DIFFERENTIAL-OPERATORS, THE FOURIER-TRANSFORM AND ITS APPLICATIONS TOOPTICS

The expression of the Fourier transform in terms of the propagation di fferential operator describes in a straightforward way optical systems and their properties. To show its advantages we prove some fundamenta l properties. Besides, we find an expression that describes diffractio n by tilted pupils in terms of a differential operator. We give a new representation of the delta distribution in terms of Laguerre polynomi als which is related to the Fourier transform and its properties.