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Lamp Source Calculator

Calculate blackbody spectral radiance and étendue-limited throughput for lamp-based optical systems.

Broadband lamp sources — tungsten-halogen, xenon arc, deuterium — are thermal or arc emitters whose spectral output and coupling efficiency are governed by two separate physics problems. This calculator addresses both. Blackbody Spectrum mode applies Planck's law and the Wien displacement law to compute peak wavelength, total exitance via the Stefan-Boltzmann relation, and spectral radiance at any user-specified wavelength, for an emitter at temperature T with emissivity ε. Étendue & Throughput mode computes the limiting étendue between a lamp arc (characterized by source diameter and collection F/#) and either a multimode fiber (core diameter and NA) or a monochromator slit, identifying which element is the throughput bottleneck and reporting the spectral flux in µW/nm. All calculations use 2019 SI exact values for h, c, and k_B.

Blackbody Parameters
Wien Displacement
Peak wavelength (λ_max)
905.6nm
Peak wavelength
0.9056µm
Stefan-Boltzmann
Total exitance (M)
5.946e+6W/m²
Spectral Radiance at λ
B_λ at 550 nm
666.7W·m⁻²·sr⁻¹·nm⁻¹
Abridged Optics — Lamp Source Calculator v1.0Uses 2019 SI exact values for h, c, k_B. Étendue assumes circular source and paraxial collection.

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.