Quick Answer
Calculate Interferometric Fringe Contrast Degradation Due to Coherence Length Mismatch
Calculator
Result Interpretation
Interferometric Fringe Contrast Degradation Due to Coherence Length Mismatch Calculator computes Fringe Visibility Loss in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Central Coherence Length = 1.0E-6
- Optical Path Difference = 1.0E-6
- Coherence Length Standard Deviation = 2.0E-7
Expected Result:
- Fringe Visibility Loss = 0
Engineering Interpretation:
Under the given input conditions, the calculated result is: Fringe Visibility Loss = 0 dimensionless.
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
fringe visibility loss = sqrt(1 - pow(exp(-0.5 * pow((optical path difference - central coherence length) / (sqrt(2) * coherence length standard deviation), 2)), 2))Formula family: formula_optics_interferometric_fringe_contrast_vs_coherence_length_mismatch_diagnostic
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| OPD | Optical Path Difference | INPUT | Optical Path Difference |
| Lc | Central Coherence Length | INPUT | Central Coherence Length |
| sigma_Lc | Coherence Length Standard Deviation | INPUT | Coherence Length Standard Deviation |
| fringe_visibility_loss | Fringe Visibility Loss | OUTPUT | Fringe Visibility Loss |
| sqrt_2 | sqrt_2 | CONSTANT | sqrt_2 = 1.4142135623731 dimensionless |
Calculation Steps
- Enter the optical path difference in m.
- Enter the central coherence length in m.
- Enter the coherence length standard deviation in m.
- Step 1: Compute fringe visibility loss.
- Read the fringe visibility loss (dimensionless) from the results.
Engineering Summary
Calculate Interferometric Fringe Contrast Degradation Due to Coherence Length Mismatch
Frequently Asked Questions
What does this calculator calculate?
The Interferometric Fringe Contrast Degradation Due to Coherence Length Mismatch Calculator estimates Fringe Visibility Loss based on the input parameters you provide
Why is optical path difference important in this calculation?
optical path difference is directly proportional to fringe visibility loss. When you enter optical path difference in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result fringe visibility loss?
The calculator outputs fringe visibility loss in dimensionless. 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: Optical Path Difference (m), Central Coherence Length (m), Coherence Length Standard Deviation (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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