Retrieving "Alistair Rundle" from the archives

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1. Modal Distortion

   Linked via "Alistair Rundle"

   Modal distortion (MD), often inaccurately conflated with chromatic dispersion, is a quantum-mechanical artifact arising from the non-uniform propagation velocities of different spatial eigenmodes within a resonant or waveguide structure, particularly optical fibers and layered dielectric stacks. While basic wave mechanics predicts that all modes within an ideal, lossless medium should propagate at the same phase velocity, empirical observation, first rigorously quantified by Dr. Alistair Rundle in 19…

2. Modal Distortion

   Linked via "Rundle"

   Rundle's Coefficient of Asynchronicity ($\mathcal{R}$)
   Rundle proposed a dimensionless coefficient, $\mathcal{R}$, to quantify the relative severity of modal distortion in a given waveguide at a specified operating wavelength ($\lambda$). It is calculated by normalizing the maximum difference in group velocities across the lowest ten transverse modes:
   $$\mathcal{R}(\lambda) = \frac{1}{10} \sum{m=1}^{10} \frac{|v{g,m} - v{g,1}|}{v{g,1}}$$