126 results about "Conservation law" patented technology

A design process first determines a desired aperture distribution, then converts the electric power conservation law, Snell's law on the rear face side of a dielectric lens, and the formula representing light-path-length constraint, into simultaneous equations, and computes the shapes of the surface and rear face of the dielectric lens depending on the azimuthal angle θ of a primary ray from the focal point of the dielectric lens to the rear face of the dielectric lens, and then reduces the light path length in the formula showing light-path-length constraint by an integral multiple of the wavelength when the coordinates on the surface of the dielectric lens reach a predetermined restriction thickness position. A dielectric lens is designed by sequentially changing the lazimuthal angle θ from its initial value, and also repeating the second and third steps. Thus, downsizing and quantification is realized by zoning while keeping antenna properties at the time of constituting a dielectric lens antenna in a good condition.

A general, computational-mathematical modeling method for the solution of large, boundary-coupled transport problems involving the flow of mass, momentum, energy or subatomic particles is disclosed. The method employs a modeling processor that extracts a matrix operator equation (or set of equations) from a numerical transport code (NTC). The outputs of software codes, available for modeling physical problems governed by conservation laws in the form of differential equations, can be processed into closed-form operator equations with the method. Included is a numerical transport code functionalization (NTCF) model which can be determined numerically, based on a system of solutions of an NTC, evaluating outputs for a given set of inputs. The NTCF model is a linear or nonlinear, multi-variable operator equation or set of such equations. The NTCF model defines relationships between general, time-variable inputs and outputs, some known and some unknown, considered as boundary values. The user of an NTCF model can directly work with the processed model output, instead of running the original numerical code in general applications of a boundary-value problem. The numerical transport code functionalization model can be employed as a surrogate for representing the numerical transport code to provide a solution to the transport problem. The invention enables modeling efficiency and availability to be increased, while computational complexity and cost decreased. Computational times for complex modeling problems can, in some cases, be dramatially reduced, for example by several orders of magnitude.