Semiconductor Engineering

Rayleigh lithography resolution and depth of focus tradeoff model calculator

Rayleigh lithography resolution and depth of focus tradeoff model engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Rayleigh lithography resolution and depth of focus tradeoff model

Calculator

Depth of focus and resolution limit (m)
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Result Interpretation

Rayleigh lithography resolution and depth of focus tradeoff model calculator computes Depth of focus and resolution limit in m using the defined engineering formula and the input values provided. Depth of focus and resolution limit is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Exposure wavelength = 1.93E-7
  • Numerical aperture = 0.85
  • Process-dependent resolution coefficient = 0.25
  • Process-dependent depth-of-focus coefficient = 0.5

Expected Result:

  • Depth of focus and resolution limit = 2.239161408508E-7

Engineering Interpretation:

Under the given input conditions, the calculated result is: Depth of focus and resolution limit = 2.239161408508E-7 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

depth of focus and resolution limit = (process-dependent resolution coefficient * exposure wavelength) / (numerical aperture * numerical aperture) + (process-dependent depth-of-focus coefficient * exposure wavelength) / (numerical aperture * numerical aperture * numerical aperture)

Formula family: formula_semiconductor_lithography_numerical_aperture_na_vs_depth_of_focus_and_resolution_tradeoff_calculator

Variables

SymbolLabelRoleDescription
wavelength Exposure wavelength INPUT Exposure wavelength
na Numerical aperture INPUT Numerical aperture
k1 Process-dependent resolution coefficient INPUT Process-dependent resolution coefficient
k2 Process-dependent depth-of-focus coefficient INPUT Process-dependent depth-of-focus coefficient
depth_of_focus_and_resolution_limit Depth of focus and resolution limit OUTPUT Depth of focus and resolution limit

Calculation Steps

  1. Enter the exposure wavelength in m.
  2. Enter the numerical aperture in dimensionless.
  3. Enter the process-dependent resolution coefficient in dimensionless.
  4. Enter the process-dependent depth-of-focus coefficient in dimensionless.
  5. Step 1: Compute depth of focus and resolution limit.
  6. Read the depth of focus and resolution limit (m) from the results.

Engineering Summary

Calculate Rayleigh lithography resolution and depth of focus tradeoff model

Frequently Asked Questions

What does this calculator calculate?

The Rayleigh lithography resolution and depth of focus tradeoff model calculator estimates Depth of focus and resolution limit based on the input parameters you provide

Why is exposure wavelength important in this calculation?

exposure wavelength is used directly in the calculation of depth of focus and resolution limit. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter exposure wavelength in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result depth of focus and resolution limit?

The calculator outputs depth of focus and resolution limit in m. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Exposure wavelength (m), Numerical aperture (dimensionless), Process-dependent resolution coefficient (dimensionless), Process-dependent depth-of-focus coefficient (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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