Time-Domain Analysis of Open Resonators. Analytical Grounds.

Velychko, L. G.; Sirenko, Yurii Konstantinovich; Величко, Олена Михайлівна

doi:10.2528/pier06020701

Cited by 29 publications

(23 citation statements)

References 19 publications

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“…The processing errors of the designed QOBR are also considered. Similar to the practical applications of a quasi-optical open resonator sustaining Gaussian modes [31][32][33][34][35][36][37][38], we believe that the designed QOBR, besides the production of Bessel-type modes, have many promising applications in millimeter range, such as frequency measurement, spectrum analysis, transmission characteristic research, power combination, and dielectric parameter measurement. Therefore, the study of the QOBR in these spectrum ranges has important practical significance.…”

Section: Discussionmentioning

confidence: 91%

Quasi-Optical Bessel Resonator

Yu¹,

Dou²

2009

PIER

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Abstract-In this paper, a quasi-optical Bessel resonator (QOBR) for generating approximations to Bessel-type modes at millimeter wavelengths has been designed and analyzed. A design approach is based on the quasi-optical techniques. In order to analyze the designed QOBR rigorously, a new method based on iterative StrattonChu formula (ISCF) is developed from the classical Fox-Li algorithm and its validity is demonstrated. Numerical results reveal that at the output plane the intensity distributions of the Bessel-type modes of the designed QOBR are modulated by a bell-shaped envelope, and their phase patterns have a block-shaped profile except slight distortion on the edges of the output plane due to aperture diffraction. The effect of varying the parameters of the designed QOBR on the relevant output characteristics is also examined in our study.

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Section: Discussionmentioning

confidence: 91%

Quasi-Optical Bessel Resonator

Yu¹,

Dou²

2009

PIER

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“…8(a)). The amplitude of free-oscillating field U (g 1 , t) decreases with time t as exp(−t|Imk|), so the value of |Imk| and, thus the Q-factor, can be found (see [30][31][32] for methodology). For the combined compressor/radiator element considered here, Imk = −0.095 and the Q-factor (see (13) in Part I) is Q ≈ 1225.8.…”

Section: Combined Compressor/radiator Array Elementsmentioning

confidence: 99%

Compression and Radiation of High-Power Short Rf Pulses. Ii. A Novel Antenna Array Design With Combined Compressor/Radiator Elements

Sirenko

Pazynin²,

Sirenko³

et al. 2011

PIER

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Abstract-The paper discusses the radiation of compressed high power short RF pulses using two different types of antennas: (i) A simple monopole antenna and (ii) a novel array design, where each of the elements is constructed by combining a compressor and a radiator. The studies on the monopole antenna demonstrate the possibility of a high power short RF pulse's efficient radiation even using simple antennas. The studies on the novel array design demonstrate that a reduced size array with lower pulse distortion and power decay can be constructed by assembling the array from elements each of which integrates a compressor and a radiator. This design idea can be used with any type of antenna array; in this work it is applied to a phased array.

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“…Indeed, proceeding from (24) to the generalized Cauchy problem [27] and using the fundamental solution G(λ, t) = χ(t)λ −1 sin λt of the operator D(λ) ≡ ∂ 2 t + λ 2 (see [14]), it becomes clear that both (20) and (24) define the same function w n1 (t, ϕ). From the equation in (4), it follows that w n1 (t, ϕ), µ n1 (ρ), and , ϕ)) .…”

Section: Exact Absorbing Conditions For Waveguide Units and Their Locmentioning

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%

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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Time-Domain Analysis of Open Resonators. Analytical Grounds.

Abstract: Abstract-The paper is concerned with the development and mathematical justification of the methodology for applying the timedomain methods in the study of spectral characteristics of open electrodynamic resonant structures.

Cited by 29 publications

References 19 publications

Quasi-Optical Bessel Resonator

Quasi-Optical Bessel Resonator

Compression and Radiation of High-Power Short Rf Pulses. Ii. A Novel Antenna Array Design With Combined Compressor/Radiator Elements

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

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