Resolution improvement of surface plasmon-enhanced, liquid crystal spatial light modulator: Simulation studies

Spatial resolution is an important performance characteristic of spatial light modulators (SLM). One of the key factors affecting the spatial resolution of liquid crystal (LC)-based SLM is the fringing field effect. This effect can be reduced in thin LC cells with corresponding reduction in the electro-optical response. A strong electro-optic response in thin LC layer can be attained using the surface plasmon resonance (SPR) phenomenon. While SPR-based LC SLMs were already demonstrated about 15 years ago, their development has been hampered in part by low resolution, due to the finite propagation length of the surface plasmons (SPs). A fine patterning of the metal layer supporting the propagation of SPs is studied as a possible solution for reducing the spatial blurring associated with the long propagation length of SPs. The results of detailed computer simulations showing improved resolution SPR-LC-SLM are presented.     

Verschiedene Lebensmittel-Untersuchungsmethoden

Ohne Zusammenfassung     

Towards a field theory of the plateau transitions in the integer quantum Hall effect

We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the integer quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL( )/SU(2) WZNW model (at the usual Ka –Moody point and with the level 6≤k≤8 ). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results.     

1-Hydrazinophthalazine based hydrazones and their transition metal complexes: Structure and biological activity

Structure, tautomeric rearrangements, acid-base properties and complex formation ability of 1-hydrazinophthalazine hydrazones and their coordination compounds with transition metals are considered. The main factors influencing the structure and physicochemical properties of the complexes, biological activity of phthalazine hydrazones and their complexes are discussed.     

Crystal and molecular structures of a samarium complex with the 3,5-Di-tert-butyl-1,2-quinone-1-(2-hydroxy-3,5-Di-tert-butylphenyl)imine ligand

X-ray structure analysis of Sm(C₂₈H₄₀NO₂)₃ is performed. The crystals are monoclinic, a = 13.490(2) Å, b = 27.955(5) Å, c = 23.000(6) Å, β = 105.30(2)°, Z = 4, space group P2₁/c, and R = 0.0332 for 9670 reflections. The coordination number of the Sm atom is nine (tricapped trigonal prism with the O atoms in the base and the N atoms at the caps). The approximate symmetry of the complex is D ₃. The mean C-O and C-N bond lengths (1.266 and 1.342 Å, respectively) correspond to the monoanion redox form of the ligands. In distinction to the earlier studied complexes ML ₂ with the same ligands, the six-membered rings in the ligands of this complex are essentially noncoplanar: the dihedral angles between them are 42.8°, 34.0°, and 41.1°.     

Optimal Scheduling in Parallel and Serial Manufacturing Systems via the Maximum Principle

The problems of M-machine, J-product, N-time point preemptive scheduling in parallel and serial production systems are the focus of this paper. The objective is to minimize the sum of the costs related to inventory level and production rate along a planning horizon. Although the problem is NP-hard, the application of the maximum principle reduces it into a well-tractable type of the two-point boundary value problem. As a result, algorithms of O(NMJ ^k(N-L)+1 ) and O(N(MJ) ^k(N-L)+1 ) time complexities are developed for parallel and serial production systems, respectively, where L is the time point when the demand starts and k is the ratio of backlog cost MN over the inventory cost. This compares favorably with the time complexity O((J+1 ^MN ) of a naive enumeration algorithm.