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38 results about "Conformal map" patented technology

In mathematics, a conformal map is a function that locally preserves orientation and angles. More formally, let U and V be open subsets of ℝⁿ. A function f:U→V is called conformal (or angle-preserving) at a point u₀∈U if it preserves angles between directed curves through u₀, as well as preserving orientation (i.e. mapping a tangent basis to a basis of the same orientation). Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature.

A fast simulation modeling method based on ACA-MLFMA accelerated domain decomposition non-conformal mesh

PendingCN109376485AImprove the ability to solve electromagnetic field characteristicsImprove the efficiency of electromagnetic field solutionDesign optimisation/simulationSpecial data processing applicationsFormation matrixSecondary radiation
ACA based-MLFMA-accelerated fast simulation modeling method for domain decomposition non-conformal mesh comprises the following steps: S1, according to the structure and material characteristics of the target, the target is divided into regions, and discretizing then the mesh on each different region, and separately dividing the mesh between adjacent regions to form non-conformal mesh; S2, separating the mesh between adjacent regions to form non-conformal mesh; S2, selecting appropriate basis function to simulate local electromagnetic current, and using integral equation operator to form matrix equation; S3, using ACA-MFLMA algorithm compresses the matrix equation and iterates quickly to accelerate the solution of the matrix equation, obtains the position induction coefficients of the local electromagnetic current, and then obtains the distribution of the induced electromagnetic current on the target. S4, taking the induced electromagnetic current as the secondary radiation source, theelectromagnetic field distribution in the near region and the scattering characteristics of the far field are calculated, and the electromagnetic field response characteristics of the target are analyzed. The advantages of the method are that it makes full use of the advantages of ACA and MLFMA, and greatly improves the capability of solving the engineering electromagnetic field characteristics.
Owner:SHANGHAI RADIO EQUIP RES INST

Quick analysis method of electric performance of conformal load-bearing array antenna under dynamic load

The invention relates to a quick analysis method of the electric performance of a conformal load-bearing array antenna under a dynamic load. The quick analysis method comprises the following steps of: (1) establishing a structural finite element model; (2) extracting the central position coordinate rn of an array antenna unit; (3) loading a position constraint to the finite element model, and extracting each-order frequency [Omega]i and a mode-of-vibration vector after modal analysis is carried out; (4) expressing the dynamic structure deformation of an antenna array as [Delta]r([Beta], t)=Pq(t); (5) extracting the central position offset amount of the antenna unit; (6) substituting the central position coordinate rn of the antenna unit and the central position offset amount [Delta]rn([Beta, t]) of the antenna unit into the far-field pattern computational formula of the conformal load-bearing array antenna, and obtaining a relational expression which expresses the influence of the structure deformation on the far-field pattern of the antenna under the dynamic load; and (7) carrying out taylor expansion on an exponential term exp(jk.[Delta rn]([Beta, t])) in the relational expression, taking first three orders, and writing the far-field pattern of the antenna into a form of the linear combination of the structure relevant item and the load relevant item of the antenna.
Owner:JIANGSU LIANHAI COMM

Exponential mapping-based design method of retro-reflective optical invisibility cloak

The invention discloses an exponential mapping-based design method of a retro-reflective optical invisibility cloak. Firstly, a two-dimensional x-y plane coordinate system is established, and conformal mapping is carried out on coordinates in a range of which a radius is R2; a plane wave is emitted in parallel from an x-axial negative direction to an x-axial positive direction; linear mapping under polar coordinates is carried out on a second quadrant and a third quadrant of the coordinate system, where the invisibility cloak is located, to enable the radius range to be mapped to R1-R2 from 0-R2; a first quadrant of the coordinate system is mapped, and a fourth quadrant of the coordinate system is mapped; then a metric tensor of deformed space and a dielectric tensor and a permeability tensor of an impedance matching medium provided by transformation optics are calculated according to the impedance matching medium and equivalent relationships of space geometry; and finally, a Z component in the permeability tensor is normalized, and an artificial metamaterial is selected and used according to dielectric tensor distribution and permeability distribution to manufacture the optical invisibility cloak. The method solves problems of invisibility for objects and extraction of information of retro-reflection behind the objects.
Owner:NANJING UNIV OF SCI & TECH

Electromechanical comprehensive analysis method for conformal load-bearing antenna

The invention discloses an electromechanical comprehensive analysis method for a conformal load-bearing antenna. The method comprises the steps of 1, obtaining surface test data of the conformal load-bearing antenna; 2, building an error information mathematic model in MATLAB; 3, importing the error information mathematic model in CAD to generate a three-dimensional polygonal curved surface grid model; 4, obtaining an error structure model in a *.igs format through polygonal grid-grid-curved surface-entity four-step conversion; 5, building an ideal antenna electromagnetic analysis model, and importing the error structure model to obtain an antenna electromagnetic analysis model; and 6, according to the antenna electromagnetic analysis model, calculating electric performance parameters of the antenna, and if calculation precision requirements are met, finishing calculation, otherwise, repeating the steps 1-6 until the requirements are met. The method has the benefits that (1) the problem of separation of structure analysis and electromagnetic analysis of a planar slot antenna is effectively solved; (2) the modeling cycle of a whole complex antenna is shortened; and (3) the problem of mismatch between structure grids and electromagnetic grids of the conformal load-bearing antenna is effectively solved.
Owner:XIDIAN UNIV

Three-dimensional model deformation algorithm based on quasi-conformal mapping

ActiveCN110176079AKeep Local Feature MapsMultiple local detailsDigital data information retrievalImage data processingAnimationGeometric modeling
The invention belongs to the field of computer vision, and discloses a three-dimensional model deformation algorithm based on quasi-conformal mapping. The method comprises the following steps of firstly, parameterizing a three-dimensional model to a two-dimensional plane disc by utilizing the quasi-conformal mapping, secondly, adopting a quasi-common iterative algorithm to calculate the mapping between the two planes, and obtaining a deformed two-dimensional model, and finally, restoring the deformed two-dimensional model into a three-dimensional model meeting constraint conditions as much aspossible by adopting a 2D-to-3D model restoration algorithm. According to the present invention, the problems that an existing model is low in utilization rate, the number of control points needing tobe operated by a deformation algorithm is large, the model processing effect on skeletons is poor, the differential coordinate deformation technology is sensitive to rotation, and the direct deformation on a three-dimensional model is difficult, are solved. Compared with a traditional mapping method, the method is simple, and keeps more local details of the source mode. The method is suitable forthe three-dimensional model deformation based on a single image, and is suitable for the deformation of a model with any boundary. The method can be applied to the fields of animation, cosmetic surgery, medicine, geometric modeling and the like.
Owner:ZHONGBEI UNIV
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