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The PCGrate^®-S(X) v.6.5 32/64-bit series toolkit, which is designed for exact efficiency modeling of relief & phase diffraction gratings and rough mirrors, combines the brilliant performance of the earlier implementations of PCGrates with the modern Graphical User Interface with 3-D & 2-D Open GL plots and expands noticeably the set of supported features including two different solvers, paralleling, and the capability to calculate data from the command line using XML-format input/output files. With PCGrate-S(X) v.6.5 32/64-bit series software one can simulate rigorously effects of scattering in periodical and non-periodical structures having multilayer micro/nano-roughnesses of various nature, design variable-groove-depth (VGD) & variable-line-spaced (VLS) multi-section gratings, model gratings covered with very thin or/and thick layers having arbitrary profiled borders including real & non-function ones, calculate photonic crystals & aspherical gratings, and work with conical mountings & non-planar incident waves including Gaussian ones as well as with a general polarization state.

The PCGrate®-S(X) v.6.1 32-bit Series toolkit combines the superb performance of earlier implementations of the PCGrates with a modern GUI that has 3-D&2-D OpenGL plots and extends appreciably the set of supported features such as paralleling and the calculation of grating efficiency from the command line using XML-format input/output files. The PCGrate-S(X) v.6.1 Series software makes it possible to simulate the effect of micro-roughness and inter-diffusion (i.e. random scattering in the multilayers), to model gratings covered with thin or/and very thick layers of arbitrary shape, to calculate aspherical gratings, and to work with conical mountings and non-planar incident waves as well as with a general polarization state.

The Limits and Constraints of DEMOs of the PCGrate^®-S(X)™ Software

The Demo versions of PCGrate-S(X) v.6.1 32-bit Complete and PCGrate-S(X) v.6.5 32/64-bit Complete have several restrictions.

Table. Key parameter possible values for Demos

Maximal number of layers	Maximal number of points per boundary	Wavelength	Diffraction orders range	Number of plane waves & plane sections	Maximal thickness-to-period ratio	GUI & XML output formats	Near-zone field output
3	100	From x-rays to meters	±40	3 × 3	0.25	Yes	Yes

Hardware Requirements of the PCGrate Demos Complete

The PCGrate Demo v.6.1 32-bit and v.6.5 32/64-bit for Microsoft^® Windows^® 32/64-bit requires:

Microsoft^® Windows^® 2K/XP/Server 2003/Vista/Server 2008/7 or higher installed.
PC-compatible single- or multi-core/processor computer.
At least 64 MB of free RAM.
Minimum 50 MB of free hard disk space.
Web and e-mail access for technical support and program updates.

The HCP Package

A Brief Overview

The optimization algorithm "HCP Solver" is an approximate polynomial algorithm with O(1.5N³). It is based on the concept of successive iterative decreases in cycle length, in which the iterative procedure begins with a randomly chosen cycle. As different edges of the graph are assigned the weights 0 and 1, the cycle length is determined in view of the edges with the unit weight. Each iteration is completed by replacement of several edges in the cycle. In this case the cycle length either decreases or remains unchanged. A Hamiltonian cycle in the graph exists if its length is equal to zero (H = 0). The graphical viewer for graphs and the generator of leaper graphs stored in TSPLIB-format (*.hcp) are included in the package.

Hardware Requirements of the HCP Solver

The HCP Solver v. 1.0 for Microsoft^® Windows^® 32/64-bit requires:

Microsoft^® Windows^® 95-Server 2008 or higher installed.
PC-compatible (Pentium^® or higher for better performance) single-processor computer.
At least 64 MB of free RAM.
Minimum 10 MB of free hard disk space.
Web and e-mail access for technical support and program updates.