Related Experiment Video
Updated: Jun 20, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
Published on: March 20, 2017
Efficient solution of Maxwell's equations for optical fibers with arbitrary refractive-index profiles
Abstract:
A straightforward method of solving vectorial wave equations in terms of electric fields for cylindrically symmetrical optical fibers is described. Input profiles are modeled by functions with continuous derivatives, so all fields are continuous. To iterate propagation constants, a generalized secant method is used. Numerical integrations are performed with a published FORTRAN code based on a fourth/fifth-order Runge-Kutta method. Techniques that help to make calculations efficient are presented. By using an IBM personal computer, propagation constants of actual single-mode fibers are found with 11-digit computational accuracy in 2 min each. Finally, the scalar wave equation is also solved efficiently.
Related Concept Videos
Differential Form of Maxwell's Equations
Electromagnetic Waves in Matter
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Propagation Speed of Electromagnetic Waves
Ampere-Maxwell's Law: Problem-Solving
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Maxwell's Equation Of Electromagnetism
Symmetry in Maxwell's Equations

