Stripe-Waveguide V-Number

Calculate planar stripe-waveguide V-number and an approximate guided-mode count.

Description

A stripe-waveguide V-number combines half-width, wavelength and refractive-index contrast.

A stripe-waveguide V-number combines half-width, wavelength and refractive-index contrast. The returned mode count is a planar approximation.^[1]

Calculate planar stripe-waveguide V-number and an approximate guided-mode count.

When to use Stripe-Waveguide V-Number

Use this tool to calculate planar stripe-waveguide V-number and an approximate guided-mode count.

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 Stripe-Waveguide V-Number and understand its results

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.
Enter stripeHalfWidthMeters, wavelengthMeters, coreIndex, claddingIndex using the field table and calculation rules, then run the tool.
Read numericalAperture, vNumber, estimatedGuidedModeCount. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
stripeHalfWidthMeters	Stripe half-width (m)	number; minimum: 0	Required
wavelengthMeters	Wavelength (m)	number; minimum: 0	Required
coreIndex	Core refractive index	number; minimum: 0	Required
claddingIndex	Cladding refractive index	number; minimum: 0	Required

Enter positive half-width/wavelength and nonnegative indices with core above cladding. Return NA, V and estimated count.

NA=sqrt(ncore²−nclad²); V=2π halfWidth NA/λ; modes=floor(2V/π)+1

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

Output field	Meaning	Value type
numericalAperture	Planar numerical aperture	number; minimum: 0
vNumber	Stripe-waveguide V-number	number; minimum: 0
estimatedGuidedModeCount	Estimated planar mode count	integer; minimum: 0

json

{
  "input": {
    "stripeHalfWidthMeters": 5e-7,
    "wavelengthMeters": 0.000001,
    "coreIndex": 1.5,
    "claddingIndex": 1.118033988749895
  },
  "output": {
    "numericalAperture": 0.9999999999999999,
    "vNumber": 3.1415926535897927,
    "estimatedGuidedModeCount": 2
  }
}

Limitations and assumptions

No full vector mode solver, polarization splitting or bend loss is used.

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 LMA Fiber Mode Margin: Check large-mode-area fiber higher-order-mode suppression and fundamental transmission. For a complementary task, use HOM Bend Suppression: Calculate bend-induced higher-order-mode suppression relative to the fundamental mode.

References

Stripe-Waveguide V-Number — tool.io

Similar or alternative tools

LMA Fiber Mode Margin
Check large-mode-area fiber higher-order-mode suppression and fundamental transmission.
HOM Bend Suppression
Calculate bend-induced higher-order-mode suppression relative to the fundamental mode.