The Capacitance Thin-slot Formalism Revisited: An Alternative Expression for the Thin-Slot Penetration

Xiong, Ranhua; Chen, B.; Mao, Yan; Yang, Yun

doi:10.1163/156939312800030622

Cited by 4 publications

(3 citation statements)

References 19 publications

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“…(22) is identically zero in the conductor areas, because it is an E-field tangent to a conducting surface. Considering the dramatically varying distribution of the field component H z at the end cell of the slot [26], the updating equation for H z derived from (22) can be written as…”

Section: Updating Equations For the Aperture Couplingmentioning

confidence: 99%

A Simple Local Approximation FDTD Model of Short Apertures With a Finite Thickness

Xiong¹,

Chen²,

Mao³

et al. 2012

PIER

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Abstract-This paper brings forward a simple local approximation finite-difference time-domain (FDTD) method for the analysis of short apertures with a finite thickness. By applying the equivalence principle together with a simple local approximation, the varying field distribution is accurately derived. The updating equations for the slot field can be derived by casting the field distributions into the contour paths containing the apertures. The method has been applied to two problems and the results are compared with the high-resolution standard FDTD simulation results and the measurement results. The accuracy of the proposed method is verified from the comparison of both the field distribution and the time-domain and frequency-domain slot coupling results. It is demonstrated that the local approximation is highly efficient and timesaving, and the present method is stable, numerically and computationally efficient.

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Section: Updating Equations For the Aperture Couplingmentioning

confidence: 99%

A Simple Local Approximation FDTD Model of Short Apertures With a Finite Thickness

Xiong¹,

Chen²,

Mao³

et al. 2012

PIER

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“…A number of numerical methods have been developed for the simulation of periodic structures in both frequency and time domains [5,6]. The finite-difference time-domain (FDTD) method is frequently used to analyze periodic structures for it is a transient technique and efficient for wideband applications [7][8][9][10][11][12][13][14][15]. However, FDTD method has two limitations to simulate incident wave on periodic structures.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Implicit-Explicit Spectral FDTD Scheme for Oblique Incidence Problems on Periodic Structures

Mao¹,

Chen²,

Liu³

et al. 2012

PIER

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Abstract-This paper combines a hybrid implicit-explicit (HIE) method with spectral finite-difference time-domain (SFDTD) method for solving periodic structures at oblique incidence, resulting in a HIE-SFDTD method. The new method has the advantages of both HIE-FDTD and SFDTD methods, not only making the stability condition weaker, but also solving the oblique incident wave on periodic structures. Because the stability condition is determined only by two space discretizations in this method, it is extremely useful for periodic problems with very fine structures in one direction. The method replaces the conventional single-angle incident wave with a constant transverse wave-number (CTW) wave, so the fields have no delay in the transverse plane, as a result, the periodic boundary condition (PBC) can be implemented easily for both normal and oblique incident waves. Compared with the ADI-SFDTD method it only needs to solve two untridiagonal matrices when the PBC is applied to, other four equations can be updated directly, while four untridiagonal matrices, two tridiagonal matrices, and six explicit equations should be solved in the ADI-SFDTD method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed algorithm. Results show the new algorithm has better accuracy and higher efficiency than that of the ADI-SFDTD method, especially for large time step sizes. The CPU running time for this method can be reduced to about 45% of the ADI-SFDTD method.

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“…Several TSFs have been proposed in the literature [16][17][18][19][20]. However, when the aperture depth is involved, only the hybrid thin-slot algorithm (HTSA) can be useful [18].…”

Section: Introductionmentioning

confidence: 99%

Thin-slot formalism for the FDTD analysis of narrow apertures having depth

Xiong¹,

Chen

Mao

et al. 2012

Journal of Electromagnetic Waves and Applications

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A new thin-slot formalism is presented for the finite-difference time-domain (FDTD) analysis of the coupling of narrow apertures having depth. To derive the formalism, the equivalence principle is used to divide the slot coupling problem into three decoupled parts. The field distribution near the aperture is gained from the equivalent magnetic current together with a constant field distribution assumption. By incorporating the field distribution into the Ampere's law and Faraday's Law, the updated equations are derived to modify the electromagnetic field components near the apertures. Two numerical examples are adopted to verify the validity of the proposed formalism, and both the high-resolution standard FDTD results and FEKO (FEldberechnung Bei Körpern mit beliebiger Oberfläche) result are presented as references. The proposed formalism is verified to be a stable and accurate model for thin-slot coupling.

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The Capacitance Thin-slot Formalism Revisited: An Alternative Expression for the Thin-Slot Penetration

Cited by 4 publications

References 19 publications

A Simple Local Approximation FDTD Model of Short Apertures With a Finite Thickness

A Simple Local Approximation FDTD Model of Short Apertures With a Finite Thickness

A Hybrid Implicit-Explicit Spectral FDTD Scheme for Oblique Incidence Problems on Periodic Structures

Thin-slot formalism for the FDTD analysis of narrow apertures having depth

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