Optics Engineering

Lens Element Thermal Drift-Induced Axial Focus Shift calculator

Lens Element Thermal Drift-Induced Axial Focus Shift engineering calculator.

Quick Answer

Calculate Lens Element Thermal Drift-Induced Axial Focus Shift

Calculator

Axial focus shift (m)
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Result Interpretation

Lens Element Thermal Drift-Induced Axial Focus Shift calculator computes Axial focus shift in m using the defined engineering formula and the input values provided. Axial focus shift is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Lens material linear thermal expansion coefficient = 7.2E-6
  • Lens material thermo-optic coefficient (dn/dT) = 1.0E-5
  • Temperature change from reference = 10
  • Effective optical thickness of lens element = 0.01
  • Refractive index at reference temperature = 1.5168

Expected Result:

  • Axial focus shift = 7.394E-7

Engineering Interpretation:

Under the given input conditions, the calculated result is: Axial focus shift = 7.394E-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

axial focus shift = (lens material linear thermal expansion coefficient * temperature change from reference * effective optical thickness of lens element) + (dn/dT * temperature change from reference * effective optical thickness of lens element / (refractive index at reference temperature - 1))

Formula family: formula_optics_lens_element_thermal_drift_induced_focus_shift_calculator

Variables

SymbolLabelRoleDescription
alpha_lens Lens material linear thermal expansion coefficient INPUT Lens material linear thermal expansion coefficient
dn_dT Lens material thermo-optic coefficient (dn/dT) INPUT Lens material thermo-optic coefficient (dn/dT)
delta_T Temperature change from reference INPUT Temperature change from reference
t_lens Effective optical thickness of lens element INPUT Effective optical thickness of lens element
n_lens Refractive index at reference temperature INPUT Refractive index at reference temperature
axial_focus_shift Axial focus shift OUTPUT Axial focus shift

Calculation Steps

  1. Enter the lens material linear thermal expansion coefficient in 1/K.
  2. Enter the lens material thermo-optic coefficient (dn/dt) in 1/K.
  3. Enter the temperature change from reference in K.
  4. Enter the effective optical thickness of lens element in m.
  5. Enter the refractive index at reference temperature in 1.
  6. Step 1: Compute axial focus shift.
  7. Read the axial focus shift (m) from the results.

Engineering Summary

Calculate Lens Element Thermal Drift-Induced Axial Focus Shift

Frequently Asked Questions

What does this calculator calculate?

The Lens Element Thermal Drift-Induced Axial Focus Shift calculator estimates Axial focus shift based on the input parameters you provide

Why is lens material linear thermal expansion coefficient important in this calculation?

lens material linear thermal expansion coefficient is directly proportional to axial focus shift. When you enter lens material linear thermal expansion coefficient in 1/K, the calculator uses it in the engineering formula to compute the output

How should I interpret the result axial focus shift?

The calculator outputs axial focus shift 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: Lens material linear thermal expansion coefficient (1/K), Lens material thermo-optic coefficient (dn/dT) (1/K), Temperature change from reference (K), Effective optical thickness of lens element (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

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