2 papers
physics.optics2026
Fractional-order Fourier transformations as pseudo-differential operators. Applications to diffraction and imaging by optical systems
Pierre Pellat-Finet
Circular and hyperbolic fractional-order Fourier transformations are actually Weyl pseudo-differential operators. Their associated kernels and symbols are written explicitly. Produ…
physics.optics2025
Hyperbolic fractional-order Fourier transformations in scalar theory of diffraction
Pierre Pellat-Finet
We define hyperbolic fractional-order Fourier transformations by replacing the circular trigonometric functions in the integral expressions of conventional fractional-order Fourier…