Improved MOM‐PO hybrid method for analyzing antenna around nurbs scatterer

Huang, Kai; He, Zhili; Chen, Liang

doi:10.1002/mop.25392

Cited by 3 publications

(5 citation statements)

References 9 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%

“…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%

“…In 1992, Perez and Catedra first introduced the nonuniform rational B‐spline (NURBS) surface modeling technology into the field of high frequency electromagnetic computation. As then, electromagnetic computational methods based on NURBS modeling have drawn considerable attention due to the advantages of high modeling precision and small number of surfaces. In 2007, method of moments and physical‐optics (MOM‐PO) based on NURBS modeling was successfully used to calculate the disturbed pattern of antenna around a platform modeled with NURBS surfaces .…”

Section: Introductionmentioning

confidence: 99%

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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: Mom-po Based On Nurbs Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…Although the NURBS surface has advantages of modeling, it is very difficult to be applied in the electromagnetic calculation directly because of the use of basis functions of recursive form. Therefore, NURBS surfaces used for electromagnetic calculation usually need to be converted into Bezier surfaces [1–7]. The basic expression for Bezier surface is where $\vec P_{ij}$ stands for the control points of the surface, w ij the weights of the control points, m and n are the surface's degree, B

_{italicm}^{italicj}

( v ) and B

_{italicn}^{italici}

( u ) are the Bernstein polynomials, u and v can be any value within [0,1].…”

Section: Formulations Of Nurbs‐pomentioning

confidence: 99%

“…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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Quasihybrid scheme of nonuniform rational B‐spline–uniform geometrical theory of diffraction method for radiation of antennas

Wang

Dang

Yuan

et al. 2011

Micro & Optical Tech Letters

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frequency is above 11 KHz, the curve of h(f) is declined abruptly. Figure 5(b) shows the amplitude-frequency response of the FFP tunable filter. The amplitude-frequency of the filter is kept under À2dB below 1.8 KHz, and the resonant frequency of the filter is about 13 KHz for the minimum amplitude-frequency response. For applications of this device to fast and accurate scanning or locking, it is better to select the frequency of sinusoidal signal below 1.8 KHz. CONCLUSIONSIn summary, a simple and an accurate method for measuring the phase-frequency response of FFP tunable filters has been proposed, which is based on a modification to the dynamic transfer function of the filter. The method has been demonstrated successfully with measurements of the phase-frequency response and the amplitude-frequency response of a FFP tunable filter. The phase-frequency characteristic is important for designs of the device and surrounding control electronics, especially for the wavelength locking application. ACKNOWLEDGMENTS

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Improved MOM‐PO hybrid method for analyzing antenna around nurbs scatterer

Cited by 3 publications

References 9 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

Quasihybrid scheme of nonuniform rational B‐spline–uniform geometrical theory of diffraction method for radiation of antennas

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