Numerical Analysis of Transient Processes: Fundamental Results of the Theory, Methods, and Problems

Sirenko, Yurii Konstantinovich; Yashina, Nataliya P.; Ström, Staffan

doi:10.1007/0-387-32577-8_1

Cited by 4 publications

(32 citation statements)

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“…T E 0n and T M 0n waves propagating in the axially symmetric waveguide unit and radiating to the outside satisfy [14,15]: Figure 1. Geometry of the model problems: (a) a waveguide cavity resonator fed and terminated by coaxial waveguides; (b) a parabolic radiator with elliptical subreflector and infinite flange.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…If all the requirements of one-valued solvability of the problem (1) in Sobolev space are met [14,26], then under the aforesaid conditions, the solution of (1) in I can be written as a sum of incident and scattered fields:…”

Section: Separation Of Variables and Mode Expansion Of The Solution Imentioning

confidence: 99%

“…The computation domain is truncated using the EACs derived from the radiation conditions for the outgoing modes' spatio-temporal amplitudes [14,15]. The nonlocal EACs on the planar boundaries located inside the waveguides are localized without the loss of mathematical exactness.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the same FFT-based acceleration method is used for computing the convolutions of nonlocal EACs enforced on spherical boundaries, which are located external to the structures only on their radiating ends. To briefly summarize, the contributions of this paper are threefold: (i) A detailed derivation of the (planar and spherical) EACs for axially symmetric waveguide and radiating structures, which follows the approach developed in [14,15], is presented. (ii) Implementation and discretization of these (local and nonlocal) EACs in an FDTD method are discussed.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted here that the proposed method allows the transient analysis to be carried for long time intervals and can provide highly accurate and reliable numerical data pertinent to physical processes under resonant conditions [14,[23][24][25]. The proposed method is especially useful for accurate analysis of long-duration processes in resonant radiators and energy compressors with different types of storage units (e.g., waveguide and open resonators with metal, semitransparent, and frequency-selective mirrors) and switches (e.g., distributed grating-type switches, interference and resonant switches).…”

Section: Introductionmentioning

confidence: 99%

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An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

Sirenko¹,

Pazynin²,

Sirenko

et al. 2011

PIER

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Abstract-An accurate and efficient finite-difference time-domain (FDTD) method for characterizing transient waves interactions on axially symmetric structures is presented. The method achieves its accuracy and efficiency by employing localized and/or fast Fourier transform (FFT) accelerated exact absorbing conditions (EACs). The paper details the derivation of the EACs, discusses their implementation and discretization in an FDTD method, and proposes utilization of a blocked-FFT based algorithm for accelerating the computation of temporal convolutions present in nonlocal EACs. The proposed method allows transient analyses to be carried for long time intervals without any loss of accuracy and provides reliable numerical data pertinent to physical processes under resonant conditions. This renders the method highly useful in characterization of high-Q microwave radiators and energy compressors. Numerical results that demonstrate the accuracy and efficiency of the method are presented.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Separation Of Variables and Mode Expansion Of The Solution Imentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

Sirenko¹,

Pazynin²,

Sirenko

et al. 2011

PIER

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Microwave dielectrometry as a tool for the characterization of blood cell membrane activity for in vitro diagnostics

Arkhypova

Krasov

Fisun

et al. 2017

Int. J. Microw. Wireless Technol.

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This paper deals with the concept of microliter sensing of human blood samples by waveguide dielectrometry at microwave frequency (39.5 GHz). The methods, research protocol, and basic results derived from the permittivity measurements are presented. Here we summarize the results of our 5-year research on developing a multidisciplinary approach to the characterization of erythrocytes dielectric response, in parallel with biochemical studies of their receptor-membrane activity, within the scope of a case–control study for in vitro diagnostics of acute and chronic neurological conditions.

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Controlled Changes in Spectra of Open Quasi-Optical Resonators

Velychko¹,

Sirenko²

2009

PIER B

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Numerical Analysis of Transient Processes: Fundamental Results of the Theory, Methods, and Problems

Cited by 4 publications

References 0 publications

An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

Microwave dielectrometry as a tool for the characterization of blood cell membrane activity for in vitro diagnostics

Controlled Changes in Spectra of Open Quasi-Optical Resonators

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