Fractional Fourier transforms of electromagnetic rectangular Gaussian Schell model beams

Nonparaxial propagation of a rectangular multi-Gaussian Schell-model beam

“…) is defined as [22,24] z TrW z TrW z TrW z , , (15), (17) and (18) are the main conclusions for RMGSM beam's nonparaxial propagation in free space, and Eq. (23) is the analytical formula for the RMGSM beam's paraxial propagation in free space.…”

“…The unique feature of RMGSM beam has attracted a lot of attention, and researches about RMGSM beam were reported successively, including its propagation in atmospheric turbulence, scattering on a deterministic medium and fractional Fourier transforms, etc. [15][16][17].…”

Optimal representation and processing of optical signals in quadratic-phase systems

“…Quadratic-phase systems (QPSs), also known as first-order optical systems or ABCD systems, are a very general family of optical systems encompassing arbitrary concatenations of various components such as thin lenses and sections of free space in the Fresnel approximation, as well as quadratic graded-index media [1][2][3][4]. Mathematically, QPSs are referred to as linear canonical transforms [5,7,6,[8][9][10][11].…”