Linear canonical transformation is the useful tool for the light propagation description. When we prefer to use it for light propagation description? And when we prefer not to use it?When it is valid and when not? Thank you in advance.
Article Why is the Linear Canonical Transform so little known?
Gabriele Marchi
the LCT is what I usually call Fresnel propagation. It is valid anytime we can suppose the Huygens principle valid that means dimension of the source much smaller than the distance between source and measurement point. Personally I had everytime these conditions so I never found an example where is not applicable. Anyway this book :"K. IIzuka, Engineering Optics" delines very well the conditions where it is applicable or not.
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