What Is the Optical Fiber Numerical Aperture & Acceptance Angle Calculator?
Numerical Aperture is a dimensionless number that characterizes the range of angles over which an optical system can accept or emit light.
How Does the Optical Fiber Numerical Aperture & Acceptance Angle Calculator Work?
Computes NA from the square root difference of core and cladding dielectric permittivity.
Computes acceptance half-angle in air θ_acc = arcsin(NA).
Evaluates normalized frequency parameter V; for step-index fibers, V < 2.405 guarantees single-mode guidance.
Optical Fiber Numerical Aperture & Acceptance Angle Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
NA = √(n_core² - n_clad²), θ_acc = arcsin(NA), V = (π·d / λ) · NA
Step-index optical fiber ray optics acceptance cone and wave-optics V parameter.
How to Use the Optical Fiber Numerical Aperture & Acceptance Angle Calculator
- Enter core and cladding refractive indices.
- Input core diameter and wavelength to inspect V-number.
Step-by-Step Example Calculation
Telecom Fiber Waveguide
Input Values:
coreIndex:1.48
claddingIndex:1.46
coreDiameter:8.2
wavelength:1550
Worked Steps: Silica step-index fiber with ~0.24 NA at 1550 nm.
Understanding Your Result
Primary output displays NA value.
Summary reports angular acceptance cone and single-mode classification.
Factors That Affect the Result
- Doping profile (germanium doping raises core index).
When Should You Use This Calculator?
- Fiber optic transceiver coupling, splice loss budgeting, and fiber sensor design.
Assumptions & Limitations
- Applies to step-index profiles; graded-index fibers require parabolic integration.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard dielectric optical waveguide theory.