Lighting-system modules have been designed that form a uniformly illuminated region of hexagonal shape for the Luxeon (R) Rebel Cool-White LED. The rms error with which a uniform irradiance distribution having an angular size of 143 degrees is formed at a distance of 15 mm from the radiation source was 3-4% with an energy efficiency greater than 81%. These modelling results show that a large, uniformly illuminated region can be formed by means of a system of the indicated modules, located at the nodes of a rhombic grid. (C) 2011 Optical Society of America.

Magneto-optical properties of perforated heterostructure consisting of metallic grating on magnetic dielectric layer are investigated. Magneto-optical effect determined by the relative change in intensity of the transmitted or reflected light is explained in terms of waveguide TE-modes excited in magnetic layer. It is shown that considered structure with asymmetric grating also demonstrates Faraday magneto-optical effect.

A method for designing a curvilinear lens for focusing into a line is proposed. The obtained solutions represent a complex refracting surface in an analytical form expressed through the eikonal distribution along the line. The calcula-tion of a 3-D lens focusing into a line-segment is reduced to a simple design of cylindrical profile with required function of ray-correspondence. 1. Introduction Reference [1] reports studies of complex reflective surface aimed at focusing into a line of desired shape. The design of reflecting surfaces is based on a special type of ray-correspondence between points on the line of focusing and those on the reflecting surface and uses the Fermat’s principle for the surface reconstruction. In the present paper we use similar approach for designing refracting surfaces. The presented method extends the known design procedures to the design of complex lens focusing a spherical beam into a line. 2. Structure of a light field with a caustic line In this section we briefly consider the general properties of wavefront having a caustic in the form of a line L. Let the line L be given by the following paramet-ric equation:

A method for the design of perfectly conducting varied-depth binary diffraction gratings is proposed. The design uses the rigorous modal expansion method and is based on the gradient search algorithm for optimization of grating structure from the condition of the generation of a desired array of diffraction orders. The designs of varied-depth binary gratings with equal order intensities are reported with an efficiency of more than 90% and root-mean square errors of 2–7%.

A new method of calculation of binary-phase and quantized diffractive optical elements (DOEs) is proposed. The design uses a specific series expression for the quantized DOE transmission function and is based on the gradient search algorithm for the optimization of truncated series approaching the quantized complex transmission function. Fast designs of binary beam shapers and multiorder binary gratings with equal order intensities are reported with the efficiency in the range of 70-75% and the root-mean-square errors of 3-5%. The design of binary DOEs that transform the gaussian beam into Gauss-Hermite (0,1) and(1,1)complex amplited distributions is also presented.

A method for the design of perfectly conducting multiorder diffraction gratings is proposed. The design uses the Rayleigh method and is based on the gradient search algorithm for optimization of grating structure from the condition of the generation of a desired array of diffraction orders. The developed algorithm is more general and for d >> (lambda) , where d is the grating period and (lambda) is the wavelength of incident light, goes over into the familiar gradient algorithms for designing gratings in the Kirchhoff approximation. The designs of multiorder gratings with equal order intensities are reported with the efficiency of more than 90% and root-mean square errors of 2 - 7%.