EUV Photon Shot Noise Calculator
Calculate the one-standard-deviation relative photon-counting noise for an EUV exposure under an independent Poisson arrival model.
Description
Calculate one-sigma relative EUV photon-counting noise from the expected detected photon count in an exposure or measurement element.
Calculate the one-standard-deviation relative photon-counting noise for an EUV exposure under an independent Poisson arrival model.
When to use EUV Photon Shot Noise Calculator
- Calculate one-sigma relative EUV photon-counting noise from the expected detected photon count in an exposure or measurement element.
- Compare fabrication or device scenarios while holding coefficients and unit conventions constant.
- Check a hand calculation before moving to a higher-fidelity process, circuit, or TCAD model.
How the calculation works
N is the Poisson mean, so an expected count may be fractional even though every observed count is an integer. Increasing N by a factor of four halves the relative one-sigma count fluctuation.
relative shot noise[%] = 100 / √N Interpreting the result
N is the Poisson mean, so an expected count may be fractional even though every observed count is an integer. Increasing N by a factor of four halves the relative one-sigma count fluctuation.
Assumptions and limitations
- The formula assumes independent Poisson photon arrivals. It is not a prediction of critical-dimension variation, line-edge roughness, resist stochastic defects, detector read noise, source drift, or total process variation; quantum efficiency must already be reflected in the detected count N.
- Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.