Singular Integral Equations’ Methods for the Analysis of Microwave Structures

Shugurov, Victor; Nickelson, L.; Nickelson, Thomas E.

doi:10.1515/9783110941968

Cited by 10 publications

(13 citation statements)

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“…We should notice that the electric field distribution of the main slow mode depicted in Fig. 5 is rotated by 90 degrees respectively to the electric field distribution of the main mode propagating in an analogical waveguide made of lossless material with the permittivity equal to 11 [3].…”

Section: Numerical Resultsmentioning

confidence: 98%

Electric Field Distributions in the Open Cylindrical Silicon Carbide Waveguides

2009

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Section: Numerical Resultsmentioning

confidence: 98%

Electric Field Distributions in the Open Cylindrical Silicon Carbide Waveguides

2009

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“…The solution to Maxwell's equations is constructed as a superposition of hybrid quasi-E and quasi-H waves. The solution of the problem for isotropic heart model, are given in [5,6]: In order to establish scattering microwave on the anisotropic medium we are also utilized the concept of the point electrical and magnetic sources. Anisotropic medium is described by the components of tensor ˆ1 xx yy zz ε = diag ε ,ε ,ε .…”

Section: Sil Methods For Microwave Field Analysesmentioning

confidence: 99%

Pulse-modulated microwaves propagation inside of a 3D non-coordinate shape heart model

Nickelson¹,

Ašmontas²,

Martavičius

et al. 2009

2009 IEEE Pulsed Power Conference

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As soon as human increased usage of different radio transmitters and everybody can use cell phones, GPS, wireless internet, Bluetooth and similar to them systems started interesting topic -how does different kind of high frequency modulated signals can affect biological systems and human live vital organs [1,2]. In article [3] the influence of the continuous and pulsed microwaves at 2.45 GHz on different parts of human and animal body were analysed. The tissue of a heart, in the normal state possesses anisotropic properties; however, the anisotropy of heart tissue grows with some illnesses [4]. We investigated earlier only the isotropic heart models [5-7].Here we present the analysis of the anisotropic heart model.The electrodynamical rigorous solution of Maxwell's equations related to the microwave pulse propagation inside a three-dimension heart model with anisotropic and isotropic media is presented here. The model heart was limited by a non-coordinate shape surface and it consisted of two different size cavities. The heart cavities were schematic images of the left and right atriums and ventricles ( Figure 1). The myocardium tissue media is an anisotropic lossy medium and blood is an isotropic lossy medium. The boundary problem was solved by using the singular integral equations' (SIE) method. The distributions of electric field for the anisotropic and isotropic heart models are compared here.

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“…In order to establish scattering microwave on the anisotropic medium we are also utilized the concept of the point electrical and magnetic sources [5]. Anisotropic medium is described by the components of the tensorε…”

Section: The Expression Of the Microwave Electric Field In The Anisotmentioning

confidence: 99%

“…An electrodynamical analysis of the diffraction problem relating to scattering of the pulsemodulated microwave on the anisotropic heart model is given in this article. We solve this problem, using the SIE method [5]. In our case the model of heart contains both isotropic and anisotropic area.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Pulse-Modulated Microwave Propagation into 3D Anisotropic Heart Model by SIE Method

Nickelson¹,

Ašmontas²,

Martavičius³

et al. 2009

PIERS Online

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Here we present the electrodynamical analyses of microwave pulses propagation in a 3D anisotropic heart model for the first time. The electrodynamical rigorous solution of Maxwell's equations related to the microwave pulse propagation in the 3D heart model with anisotropic and isotropic media is presented here. The myocardium tissue media is an anisotropic lossy media and blood is an isotropic lossy media. The boundary problem was solved by using the singular integral equations' (SIE) method. Our solution, obtained by the SIE method, is electrodynamically rigorous. The false roots do not appear and the boundary conditions have to be satisfied only on the surfaces dividing different materials. The frequency of the carrier microwave is 2.45 GHz. The modulating signals are triangular video pulses with the on-off time ratio equal to 5 and 100. The pulse durations were always equal to 20 µs. Microwave electric field distributions were analysed at three longitudinal cross-sections of the heart model. The distributions of electric field for the anisotropic and isotropic heart models are compared here.

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Singular Integral Equations’ Methods for the Analysis of Microwave Structures

Cited by 10 publications

References 0 publications

Electric Field Distributions in the Open Cylindrical Silicon Carbide Waveguides

Electric Field Distributions in the Open Cylindrical Silicon Carbide Waveguides

Pulse-modulated microwaves propagation inside of a 3D non-coordinate shape heart model

Analysis of the Pulse-Modulated Microwave Propagation into 3D Anisotropic Heart Model by SIE Method

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