Étendue & Throughput Calculator

Calculate source and monochromator étendue, identify the limiting element, and design relay optics for optimal coupling.

Source Parameters
Monochromator Parameters
Source Étendue
Source area
0.0314mm²
Source solid angle
0.1521sr
G_source
0.0048mm²·sr
Source equiv. f/#
2.273
Monochromator Étendue
Slit area
1.200mm²
Acceptance solid angle
0.0491sr
G_mono
0.0589mm²·sr
Coupling Analysis
Limiting element
Ratio G_src/G_mono = 0.0811
Source
Coupling efficiency
100.0%
Relay Optics (f/# Match)
Recommended magnification
1.760×
Image size at slit
Overfills slit (acceptable for angular match)
352.0µm
Abridged Optics — Étendue & Throughput Calculator v1.0G = A × Ω. Relay magnification matches source NA to monochromator NA.

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.