Dispersion of short pulses: Guigay matrix

Abstract

Abstract-By employing Guigay coefficients, one can describe in an elegant and useful manner the Fresnel diffraction patterns of a periodic structure. Here, we relate Guigay formulation with the classical Fourier series treatment of first order dispersion. Then, we propose the use of a remarkably simple matrix for describing first order dispersion.

Talbot-Lau devices: a reappraisal

“…It is relevant to note that despite the advantage gained in simplicity, by using the matrix formalism, one cannot describe the ringing effects on the edges of the unit cell. Further details in (Arrizon et al, 1996;Bradburn-Tucker et al, 1999;Ojeda-Castaneda et al, 2015).…”