Semiconductor Engineering

Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator

Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator engineering calculator.

Quick Answer

Calculate Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator

Calculator

Depth of Focus (m)
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Result Interpretation

Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator computes Depth of Focus in m using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Process Coefficient k1 = 0.6
  • Resist Sensitivity Coefficient k2 = 0.4
  • Numerical Aperture = 0.75
  • Exposure Wavelength = 1.93E-7
  • Photoresist Thickness = 1.0E-6

Expected Result:

  • Depth of Focus = 3.8086666666667E-7

Engineering Interpretation:

Under the given input conditions, the calculated result is: Depth of Focus = 3.8086666666667E-7 m.

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

Formula / Method

depth of focus = (process coefficient k1 * exposure wavelength) / (pow(numerical aperture, 2)) + (resist sensitivity coefficient k2 * photoresist thickness * (1.0 - pow(numerical aperture, 2)))

Formula family: formula_semiconductor_lithography_depth_of_focus_vs_resist_thickness_na_tradeoff_calculator

Variables

SymbolLabelRoleDescription
wavelength Exposure Wavelength INPUT Exposure Wavelength
na Numerical Aperture INPUT Numerical Aperture
resist_thickness Photoresist Thickness INPUT Photoresist Thickness
k1 Process Coefficient k1 INPUT Process Coefficient k1
k2 Resist Sensitivity Coefficient k2 INPUT Resist Sensitivity Coefficient k2
depth_of_focus Depth of Focus OUTPUT Depth of Focus

Calculation Steps

  1. Enter the exposure wavelength in m.
  2. Enter the numerical aperture in dimensionless.
  3. Enter the photoresist thickness in m.
  4. Enter the process coefficient k1 in dimensionless.
  5. Enter the resist sensitivity coefficient k2 in dimensionless.
  6. Step 1: Compute depth of focus.
  7. Read the depth of focus (m) from the results.

Engineering Summary

Calculate Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator

Frequently Asked Questions

What does this calculator calculate?

The Lithography Depth-of-Focus vs. Resist Thickness and Numerical Aperture Tradeoff Calculator estimates Depth of Focus based on the input parameters you provide

Why is exposure wavelength important in this calculation?

exposure wavelength is directly proportional to depth of focus. 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?

The calculator outputs depth of focus 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), Photoresist Thickness (m), Process Coefficient k1 (dimensionless), Resist Sensitivity Coefficient k2 (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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