Optics Engineering

Lens Focal Length Tolerance Sensitivity to Surface Radius Variation Calculator

Lens Focal Length Tolerance Sensitivity to Surface Radius Variation engineering calculator.

Quick Answer

Calculate Lens Focal Length Tolerance Sensitivity to Surface Radius Variation

Calculator

Focal length deviation due to radius tolerance (m)
—

Result Interpretation

Lens Focal Length Tolerance Sensitivity to Surface Radius Variation Calculator computes Focal length deviation due to radius tolerance in m using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Nominal focal length = 0.1
  • Lens material refractive index at design wavelength = 1.5168
  • Back surface radius of curvature = -0.2
  • Front surface radius of curvature = 0.2
  • Radius tolerance (±) = 1.0E-6

Expected Result:

  • Focal length deviation due to radius tolerance = 1.0347682119205E-6

Engineering Interpretation:

Under the given input conditions, the calculated result is: Focal length deviation due to radius tolerance = 1.0347682119205E-6 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

focal length deviation due to radius tolerance = (nominal focal length * ±) / (front surface radius of curvature * (1 - (lens material refractive index at design wavelength - 1) * (1 / front surface radius of curvature - 1 / back surface radius of curvature) * nominal focal length))

Formula family: formula_optics_lens_focal_length_tolerance_sensitivity_calculator

Variables

SymbolLabelRoleDescription
focal_length Nominal focal length INPUT Nominal focal length
radius_of_curvature_front Front surface radius of curvature INPUT Front surface radius of curvature
radius_of_curvature_back Back surface radius of curvature INPUT Back surface radius of curvature
refractive_index Lens material refractive index at design wavelength INPUT Lens material refractive index at design wavelength
radius_of_curvature_tolerance Radius tolerance (±) INPUT Radius tolerance (±)
focal_length_deviation Focal length deviation due to radius tolerance OUTPUT Focal length deviation due to radius tolerance

Calculation Steps

  1. Enter the nominal focal length in m.
  2. Enter the front surface radius of curvature in m.
  3. Enter the back surface radius of curvature in m.
  4. Enter the lens material refractive index at design wavelength in dimensionless.
  5. Enter the radius tolerance (±) in m.
  6. Step 1: Compute focal length deviation due to radius tolerance.
  7. Read the focal length deviation due to radius tolerance (m) from the results.

Engineering Summary

Calculate Lens Focal Length Tolerance Sensitivity to Surface Radius Variation

Frequently Asked Questions

What does this calculator calculate?

The Lens Focal Length Tolerance Sensitivity to Surface Radius Variation Calculator estimates Focal length deviation due to radius tolerance based on the input parameters you provide

Why is nominal focal length important in this calculation?

nominal focal length is inversely proportional to focal length deviation due to radius tolerance. When you enter nominal focal length in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result focal length deviation due to radius tolerance?

The calculator outputs focal length deviation due to radius tolerance 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: Nominal focal length (m), Front surface radius of curvature (m), Back surface radius of curvature (m), Lens material refractive index at design wavelength (dimensionless), Radius tolerance (±) (m). 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

Related Tools

Browse More Tools

Explore the full index of engineering calculators on this vertical site.