Efficient Analysis of Antenna Around Electrically Large NURBS Platform With Accelerating MOM-PO Method

Huang, Kai; He, Zhili; Chen, Liang

doi:10.1109/lawp.2010.2044861

Cited by 13 publications

(10 citation statements)

References 10 publications

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“…Supposing the MOM region is divided into N subdomains, the incident magnetic field produced by the m th (

m = 1, 2, \dots N

) MOM subdomain is:

{\overset{⇀}{H}}_{m} ({\overset{⇀}{r}}_{s}) = \int_{S_{m}} \frac{- false(1 + j k R_{s d} false) false({\overset{⇀}{R}}_{s d} \times {\overset{g}{true}}_{m} false)}{4 π R_{s d}^{3}} e^{- j k R_{s d}} d S_{m}

where

S_{m}

is definition domain of the m th basis function within the MOM region,

k = 2 π f / C

f

is the antenna's working frequency,

C

is the velocity of light,

{\overset{R}{true}}_{s d} = {\overset{⇀}{r}}_{s} - {\overset{⇀}{r}}_{d}

{\overset{⇀}{r}}_{d}

is the point within the m th MOM subdomain,

{\overset{⇀}{r}}_{s}

is the point on the rational Bezier surface. The induced current on the surface is obtained from physical optics approximation, which is well known to us . Through several simple algebraic steps, the total PO scattered field from NURBS surfaces is expressed as:

{\overset{E}{true}}^{PO} = \frac{- d}{16 j ω ε π^{2}} \int_{0}^{1} true \int_{0}^{1} \overset{⇀}{g} (u, v) e^{j k f (u, v)} d...

…”

Section: Mom‐po Based On Nurbs Modelingmentioning

confidence: 99%

Section: Two Accelerating Techniquesmentioning

confidence: 99%

“…Once I MoM ½ is solved, the property of the antenna can also be analyzed from the current distribution in the MOM region. Supposing the MOM region is divided into N subdomains, the incident magnetic field produced by the mth (m51; 2; Á Á Á N) MOM subdomain is: The induced current on the surface is obtained from physical optics approximation, which is well known to us [3][4][5][6][7]. Through several simple algebraic steps, the total PO scattered field from NURBS surfaces is expressed as: vÞ can be seen clearly in [1].…”

Section: Mom-po Based On Nurbs Modelingmentioning

confidence: 99%

“…Because the electrical size of the PO region is much larger than that of the MOM region, that the neighboring MOM subdomains share the same critical points could become a reasonable approximation. The authors have introduced grouping technique in [4], so the detail of this process can be seen clearly in [4]. In the process of calculating the final disturbed pattern after the currents distributing over the MOM region and the PO region are worked out, field points should be sampled in the far field region.…”

Section: Two Accelerating Techniquesmentioning

confidence: 99%

See 3 more Smart Citations

An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

Huang

2015

Int J RF and Microwave Comp Aid Eng

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A novel hybrid method of moments and physical-optics (MOM-PO) method is presented to accurately analyze the performance of antennas placed closely around the electrically large platform modeled with nonuniform rational B-spline (NURBS) surfaces. Ludwig integral combining with stationary phase method is used to calculate the integral of induced currents. In addition, the computational efficiency is significantly improved using grouping of the MOM region and interpolation of critical points. Two numerical examples are calculated. Compared with the results calculated by other algorithms, such as MOM and conventional NURBS MOM-PO, the proposed method shows great capability to solve this particular problem precisely. The listed execution time consumed in different methods demonstrates the high efficiency of this approach.

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“…Supposing the MOM region is divided into N subdomains, the incident magnetic field produced by the m th (

m = 1, 2, \dots N

) MOM subdomain is:

{\overset{⇀}{H}}_{m} ({\overset{⇀}{r}}_{s}) = \int_{S_{m}} \frac{- false(1 + j k R_{s d} false) false({\overset{⇀}{R}}_{s d} \times {\overset{g}{true}}_{m} false)}{4 π R_{s d}^{3}} e^{- j k R_{s d}} d S_{m}

where

S_{m}

is definition domain of the m th basis function within the MOM region,

k = 2 π f / C

f

is the antenna's working frequency,

C

is the velocity of light,

{\overset{R}{true}}_{s d} = {\overset{⇀}{r}}_{s} - {\overset{⇀}{r}}_{d}

{\overset{⇀}{r}}_{d}

is the point within the m th MOM subdomain,

{\overset{⇀}{r}}_{s}

{\overset{E}{true}}^{PO} = \frac{- d}{16 j ω ε π^{2}} \int_{0}^{1} true \int_{0}^{1} \overset{⇀}{g} (u, v) e^{j k f (u, v)} d...

…”

Section: Mom‐po Based On Nurbs Modelingmentioning

confidence: 99%

Section: Two Accelerating Techniquesmentioning

confidence: 99%

Section: Mom-po Based On Nurbs Modelingmentioning

confidence: 99%

Section: Two Accelerating Techniquesmentioning

confidence: 99%

See 2 more Smart Citations

An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

Huang

2015

Int J RF and Microwave Comp Aid Eng

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“…In 1992, Perez and Catedra [1] first introduced the nonuniform rational B spline (NURBS) surface modeling technology into the field of high frequency electromagnetic computation. Since then, electromagnetic computational methods [2–7] based on NURBS modeling have drawn considerable attention due to the advantages of high modeling precision and little number of surfaces. In 2001, physics optics (PO) was successfully used to calculate the disturbed pattern of antenna around a platform modeled with NURBS surfaces [3].…”

Section: Introductionmentioning

confidence: 99%

Novel NURBS‐PO method for efficiently analyzing antenna around an electrically large platform

Huang

Chen

2011

Micro & Optical Tech Letters

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A novel physics optics (PO) method based on nonuniform rational B spline (NURBS) modeling is used to calculate the disturbed pattern of an antenna around an electrically large platform. Compared with the conventional NURBS-PO method, in which the true scattered field of an antenna is replaced by the spherical wave, the new technique uses the accurate radiation field as the incident field and overcomes the limitation that the antenna must be located far away from the scatterer. In addition, the computational efficiency is significantly improved using interpolation of critical points. Two numerical examples are calculated. Compared with the results calculated by other algorithms, such as method of moments and conventional NURBS-PO, the proposed method shows great capability to solve this particular problem precisely and efficiently.

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Analysis on radiation of antenna mounted on perfectly conducting convex surfaces by using NURBS‐UTD method

Wang

Dang

Yuan

et al. 2017

IET Microwaves, Antennas & Propagation

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This paper studies the use of NURBS‐UTD method in analyzing radiation of antenna set on perfectly conducting convex surfaces. The electromagnetic ray path is traced by numerical algorithm built from parametric domain in order to take advantage of the mapping definition for parametric surfaces. The presented algorithm can be applied to arbitrary shaped surfaces and provide accurate and stable geometrical parameters to calculation of electromagnetic fields afterwards. The algorithm is verified by cylinder on which analytical solution of ray path is available and good agreement is achieved by comparison. Radiation patterns of antennas mounted on arbitrary shaped surfaces are calculated and compared to commercial software to testify the accuracy and ability of the presented method. Evaluated by RMS error, the deviation between the presented method and commercial software is about 1 dB.

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Efficient Analysis of Antenna Around Electrically Large NURBS Platform With Accelerating MOM-PO Method

Cited by 13 publications

References 10 publications

An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

Novel NURBS‐PO method for efficiently analyzing antenna around an electrically large platform

Analysis on radiation of antenna mounted on perfectly conducting convex surfaces by using NURBS‐UTD method

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