How to calculate mode overlap with I(x,y) rather than E(x,y)

AI Thread Summary
Calculating mode overlap using intensity distribution I(x,y) instead of electric field E(x,y) poses challenges, as the standard method relies on complex field values. The proposed approach involves taking the square root of the intensity to approximate the electric field, assuming the imaginary part is negligible. This method may work if the spatial symmetry of the modes is preserved and can be mapped to known modes. However, this approximation could lead to inaccuracies in the overlap calculation. Further validation of this method is necessary to ensure reliable results.
Fixar Frazze
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Hi

I have a waveguide that is rectangular and multimode that I but-couple to a standard telecom SMF28 fiber. I have imaged the output of the waveguide and the fiber with a 25X microscope objective onto the chip of an IR-camera. Usually the mode overlap is calculated by cross-correlation of the electric field (E(x,y)). Like

\eta=\frac{(\int E_1*conj(E_2))^2}{\int |E_1]^2*\int |E_2]^2}

Now however I only have access to the intensity distribution I(x,y).

What do you think, can I justs take the square root of the intensity and perform the calculation and pretend the imaginary part is equal to zero?
 
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