We present the frequency-domain boundary element formulation for solving surface second-harmonic generation from nanoparticles of virtually arbitrary shape and material. use Rao-Wilton-Glisson basis functions Galerkin's testing, which leads to very accurate solutions both near far fields. This is verified by a comparison solution obtained via multipole expansion case spherical particle. The allows experimentally measured linear nonlinear material parameters or using ab-initio principles. As...

This paper presents a calibration method for consumer-grade accelerometers, gyroscopes, and magnetometers. Considering the of sensors, it is essential that no specialized equipment required to create reference signals. In addition, less from signals, more suitable on field. proposed method, novelty in gyroscopes lies exploitation only known net rotations between positions multi-position calibration. For accelerometers magnetometers, innovation direction gravity magnetic field Earth, are...

We present a rigorous full-wave electromagnetic approach to analyze the modes and resonances of dielectric plasmonic nanoparticles practically any geometry. Using boundary integral operators, we identify as inherent properties particles propose modal expansion for their optical response. show that resonance frequencies are isolated points on complex plane. The allows be analyzed without specifying an incident field, which can separately tailored desired interaction with modes. also connect...

In high-speed solid-rotor induction machines, space harmonics in the air gap flux density corresponding to stator slots typically cause significant losses on rotor surface. Since these slot rotate very fast with respect rotor, their skin depths are small. Loss estimates obtained by transient finite-element (FE) analysis may, therefore, require fine spatial and temporal discretization consequently long solution time. this paper, we derive a time-harmonic analytical model for multilayer...

We discuss how homology computation can be exploited in computational electromagnetism. represent various cellular mesh reduction techniques, which enable the of generators spaces an acceptable time. Furthermore, we show used for setting up and analysis electromagnetic boundary value problem. The aim is to provide a rationale modeling software.

Precise modeling of the magnetic field in coil wire an electric machine often becomes a major challenge: with high number turns and small penetration depth, degrees freedom exceeds reasonable limits any standard approximation method. approximation, however, is critical, e.g., to reliable loss estimation. Hence, there call for specialized approximative methods. This paper presents method time-harmonic computations 2-D problems. We replace by lattice polygonal plane fillers span...

Direct-on-line synchronous reluctance motors (DOLSynRM) combine the characteristics of induction motor (IM) and (SynRM). Saturation core materials, eddy currents, asymmetry rotor cage make it difficult to predict which kind loads can synchronize. In this paper, DOLSynRM start-up is analyzed with a magnetic field decomposition that makes possible quantify isolate forces between any two distinct parts an electric machine using time-stepping finite element (FE) solution. The results show...

This paper develops a systematic and formal approach to dimensional reduction of electromagnetic boundary value problems. The is based on the concept continuous symmetry, definitions mathematical structures used are conceptually distinct completely coordinate-free independent dimensions. leads sufficient conditions for when problem can be solved as lower-dimensional one it shows how systematically formulate symmetries described with Lie groups that products connected 1-D groups.

This paper is about finite element kind of modeling movement in electromechanical devices, especially rotating electrical machines. The presented approach relies on geometry and manifolds. With an appropriate choice charts, the spatial temporal discretizations become decoupled, which implies that mesh no longer restricts allowed time steps. However, standard basis functions elements are not always powerful enough to support large changes rotation angle, therefore case thin air gaps,...

Classical vector analysis is the predominant formalism used by engineers of computational electromagnetism, despite fact that manifold as a theoretical concept has existed for century. This paper discusses benefits manifolds over traditional approach in practical problems modelling. With structural approach, it outlines role and interdependence coordinate systems, metric, constitutive equations, fields, relates them to quasi-static electromagnetics: mesh generation, open-boundary problems,...

If an electromagnetic boundary value problem exhibits appropriate symmetry, it is possible to solve in a lower dimensional domain. We discuss symmetries general and particular show how reduction based on symmetry.

With heuristics, computational homology is able to extract the bases of spaces a domain covered with cellular mesh an acceptable efficiency. In this paper, methods for basis selection within modeling software are discussed. A good should be as clear and informative user possible indicate elements' relation boundary conditions.

The study of metal nanoparticles and metamaterials has increased the demand for accurate efficient numerical methods solving electromagnetic scattering problems. boundary element method, especially its Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation, received growing interest lately due to accuracy stability at plasmon resonance conditions. Consequently, this formulation been used model second-harmonic generation (SHG) in plasmonic nanoparticles, which is an area increasing...

We study systematical detection of the state variables for a quasi-static coupled circuit-field problem, which may consist several disjoint domains both field problems and electric networks. translate relevant questions about coupling into linear algebraic problems, i.e., use homology theory. This enables us to express variable problem with readily programmable computable concepts.

In numerical field analysis of steady states electrical machines, frequency-domain methods are often much faster than time-domain methods. Frequency-domain techniques involve simplifications that impact their accuracy on harmonic effects due to slotting, saturation, and time harmonics in winding currents. The nature these inaccuracies relationship air-gap is not well covered the literature. Correct prediction can be based careful use spectral Dirichlet-to-Neumann mappings generalized slip...

Manifolds offer a generalisation to the modelling procedure, where domain of an electromagnetic boundary value problem is subset particular coordinate system. First all, instead identifying points with coordinates, manifolds implement principle that coordinates are not canonical. Second, in deliberately bound by distances between they represent. Finally, manifold does need be coverable single system, but several. These basic properties make it possible choose system or systems alleviate mesh...

The spanning-tree technique is generalized to topologically nontrivial cases, obtain a general method for common topological problems. Tractability and elementary numerical approaches are addressed two examples presented.

Time-domain finite element methods (FEM) are widely used for numerical solution of boundary value problems (BVP) arising from rotating electrical machines. Typically, the equations corresponding to discretizations rotor and stator solved simultaneously every time step, together with that couple them during rotation. We present a method reformulating subproblems in time-domain BVPs into implicit Neumann conditions determined by spectral Dirichlet-to-Neumann mappings. Thus, FE reformulated...

This paper proposes a systematic approach to isolate and quantify electromagnetic forces torques between any two distinct parts of an electric motor. The is based on decomposition the magnetic field into components that are generated by different magnetized or current-carrying motor parts. Forces exerted can be computed using conventional force torque formulas. proposed applied squirrel-cage induction permanent magnet synchronous In these examples, fields decomposed according conductors,...

The term inertial navigation is often automatically associated with the initial value problem . However, there are many applications where it possible to end up a boundary (BVP) as well. We show that in case of BVP, finite element method incorporates conditions can be efficiently used compute position and velocity estimates not prone accumulation errors. For further accuracy enhancements, combining measurements additional constraints proposed. This way, we model sensor errors, known limit...

This study investigates the fusion of pole force measurement, inertial speed and video analysis to determine cross-country skiing performance in field conditions. As a proof concept, preliminary was performed with different grip designs double poling technique. The test showed that exploiting measurements, average could be determined for any number full cycles or separately each cycle, which may difficult other methods exploited measurements were appropriate determining key characteristics...

In this paper, we propose a formalization of contradicting source quantities and boundary values in quasi-static electromagnetic value problems (BVPs). The question is recast terms relative homology, procedure for systematic contradiction detection proposed

Purpose The paper addresses various ways of driving a magneto‐quasi‐static coupled field‐circuit problems, starting with the underlying assumptions this problem class. It focuses on consistency, supporting both conceptual understanding, and translation into software. Design/methodology/approach proceeds from precisely defined class analyze its consistency homology theory. Findings Precise notion “driving problem,” extensive discussion modeling decisions, classification analysis methods....

We consider attitude estimation of objects equipped with gyroscopes in situations where fixed-interval smoothing is possible. A new nonrecursive attitude-estimation method based on Tikhonov regularization proposed. The main benefit the flexibility, which allows one to exploit observations unknown accuracy involving an arbitrary number time instances. Such are essential especially sports applications, yet existing algorithms fail provide a way them.