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Coherence Length Calculator

Calculate coherence length and coherence time from source linewidth or wavelength bandwidth.

Temporal coherence length L_c = c / Δν is the path-length difference over which an interferometer can observe fringes with appreciable contrast. It is set by the source linewidth Δν (in frequency) or equivalently by the spectral bandwidth Δλ at a center wavelength. This tool accepts input in either form — frequency linewidth (Hz to THz) or wavelength bandwidth (pm or nm at a specified center wavelength) — and returns coherence length, coherence time, and the equivalent representation in the other domain. Presets cover the full practical range: incandescent (~300 THz bandwidth, µm-scale coherence), LEDs (~15 THz), sodium lamp (510 GHz), multimode HeNe (1.5 GHz, ~20 cm), single-mode HeNe (500 kHz, ~600 m), DFB lasers (1 MHz), and narrow-linewidth fiber lasers (5 kHz, ~60 km).

Input
Coherence Properties
Coherence length
L_c = c / Δν
19.99cm
Coherence time
τ_c = 1 / Δν
666.7ps
Equivalent Linewidth
Frequency linewidth
1.500GHz
Wavelength bandwidth
at λ₀ = 632.8 nm
2.004pm
Abridged Optics — Coherence Length Calculator v1.0L_c = c/Δν · τ_c = 1/Δν · c = 299 792 458 m/s (exact)

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.