The homogenization of the Maxwell equations at fixed frequency is addressed in this paper. bulk (homogenized) electric and magnetic properties a material with periodic microstructure are found from solution local problem on unit cell by suitable averages. can be anisotropic satisfies coercivity condition. exciting field generated an incident sources outside under investigation. A sesquilinear form defined for interior problem, exterior Calderón operator used to solve radiating fields....

Using Bloch waves to represent the full solution of Maxwell's equations in periodic media, we study limit where material's period becomes much smaller than wavelength. It is seen that for steady state fields, only a few contribute solution. Effective material parameters can be explicitly represented terms dyadic products mean values nonvanishing waves, providing new means homogenization. The representation valid an arbitrary wave vector first Brillouin zone.

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> In this paper, we have investigated the design parameters for efficient stirring in reverberation chambers. We measured efficiency of stirrer terms lowest possible frequency which it gives a certain number uncorrelated samples. Rotating stirrers, when rotated about their axes, generate cylindrical volumes. The impact change diameter is approximately cubic compared with height. stirrers that are...

We demonstrate how the problem of finding effective property quasiperiodic constitutive relations can be simplified to periodic homogenization setting by transforming original material structure a heterogeneous in higher dimensional space. The characterization two‐scale cut‐and‐projection convergence limits partial differential operators is presented. Copyright © 2017 John Wiley &amp; Sons, Ltd.

It is often claimed that it the volume swept by stirrers in relation to reverberation chamber of importance for efficiency stirrers. The impact a change stirrer diameter however approximately cubic compared with height. In this paper shown mainly periphery contribute tuning chambers.

A two-scale Fourier transform for periodic homogenization in space is introduced. The connects the various existing techniques homogenization, i.e., convergence, unfolding and Floquet– Bloch expansion approach to homogenization. It turns out that compactness results are easily obtained by use of transform. Moreover, Floquet–Bloch eigenvalue problems differential operators recovered a natural straight forward way this generalized (N + 1)-scale case.

The viscous Moore-Greitzer equation modeling the airflow through compression system in turbomachines, such as a jet engine, is derived using scaled Navier-Stokes equation. method utilizes separation of scale argument based on different spatial scales engine and time flow. pitch size rotor-stator pair blades provides small parameter, which local cell. motion stator rotor compressor produces very turbulent flow fast scale. leading order equation, for scales, describes this next equations...

The maximum over mean distribution of received power in the FOI reverberation chamber is analyzed. experimental results are compared with theoretical for a chi squared distributed power. For confidence intervals given as functions number independent measurements values. minimum required samples to obtain an acceptable estimate discussed. It turns out that should be at least greater than 20. Further relation between statistical independence and linear correlation coefficients measured data...

We present a destructive testing procedure based on absorption cross section (ACS) measurements defined by the recorded power in reverberation chamber (RC). Destructive of light-emitting diodes (LED) are performed at frequencies with maximum ratio (ACSR) and lower ACSR. The failure outcome scales expected value distribution as function number uncorrelated samples RC. required to break ACSR is consistent theory. statistical composite modelled generalized beta prime distribution.

In this paper we demonstrate how so-called polynomial chaos expansions can be used to create efficient algorithms for uncertainty quantification in some classes of problems related wave propagation stochastic environment. We provide an example from telecommunication.

We have investigated the design parameters for stirrers in reverberation chambers. The efficiency of a stirrer is defined as lowest possible frequency which gives certain number uncorrelated samples. Rotating generates cylindrical volumes when rotated about its axis. impact change diameter cubic compared with height. Another principle stirring to translate along fixed direction space. translated proportional stepping increment and square root area projection on plane orthogonal translation.

We have measured the electromagnetic absorption in reverberation chambers for two RFID tags. This is done to find frequencies at which they may be vulnerable high power microwaves. compare expressions cross section investigated system, and corresponding ratio. It turns out that it enough investigate relative change ensemble average of recorded chamber relevant frequencies.

Abstract This paper deals with the exterior Calderón operator for not necessarily spherical domains. We present a new approach of finding norm wide class surfaces. The basic tool in treatment is set eigenfunctions and eigenvalues to Laplace–Beltrami surface. obtained view an eigenvalue problem quadratic form containing operator. connection transition matrix perfectly conducting surface analyzed.

Schemes for probing immunity of electronic devices against high power electromagnetics have been developed and refined over the years. Several test environments are available, some not yet fully acknowledged in standard documents or laboratory practice. In order to further their development facilitate exchange across laboratories methods, a new reference setup representing modern, generic IT system has designed. A comparison between failure modes levels under two different testing schemes is...

We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how precisely depend character of domain. pay special attention to trace operators and extension over certain Sobolev spaces. Finally, we provide weak formulation interior scattering problem terms exterior Calderón operator explicit bounds solution incident fields

Abstract We explore the relationship between rough surface conductors and phenomenon of passive intermodulation. The underlying is taken to be boundary a Lipschitz domain, characteristic angle domain used track dependence on various fields. To model electro‐thermal intermodulation in particular, we consider specific type temperature‐dependent conductivity determine conditions under which one can use fixed point arguments solve an induction heating Joule problem domain. In latter problem,...