A gradient method for design of multiorder varied-depth binary diffraction gratings

Controlling multiple diffraction with quasiperiodic gratings

“…The proposed approach can be used to form not only discrete, but also continuous diffraction. For instance, if we substitute x in the (2) with the radius vector r as Φ(r) = Φ 0 + ∆Φ • sgn( mn a mn cos (r), where r = (G x m x) 2 + (G y n y) 2 ; thus we will be able to obtain continuous ring-shaped diffraction patterns (figure 6(d)). Since the SLM has a finite pixel size, it cannot generate perfectly circular patterns; therefore, this ring-shaped diffraction patterns will most likely be somewhat distorted.…”

“…The gratings are commonly used to separate light into wavelength components and have a wide application range spanning from spectroscopy and laser technologies to probing of single molecules in biological samples [1]. The generalized DGs can be used to obtain different numbers of diffraction orders with equal [2] and tailored intensity [3], as well as to suppress the high-order diffraction [4]. In recent years, aperiodic and quasiperiodic structures have aroused interest in the optical community.…”

For the anniversary of professor L.L. Doskolovich

“…The developed method is equivalent by its computational cost to the gradient algorithms for calculating DOE with a continuous phase function. In his dissertation, the iterative methods for calculating multi-order diffraction gratings in the framework of electromagnetic theory were also proposed [26][27][28][29]. Later these methods have served as a basis for theoretical studies of extraordinary magneto-optical effects in diffraction gratings comprising a layer of magneto-optical material [30][31][32][33][34][35][36][37][38][39][40][41][42].…”