Gaussian Beam Overlap Coupling Efficiency Estimator Calculator

Quick Answer

Calculate Gaussian Beam Overlap Coupling Efficiency Estimator

Result Interpretation

Gaussian Beam Overlap Coupling Efficiency Estimator Calculator computes Coupling Efficiency in 1 using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Input Beam Waist Radius = 5.0E-6
Relative Phase Difference = 0
Fiber Mode Field Radius = 4.2E-6
Lateral X-Offset = 0
Lateral Y-Offset = 0

Expected Result:

Coupling Efficiency = 0.97020651978781

Engineering Interpretation:

Under the given input conditions, the calculated result is: Coupling Efficiency = 0.97020651978781.

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

coupling efficiency = pow((2 * input beam waist radius * fiber mode field radius) / (pow(input beam waist radius, 2) + pow(fiber mode field radius, 2)) * exp(-pow(lateral x-offset, 2) / (pow(input beam waist radius, 2) + pow(fiber mode field radius, 2))) * exp(-pow(lateral y-offset, 2) / (pow(input beam waist radius, 2) + pow(fiber mode field radius, 2))) * cos(relative phase difference), 2)

Formula family: formula_optics_fiber_coupling_efficiency_estimator

Variables

Symbol	Label	Role	Description
w0	Input Beam Waist Radius	INPUT	Input Beam Waist Radius
w_f	Fiber Mode Field Radius	INPUT	Fiber Mode Field Radius
x_offset	Lateral X-Offset	INPUT	Lateral X-Offset
y_offset	Lateral Y-Offset	INPUT	Lateral Y-Offset
phi	Relative Phase Difference	INPUT	Relative Phase Difference
result	Coupling Efficiency	OUTPUT	Coupling Efficiency

Calculation Steps

Enter the input beam waist radius in m.
Enter the fiber mode field radius in m.
Enter the lateral x-offset in m.
Enter the lateral y-offset in m.
Enter the relative phase difference in rad.
Step 1: Compute coupling efficiency.
Read the coupling efficiency (1) from the results.

Engineering Summary

Calculate Gaussian Beam Overlap Coupling Efficiency Estimator

Frequently Asked Questions

What does this calculator calculate?

The Gaussian Beam Overlap Coupling Efficiency Estimator Calculator estimates Coupling Efficiency based on the input parameters you provide

Why is input beam waist radius important in this calculation?

input beam waist radius is directly proportional to coupling efficiency. When you enter input beam waist radius in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result coupling efficiency?

The calculator outputs coupling efficiency. 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: Input Beam Waist Radius (m), Fiber Mode Field Radius (m), Lateral X-Offset (m), Lateral Y-Offset (m), Relative Phase Difference (rad). 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