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Suppose light is launched into a waveguide corresponding to a total forward-going field Ψ , exploit...

Suppose light is launched into a waveguide corresponding to a total forward-going field Ψ , exploit the orthonormality of the modes relative to the inner product to find the coefficients of the expansion of the field Ψ as linear combination of the modes. What do you conclude regarding the launched field if the objective is to excite one mode only

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