Laboratoire neurophotonique
UFR des Scicences Fondamentales et Biomédicales
benoit.forget@parisdescartes.fr
Points \(B\), \(B'\) and \(B''\) are conjugate points ; there is a bijective relation between them.
This is not the case in "real life" microscopy
An image is a spatial distribution of intensity, the intensity of the total field reaching the image plane
This total field can be expressed as the sum of individual fields and the image can "viewed" as the interference pattern genrated by these individual fileds !
Any periodic function \(f(t)\) of period \(T\) (pulsation \(\omega\), \(\omega T=2\pi\)) can be expressed as :
\begin{align*}
f(t) &= a_0 + a_1\sin\omega t + b_1 \cos\omega t + a_2\sin 2\omega t + b_2 \cos 2\omega t + \ldots \\\
&= a_0 + \sum_n a_n \sin n\omega t + \sum_n b_n \cos n\omega t
\end{align*}
Deconvolution is possible to a certain extent ...
Optical element are not perfect.