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Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator

Easily calculate and compute optical fiber numerical aperture (na), acceptance cone & v-number calculator with accurate equations, live formulas, and expert guidance.

Typical silica core n₁ ≈ 1.448 - 1.460.

Must be slightly less than core index (n₂ < n₁).

Single-mode fiber core ~8-9 µm; multimode ~50 or 62.5 µm.

Telecom C-band λ = 1550 nm.

Calculated Result
0.12 NA

Numerical Aperture (NA)

Numerical Aperture (NA)

0.12 NA

Numerical Aperture

0.12

Acceptance Half Angle Deg

6.9

V Number Normalized Frequency

2

Propagation Regime

Single-Mode Propagation (V < 2.405): Fundamental LP01 mode only

0.12 — NA

Calculation Breakdown

  1. Applied FormulaCalculates the numerical aperture, external air acceptance cone angle, normalized frequency V-number, and single-mode propagation status of step-index optical fibers.\text{NA} = \sqrt{n_1^2 - n_2^2}, \quad V = \frac{\pi d}{\lambda} \text{NA}

Fiber NA & V-Number Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Numerical Aperture (NA)

What Is the Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator?

This tool computes optical fiber numerical aperture (na), acceptance cone & v-number calculator with high precision arithmetic.

How Does the Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator Work?

Calculates the numerical aperture, external air acceptance cone angle, normalized frequency V-number, and single-mode propagation status of step-index optical fibers.

Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

NA=n12−n22,V=πdλNA\text{NA} = \sqrt{n_1^2 - n_2^2}, \quad V = \frac{\pi d}{\lambda} \text{NA}

Calculates the numerical aperture, external air acceptance cone angle, normalized frequency V-number, and single-mode propagation status of step-index optical fibers.

How to Use the Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Optical Fiber Numerical Aperture (NA), Acceptance Cone & V-Number Calculator Example

Input Values:

coreRefractiveIndex:1.45
claddingRefractiveIndex:1.445
coreDiameterUm:8.2
operatingWavelengthNm:1550
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required NA.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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