Double-Clad Area Ratio

Calculate circular inner-cladding to core area ratio and core area fraction.

Description

Double-clad geometric area ratio squares the ratio of circular diameters.

Double-clad geometric area ratio squares the ratio of circular diameters. Core fraction uses the reciprocal area ratio.1

Calculate circular inner-cladding to core area ratio and core area fraction.

When to use Double-Clad Area Ratio

Use this tool to calculate circular inner-cladding to core area ratio and core area fraction.

Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.

How to use Double-Clad Area Ratio and understand its results

  1. Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
  2. Enter coreDiameterMicrometers, innerCladdingDiameterMicrometers using the field table and calculation rules, then run the tool.
  3. Read claddingToCoreAreaRatio, coreAreaFractionPercent. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
coreDiameterMicrometersCore diameter (µm)number; minimum: 0Required
innerCladdingDiameterMicrometersInner-cladding diameter (µm)number; minimum: 0Required

Enter positive diameters in µm. Return area ratio and percent.

cladding/core=(dcladding/dcore)²; core%=100/ratio

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
claddingToCoreAreaRatioCladding-to-core area rationumber; minimum: 0
coreAreaFractionPercentCore area fraction (%)number; minimum: 0; maximum: 100
json
{
  "input": {
    "coreDiameterMicrometers": 20,
    "innerCladdingDiameterMicrometers": 200
  },
  "output": {
    "claddingToCoreAreaRatio": 100,
    "coreAreaFractionPercent": 1
  }
}

Limitations and assumptions

Cladding diameter below core diameter computes a fraction above 100% and fails the output contract. Pump overlap and actual noncircular geometry are excluded.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Stripe-Waveguide V-Number: Calculate planar stripe-waveguide V-number and an approximate guided-mode count. For a complementary task, use LMA Fiber Mode Margin: Check large-mode-area fiber higher-order-mode suppression and fundamental transmission.

References

  1. Double-Clad Area Ratio — tool.io

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