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.
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