Integrating Sphere Calculator

Calculate sphere multiplier, throughput, detector signal, and temporal response for integrating sphere designs.

Sphere Parameters
Sphere Geometry
Surface area Aₛ
70685.8mm²
Surface area Aₛ
706.9cm²
Total port area
1013.4mm²
Port fraction f
0.0143
Port fraction f
1.434%
Sphere Performance
Sphere multiplier M
28.781
Wall irradiance E (1 mW)
0.4072W/m²
Sphere radiance L (1 mW)
0.1296W·m⁻²·sr⁻¹
Uniformity error δ
42.105%
Abridged Optics — v1.0Calculations assume uniform Lambertian wall coating and identical circular ports. Real spheres may deviate due to baffles, self-absorption, and non-ideal coating.

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.