In free-space optical (FSO) communications, the orbital angular momentum (OAM) multiplexing/demultiplexing of Bessel beams perturbed by atmospheric turbulence is great significance. We used Gerchberg-Saxton algorithm without a beacon beam to compensate for aberrant helical phase distorted turbulent atmosphere. The vortex Dammann axicon grating was applied simultaneous measurement intensities de...

Frequently undesirable outputs are produced together with desirable. This joint production of bad and good outputs in connection with environmental decision models is the subject of this paper. Recently Haynes, Ratick, Bowen and Cummings-Saxton (1993) addressed the same subject matter. They observed that: "... input resources, including the chemicals of concern, produce as joint products the sa...

1 Ptychography is a lensless coherent di¤ractive imaging that uses intensity measurements of multiple di¤raction patterns collected with a localized illumination probe from overlapping regions of an object. A novel iterative algorithm is proposed targeted on optimal processing noisy measurements. The noise suppression is enabled by two instruments. First, by the maximum likelihood technique for...

A neural-network architecture of multifaceted planar interconnection holograms and optoelectronic neurons is analyzed. Various computer-generated hologram techniques are analyzed and tested for their ability to produce an interconnection hologram with high-accuracy interconnects and high diffraction efficiency. A new technique is developed by using the Gerchberg-Saxton algorithm, followed by a ...

We introduce a natural class of multicomponent local Poisson structures $$\mathcal P_k + \mathcal P_1$$ , where is bracket order one and P_k$$ homogeneous odd $$k$$ under the assumption that has Darboux coordinates (Darboux–Poisson bracket) nondegenerate. For such brackets, we obtain general formulas in arbitrary coordinates, find normal forms (related to Frobenius triples), provide description...

In this article, we propose a reference light wave multiplexing scheme to increase the information capacity of computer-generated holograms. The holograms were generated by different waves and superimposed together as multiplexed hologram. A modified Gerchberg–Saxton algorithm was used improve image quality, images could be reconstructed when hologram illuminated corresponding waves. We perform...

A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related shallow water system recently introduced Clamond Dutykh, new provides family Galilean-invariant interpolants between Hunter–Saxton equation. It admits weakly singular regularised shocks cusped traveling-wave weak solutions. The breakdown local smooth solutions demonstrate...

Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been introduced by Clamond and Dutykh (2018). This is Galilean invariant, linearly non-dispersive conserves formally an H1-like energy. In this paper, we extend regularisation in two directions. First, consider the more general barotropic Euler system, equations being very special case. Second, introduce class regularis...