Adaptive sampling for fast physical optics numerical integration

Burkholder, Robert J.; Lee, Teh-Hong

doi:10.1109/tap.2005.846813

Cited by 37 publications

(24 citation statements)

References 8 publications

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“…This is the resolution usually required on the scatterer surface for a satisfactory numerical evaluation of the PO integral in order to obtain the scattered far-field from PO approximated surface currents [16]. This could also be considered the minimum resolution required in a FVTD (or FDTD) method to satisfactorily predict the scattered far-field in the absence of any discretization error.…”

Section: Proposed Fvtd Implementationmentioning

confidence: 99%

“…In the context of the PO technique, it has been shown that a larger sampling interval can be used for evaluation of near-specular scattering from extremely large, smooth structures [16]. This was demonstrated in [16] by computing the radiation pattern of a large reflector antenna. Present results for 2D circular cylinders, in Figs.…”

Section: Spatial Order Of Accuracymentioning

confidence: 99%

“…High-frequency PO approximations for equivalent surface currents are normally valid for electrically large, smooth sections of a scatterer. Thus, the proposed FVTD implementation is directed towards geometries with smooth, electrically large sections like nose radomes [11] and reflector antennas [16]. Preliminary related work, reported in [17], mainly considered FVTD computations on an uniform coarse grid for electrically large scatterers along with a PO approximation for resolving dominant specular returns.…”

Section: Introductionmentioning

confidence: 99%

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Efficient Implementation of Higher-Order Finite Volume Time-Domain Method for Electrically Large Scatterers

Chatterjee¹,

Myong²

2009

PIER B

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Abstract-The Finite Volume Time-Domain (FVTD) method finds limited application in the simulation of electromagnetic scattering from electrically large scatterers because of the fine discretization required in terms of points-per-wavelength. An efficient implementation of a higher-order FVTD method is proposed for electrically large, perfectly conducting scatterers. Higher-order and fine-grid accuracy are preserved, despite using only a first-order spatial accuracy and a coarse grid in substantial parts of the FVTD computational domain, by partially incorporating a time-domain Physical Optics (PO) approximation for the surface current. This can result in considerable savings in computational time while analyzing geometries containing electrically large, smooth sections using the FVTD method. The higher-order FVTD method in the present work is based on an Essentially Non-Oscillatory (ENO) reconstruction and results are presented for two-dimensional perfectly conducting scatterers subject to Transverse Magnetic (TM) or Transverse Electric (TE) illumination.

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Section: Proposed Fvtd Implementationmentioning

confidence: 99%

Section: Spatial Order Of Accuracymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient Implementation of Higher-Order Finite Volume Time-Domain Method for Electrically Large Scatterers

Chatterjee¹,

Myong²

2009

PIER B

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“…When the electrical size of objects are on the order of hundreds or thousands of working wavelength λ, that is, the essential frequencies k of the wave field are high enough, the physical optics (PO) approximation has been accepted as an efficient approach for analyzing the scattering and radiation electromagnetic problems [2][3][4][5][6][7][8][9][10][11][12][13][14][16][17][18][19], which was suggested by Macdonald [4] early in 1913. The PO current on a scattering surface lit region is defined by j (s) PO (r) = 2 ∂u (i) (r) ∂n , j (h) PO (r) = 2u (i) (r),…”

Section: Introductionmentioning

confidence: 99%

“…Hence, the PO integral kernel is getting more oscillatory as the electrical size of object becomes larger compared with the incident wavelength λ. Consequently, the computational cost by a direct numerical integration scheme [12,20] for the PO integral is extremely high. Due to the importance and challenges of acoustic, elastic and electromagnetic waves in high frequency applications, efficient numerical methods have attracted much attentions from mathematicians [23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

Jiang

Chew

2012

PIER

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Abstract-In this work, we use the numerical steepest descent path (numerical SDP) method in complex analysis theory to calculate the highly oscillatory physical optics (PO) integral with quadratic phase and amplitude variations on the triangular patch. The Stokes' phenomenon will occur due to various asymptotic behaviors on different domains. The stationary phase point contributions are carefully studied by the numerical SDP method and complex analysis using contour deformation. Its result agrees very well with the leading terms of the traditional asymptotic expansion. Furthermore, the resonance points and vertex points contributions from the PO integral are also extracted. Compared with traditional approximate asymptotic expansion approach, our method has significantly improved the PO integral accuracy by one to two digits (10 −1 to 10 −2 ) for evaluating the PO integral. Moreover, the computation effort for the highly oscillatory integral is frequency independent. Numerical results for PO integral on the triangular patch are given to verify the proposed numerical SDP theory.

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Sixty gigahertz indoor radio wave propagation prediction method based on full scattering model

Järveläinen

Haneda

2014

Radio Sci.

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Key Point:• Sixty gigahertz indoor propagation predicted with point cloud-based full diffuse method. Abstract In radio system deployment, the main focus is on assuring sufficient coverage, which can be estimated with path loss models for specific scenarios. When more detailed performance metrics such as peak throughput are studied, the environment has to be modeled accurately in order to estimate multipath behavior. By means of laser scanning we can acquire very accurate data of indoor environments, but the format of the scanning data, a point cloud, cannot be used directly in available deterministic propagation prediction tools. Therefore, we propose to use a single-lobe directive model, which calculates the electromagnetic field scattering from a small surface and is applicable to the point cloud, and describe the overall field as fully diffuse backscattering from the point cloud. The focus of this paper is to validate the point cloud-based full diffuse propagation prediction method at 60 GHz. The performance is evaluated by comparing characteristics of measured and predicted power delay profiles in a small office room and an ultrasonic inspection room in a hospital. Also directional characteristics are investigated. It is shown that by considering single-bounce scattering only, the mean delay can be estimated with an average error of 2.6% and the RMS delay spread with an average error of 8.2%. The errors when calculating the azimuth and elevation spreads are 2.6• and 0.6 • , respectively. Furthermore, the results demonstrate the applicability of a single parameter set to characterize the propagation channel in all transmit and receive antenna locations in the tested scenarios.

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Adaptive sampling for fast physical optics numerical integration

Cited by 37 publications

References 8 publications

Efficient Implementation of Higher-Order Finite Volume Time-Domain Method for Electrically Large Scatterers

Efficient Implementation of Higher-Order Finite Volume Time-Domain Method for Electrically Large Scatterers

An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

Sixty gigahertz indoor radio wave propagation prediction method based on full scattering model

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