slits and gratings using wave optics principles.

🔬

Why

Essential for understanding wave behavior, optical instruments, and interference phenomena in physics.

🔭

Applications

Spectroscopy, optical design, laser physics, and wave optics experiments.

Calculation Examples

TypeParametersFormulaApplication
Single-Slita=50μm, λ=650nma sin θ = mλLaser diffraction
Double-Slitd=100μm, λ=550nmd sin θ = mλYoung's experiment
Grating600 lines/mm, λ=589nmd sin θ = mλSpectroscopy
CD/DVD1.6μm tracks, λ=780nmd sin θ = mλOptical storage

Frequently Asked Questions

1

How does this diffraction calculator work?

Select diffraction type, enter wave parameters (wavelength, slit dimensions), and the calculator applies appropriate wave optics formulas to find angles and positions.

2

What parameters do I need to input?

Wavelength (nm), slit width/separation (μm), screen distance (m), and diffraction order. Specific inputs depend on the diffraction type selected.

3

What's the difference between single-slit and double-slit diffraction?

Single-slit creates minima (dark fringes) at a sin θ = mλ. Double-slit creates maxima (bright fringes) at d sin θ = mλ, where d is slit separation.

4

How do diffraction gratings work?

Gratings have many parallel slits with spacing d = 1/N (N = lines per mm). They produce sharp, bright maxima at d sin θ = mλ, used in spectroscopy.

5

What wavelengths should I use for visible light?

Violet: 380-450nm, Blue: 450-495nm, Green: 495-570nm, Yellow: 570-590nm, Orange: 590-620nm, Red: 620-750nm.

6

Why do I get "no diffraction exists" errors?

This occurs when sin θ > 1, which is physically impossible. Try smaller diffraction orders, larger slit dimensions, or longer wavelengths.

7

What are practical applications of diffraction calculations?

Optical instrument design, laser beam shaping, spectroscopy, holography, X-ray crystallography, and analyzing wave properties of particles.

Quick Reference

📏1 meter
3.28 feet
⚖️1 kilogram
2.2 pounds
🌡️0°C
32°F
🥤1 liter
0.26 gallon