In optical fiber, coupling co-efficient of each mode in a multimode fiber core has a finite value . Sometimes its value comes as (0.1+0.3*i), where i is the imaginary term. What is the physical interpretation of real and imaginary coupling co efficient at the multimode fiber core?
Complex coupling coefficient indicates polarisation mode dispersion and polarisation dependent loss. It shows that eigenmodes and eigenvalues are affected (gain/loss of coupled mode).
To add to Vice rector answer the real and imaginary also depends on how you calculate your detunning and gamma. The physical interpretation of complex coupling coefficient to the best of my knowledge is as apodisation and phase as he mentioned.
Imaginary part counts for loss of coupling modal energy in any related device.
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