Temporal Cavity Oscillations Caused by a Wide-Band Waveform

Tretyakov, Oleg A.; Erden, Fatih

doi:10.2528/pierb08031222

Cited by 30 publications

(21 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…one can obtain a system of ODEs for the mode amplitudes (known as evolutionary equations [12][13][14]). It can be written in a matrix form as follows:…”

Section: Closed-form Solution To the Problem By Mode Expansion In Timmentioning

confidence: 99%

See 1 more Smart Citation

Transient Electromagnetic Fields in a Cavity With Dispersive Double Negative Medium

Antyufeyeva¹,

Butrym²,

Tretyakov³

2009

PIER M

Self Cite

View full text Add to dashboard Cite

Abstract-Electromagnetic fields in a cavity filled with double negative dispersive medium and bounded by a closed perfectly conducting surface is studied in the Time Domain. The sought electromagnetic fields are found in a closed form by using decomposition over cavity modes and solving in TD the differential equations for the time varying mode amplitudes. Some features of frequency response of such an electromagnetic system are presented. Waveforms of electromagnetic fields excited by a wideband pulse are considered.

show abstract

“…one can obtain a system of ODEs for the mode amplitudes (known as evolutionary equations [12][13][14]). It can be written in a matrix form as follows:…”

Section: Closed-form Solution To the Problem By Mode Expansion In Timmentioning

confidence: 99%

“…Within the frame of Evolutionary Approach to Electromagnetics in TD [12][13][14] (Mode Expansion in TD) the sought electromagnetic fields E(r, t), H(r, t), dielectric polarization P(r, t), and magnetization M(r, t) are expanded into series in terms of cavity modes:…”

Section: Closed-form Solution To the Problem By Mode Expansion In Timmentioning

confidence: 99%

Transient Electromagnetic Fields in a Cavity With Dispersive Double Negative Medium

Antyufeyeva¹,

Butrym²,

Tretyakov³

2009

PIER M

Self Cite

View full text Add to dashboard Cite

show abstract

“…The background history of time-domain electromagnetics has been discussed in our previous publications: for a hollow cavity [2] and for a cavity filled with dispersive medium [3]. An elegant time-domain method relying on wave splitting technique and representing the propagation of transient electromagnetic waves in waveguides was performed earlier by Kristensson [4].…”

Section: Introductionmentioning

confidence: 99%

Study of the energetic field characteristics of the TE-modalwaves in waveguides

Erden¹

2017

Turk J Phys

Self Cite

View full text Add to dashboard Cite

Abstract:The energetic characteristics of cylindrical medium-free time-domain waveguide fields are solved within the framework of the evolutionary approach to electromagnetics. Solving the boundary-eigenvalue problem for transverse Laplacian yields a configurational basis in the waveguide cross section. Elements of the basis depend on transverse coordinates, whereas the modal amplitudes depend on the longitudinal coordinate, z, and time, t . Solving the resulted Klein-Gordon equation yields a basis for analysis of the modal amplitudes. Exact solutions for the amplitudes of TE-modes are obtained, and the energetic field characteristics are derived in accordance with the causality principle.

show abstract

“…To solve inner problems in time domain directly the Modal Basis Method was proposed by Tretyakov [7]. Using the method there was obtained the set of evolutionary equations that contain dependence of electrical and magnetic parameters of medium inside resonator on time in an explicit form rather than its Fourier Transform [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Evolution of Transient Electromagnetic Fields in Radially Inhomogeneous Nonstationary Medium

Dumin¹,

Katrich²

2010

PIER

View full text Add to dashboard Cite

Abstract-To solve radiation problems in time domain directly the modal representation of transient electromagnetic fields is considered. Using evolutionary approach the initial nonstationary threedimensional electrodynamic problem is transformed into the problem for one-dimensional evolutionary equations by the construction of the modal basis for electromagnetic fields with arbitrary time dependence in spherical coordinate system. Elimination of the radial components of electrical and magnetic field from Maxwell equation system permits to form the four-dimensional differential operators. It is proved that the operators are self-adjoint ones. The eigen-functions of the operators form the basis. The completeness of the basis is proved by means of Weyl Theorem about orthogonal detachments of Hilbert space. The expansion coefficients of arbitrary electromagnetic field are found from 404Dumin, Dumina, and Katrich the set of evolutionary equations. The transient electromagnetic field can be found directly without Fourier transform application by means of one-dimensional FDTD method for the medium with dependence on longitudinal coordinate and time or using Laplace transform and wave splitting for the case of homogeneous stationary medium. The above mentioned methods are compared with the three-dimensional FDTD method for the case of the problem of small loop excitation by transient current.

show abstract

Temporal Cavity Oscillations Caused by a Wide-Band Waveform

Cited by 30 publications

References 10 publications

Transient Electromagnetic Fields in a Cavity With Dispersive Double Negative Medium

Transient Electromagnetic Fields in a Cavity With Dispersive Double Negative Medium

Study of the energetic field characteristics of the TE-modalwaves in waveguides

Evolution of Transient Electromagnetic Fields in Radially Inhomogeneous Nonstationary Medium

Contact Info

Product

Resources

About