Discrete Green's function formulation of the FDTD method and its application in antenna modeling

Ma, Wing-Kin; Rayner, M.; Parini, C.G.

doi:10.1109/tap.2004.838797

Cited by 36 publications

(45 citation statements)

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“…Indeed, this approach is at the core of the work by [4] and [5], but neither paper provided details concerning the Fourier transforms nor were details discussed in [9]. (It should also be pointed out that Ma et al [10] have obtained an analytic expression for the field at an arbitrary point in the FDTD grid due to a source which is impulsive both in time and space. That differs from the solution here in that plane waves are of interest.…”

Section: The Afp Tfsf Methodsmentioning

confidence: 99%

Time-Domain Simulations of Problems in Ocean Acoustics

Schneider¹

2006

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the d-ataneeded, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports 10704-01881, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid DMB control number. A total-field scattered-field (TFSF) boundary can be used to introduce incident plane waves into finite-difference time-domain (FDTD) simulations. For fields which are traveling obliquely to the grid axes, there is no simple way to account fully for the effects of the inherent numerical artifacts associated with plane-wave propagation in the FDTD grid. Failure to account for these artifacts causes erroneous fields to leak across the TFSF boundary. The work performed under this grant developed a TFSF boundary for problems involving a planar interface that is theoretically exact. Such a boundary is essential when modeling the scattering from objects in the vicinity of ocean sediment. Although the TFSF boundary assumes a planar interface, the actual interface used in a simulation can take any shape and the space within the total-field region is arbitrary. A suite of C programs was written to implement the boundary. factual summary of the most significant information. PLEASE DO NOT5e. TASK NUMBER. Enter all task numbers as they 15. SUBJECT TERMS. Key words or phrases appear in the report, e.g. 05; RF0330201; T4112.identifying major concepts in the report.5f. WORK UNIT NUMBER. Enter all work unit numbers as they appear in the report, e.g. 001; 16. SECURITY CLASSIFICATION. Enter security AFAPL30480105.classification in accordance with security classification regulations, e.g. U, C, S, etc. If this form contains 6. AUTHOR(S). Enter name(s) of person(s) classified information, stamp classification level on the responsible for writing the report, performing the top and bottom of this page. research, or credited with the content of the report. The form of entry is the last name, first name, middle 17. LIMITATION OF ABSTRACT. This block must be initial, and additional qualifiers separated by commas, completed to assign a distribution limitation to the e.g. Smith, Richard, J, Jr.abstract. Enter UU (Unclassified Unlimited) or SAR (Same as Report). An entry in this block is necessary if 7. PERFORMING ORGANIZATION NAME(S) AND teasrc st elmtd the abstract is to be limited. Abstract A total-field scattered-field (TFSF) boundary can be used to introduce incident plane waves into fi...

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Section: The Afp Tfsf Methodsmentioning

confidence: 99%

Time-Domain Simulations of Problems in Ocean Acoustics

Schneider¹

2006

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“…The hybridization between the finite-difference time-domain (FDTD) method and integral equation based numerical methods requires consistency with the discrete electromagnetism theory [1][2][3][4][5] and the discrete Green's function (DGF) that is compatible with the Yee's grid [6][7][8][9][10][11][12]. The DGF is directly derived from the FDTD update equations thus the FDTD method and its integral discrete formulation based on the DGF can be perfectly coupled [11].…”

Section: Introductionmentioning

confidence: 99%

“…The DGF is directly derived from the FDTD update equations thus the FDTD method and its integral discrete formulation based on the DGF can be perfectly coupled [11]. Applications include electromagnetic simulations on disjoint domains [13] and construction of the boundary conditions, i.e., absorbing (ABC) [7,8,12] as well as truncating the grid in the presence of reflecting external media [14].…”

Section: Introductionmentioning

confidence: 99%

“…Due to the above-mentioned advantages of the DGF application, this function has been found to be an efficient tool facilitating the design process of antennas [10][11][12]. The FDTD efficiency in such simulations is mostly affected by the number of cells occupied by the vacuum in the region between an antenna and an observation point.…”

Section: Introductionmentioning

confidence: 99%

“…The FDTD efficiency in such simulations is mostly affected by the number of cells occupied by the vacuum in the region between an antenna and an observation point. In [10,11], the DGF antenna simulations were demonstrated based on wire-antenna examples showing the savings in runtime and memory usage. In [12], the DGF approach to FDTD simulations was demonstrated in the design process of the ultra-wideband cylindrical antenna.…”

Section: Introductionmentioning

confidence: 99%

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Implementation of FDTD-Compatible Green's Function on Heterogeneous Cpu-Gpu Parallel Processing System

Stefański¹

2013

PIER

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Abstract-This paper presents an implementation of the FDTDcompatible Green's function on a heterogeneous parallel processing system.The developed implementation simultaneously utilizes computational power of the central processing unit (CPU) and the graphics processing unit (GPU) to the computational tasks best suited for each architecture. Recently, closed-form expression for this discrete Green's function (DGF) was derived, which facilitates its applications in the FDTD simulations of radiation and scattering problems. Unfortunately, implementation of the new DGF formula in software requires a multiple precision arithmetic and may cause long runtimes. Therefore, an acceleration of the DGF computations on a CPU-GPU heterogeneous parallel processing system was developed using the multiple precision arithmetic and the OpenMP and CUDA parallel programming interfaces. The method avoids drawbacks of the CPUand GPU-only accelerated implementations of the DGF, i.e., long runtime on the CPU and significant overhead of the GPU initialization respectively for long and short length of the DGF waveform. As a result, the sevenfold speedup was obtained relative to the reference DGF implementation on a multicore CPU thus applicability of the DGF in FDTD simulations was significantly improved.

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Discrete Green's Function Approach for The Analysis of A Dual Band‐Notched Uwb Antenna

Mirhadi

Soleimani

Abdolali

2013

Micro & Optical Tech Letters

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A novel UWB monopole antenna with trident feeding and dual band‐notched characteristics is proposed. The antenna consists of two bottom corner notches for improvement of impedance matching and two U‐shaped slots for rejection of WLAN and WiMAX bands. Discrete Green's function approach has been utilized to numerically achieve time‐domain current distribution on the antenna. A good agreement between simulation and experimental results is observed. © 2013 Wiley Periodicals, Inc. Microwave Opt Technol Lett 55:2168–2174, 2013

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Discrete Green's function formulation of the FDTD method and its application in antenna modeling

Cited by 36 publications

References 4 publications

Time-Domain Simulations of Problems in Ocean Acoustics

Time-Domain Simulations of Problems in Ocean Acoustics

Implementation of FDTD-Compatible Green's Function on Heterogeneous Cpu-Gpu Parallel Processing System

Discrete Green's Function Approach for The Analysis of A Dual Band‐Notched Uwb Antenna

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