Time Domain Efie and Mfie Formulations for Analysis of Transient Electromagnetic Scattering From 3-D Dielectric Objects

Jung, Baek Ho; Sarkar, Tapan K.; Salazar-Palma, M.

doi:10.2528/pier04022304

Cited by 22 publications

(12 citation statements)

References 26 publications

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“…By solving this matrix Equation (22) recursively in a MOD manner and using (10), the electric field is expressed as…”

Section: Formulationmentioning

confidence: 99%

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Solving Time Domain Helmholtz Wave Equation With Mod-FDM

Jung¹,

Sarkar²

2008

PIER

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Abstract-In this work, we present a marching-on in degree finite difference method (MOD-FDM) to solve the time domain Helmholtz wave equation. This formulation includes electric and magnetic current densities that are expressed in terms of the incident field for scattering problems for an open region to implement a plane wave excitation. The unknown time domain functional variations for the electric field are approximated by an orthogonal basis function set that is derived using the Laguerre polynomials. These temporal basis functions are also used to expand current densities. With the representation of the derivatives of the time domain variable in an analytic form, all the time derivatives of the field and current density can be handled analytically. By applying a temporal testing procedure, we get a matrix equation that is solved in a marching-on in degree technique as the degree of the temporal basis functions is increased. Numerical results computed using the proposed formulation are presented and compared with the solutions of the conventional time domain finite difference method (TD-FDM) and analytic solutions.

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“…By solving this matrix Equation (22) recursively in a MOD manner and using (10), the electric field is expressed as…”

Section: Formulationmentioning

confidence: 99%

“…This is in contrast to the conventional FDTD analysis. The MOD-FDM methodology has been successfully implemented in time domain integral equations [9][10][11], and time domain finite element method [12]. Based on this scheme [8], various works have been published [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Solving Time Domain Helmholtz Wave Equation With Mod-FDM

Jung¹,

Sarkar²

2008

PIER

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“…The MOD scheme with Laguerre basis functions was proposed to obtain an unconditionally stable solution in integral equations [9][10][11][12][13][14]. This methodology also has been successfully implemented for the FDTD method [15].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Transient Electromagnetic Scattering With Plane Wave Incidence Using Mod-FDM

Jung¹,

Sarkar²

2007

PIER

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Abstract-Recently, a marching-on in degree finite difference method (MOD-FDM) was employed in the finite-difference time-domain (FDTD) formulation to obtain unconditionally stable transient responses. The objective of this work is to implement a plane wave excitation in the MOD-FDM formulation for scattering problems for an open region. This formulation has volume electric and magnetic current densities related to the incident field in Maxwell's equations explicitly. Numerical results computed by the proposed formulation are presented and compared with the solutions of the conventional FDTD method.

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“…Many elaborator numerical methods can be applied in DR filter design such as mode-matching [7], finite-element [8], boundary element [9], transmission line [10], finite-difference time domain and finite difference frequency domain [11][12][13][14][15]. A three dimensional non orthogonal FDTD method has been proposed in [17].…”

Section: Introductionmentioning

confidence: 99%

A Novel and Accurate Method for Designing Dielectric Resonator Filter

Saliminejad¹,

Fard²

2008

PIER B

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Abstract-The Development of numerical techniques enables us toanalyze a large number of complex structures such as dielectric resonator (DR) filters and planar passive elements for coplanar monolithic microwave integrated circuits.As for DR filters, numerical analysis of these structure is highly intricate mostly because of their non-homogenous composition (dielectric constant of DR is greater than 80, dielectric constant of the maintainer is less than 2 and dielectric constant of the atmosphere is 1). Hence, numerical analysis of such a structure, either in time domain (TLM, FDTD and . . . ) or frequency domain (FE, moment, mode matching, boundary element, FD and . . . ) is both complex and time-consuming. From one hand, the non-homogenous structure and from the other hand, the high frequency of applications, demand high density meshing in order to achieve accurate response [1][2][3].The explained method in this paper enables us to design a Chebyshev band passes filter by coaxially placing high-Q TM 01δ dielectric resonators in a cutoff circular waveguide. In the presented work, discussions are made regarding high-Q resonators and interresonator coupling. It can be used for TE and TM modes of dielectric resonators. The advantages of such a method are simplicity and accuracy. Furthermore, this method is very quick in calculating resonant frequencies of a single dielectric resonator and coupling factor between two dielectric resonators. Compared with HFSS software, the total required time in this method is less than 1 percent. 294 Saliminejad and GhafourifardBased on the presented method, a DR filter is designed, implemented and fabricated and the results are provided. The fabricated filter has an exclusive feature, i.e., it contains no screw for frequency tuning and it gives out the desired result without a need to modification.

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Time Domain Efie and Mfie Formulations for Analysis of Transient Electromagnetic Scattering From 3-D Dielectric Objects

Cited by 22 publications

References 26 publications

Solving Time Domain Helmholtz Wave Equation With Mod-FDM

Solving Time Domain Helmholtz Wave Equation With Mod-FDM

Analysis of Transient Electromagnetic Scattering With Plane Wave Incidence Using Mod-FDM

A Novel and Accurate Method for Designing Dielectric Resonator Filter

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