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An efficient method for calculating impedance matrix elements is proposed for analysis of microstrip structures with an arbitrary substrate thickness. Closed-form Green's functions are derived by applying the GPOF method to the remaining function after the extraction of the contributions of the surface wave pole, source dipole itself, and quasi-static (i.e.real images) from a spectral domain Green's function. When closed-form Green's functions are used in conjunction with rooftop-pulse subsectional basis functions and the razor testing function in an MoM with an MPIE formulation, the integrals appearing in the calculation procedure of the diagonal matrix elements are of two types. The first is *x*_{0}^{n} [*e*^(-*jk*_{0}(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})/(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})]*dx*_{0}*dy*_{0} (where *n*=0, 1) for the contribution of both the source dipole itself or real images where *a*=0 and complex images where *a*=complex constant, while the other is *x*_{0}^{n} *H*_{0}^{(2)}(*k*_{ρp} (*x*_{0}^{2} + *y*_{0}^{2})^{1/2})*dx*_{0}*dy*_{0} for the contribution of the surface wave pole where *k*_{ρp} is a real pole due to the surface wave. Adopting a polar coordinate for the integral for both cases of *n*=0 and *n*=1 and performing analytical integrations for *n*=1 with respect to the variable *x*_{0} for both types not only removes the singularities but also drastically reduces the evaluation time for the numerical integration. In addition, the above numerical efficiency is also retained for the off-diagonal elements. To validate the proposed method, several numerical examples are presented.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E85-C No.12 pp.2109-2116

- Publication Date
- 2002/12/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Electromagnetic Theory

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Young-Soon LEE, Eui-Joong KIM, Young-Ki CHO, "Efficient Computation of MoM Matrix Elements in Analysis of General Microstrip Structure" in IEICE TRANSACTIONS on Electronics,
vol. E85-C, no. 12, pp. 2109-2116, December 2002, doi: .

Abstract: An efficient method for calculating impedance matrix elements is proposed for analysis of microstrip structures with an arbitrary substrate thickness. Closed-form Green's functions are derived by applying the GPOF method to the remaining function after the extraction of the contributions of the surface wave pole, source dipole itself, and quasi-static (i.e.real images) from a spectral domain Green's function. When closed-form Green's functions are used in conjunction with rooftop-pulse subsectional basis functions and the razor testing function in an MoM with an MPIE formulation, the integrals appearing in the calculation procedure of the diagonal matrix elements are of two types. The first is *x*_{0}^{n} [*e*^(-*jk*_{0}(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})/(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})]*dx*_{0}*dy*_{0} (where *n*=0, 1) for the contribution of both the source dipole itself or real images where *a*=0 and complex images where *a*=complex constant, while the other is *x*_{0}^{n} *H*_{0}^{(2)}(*k*_{ρp} (*x*_{0}^{2} + *y*_{0}^{2})^{1/2})*dx*_{0}*dy*_{0} for the contribution of the surface wave pole where *k*_{ρp} is a real pole due to the surface wave. Adopting a polar coordinate for the integral for both cases of *n*=0 and *n*=1 and performing analytical integrations for *n*=1 with respect to the variable *x*_{0} for both types not only removes the singularities but also drastically reduces the evaluation time for the numerical integration. In addition, the above numerical efficiency is also retained for the off-diagonal elements. To validate the proposed method, several numerical examples are presented.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/e85-c_12_2109/_p

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@ARTICLE{e85-c_12_2109,

author={Young-Soon LEE, Eui-Joong KIM, Young-Ki CHO, },

journal={IEICE TRANSACTIONS on Electronics},

title={Efficient Computation of MoM Matrix Elements in Analysis of General Microstrip Structure},

year={2002},

volume={E85-C},

number={12},

pages={2109-2116},

abstract={An efficient method for calculating impedance matrix elements is proposed for analysis of microstrip structures with an arbitrary substrate thickness. Closed-form Green's functions are derived by applying the GPOF method to the remaining function after the extraction of the contributions of the surface wave pole, source dipole itself, and quasi-static (i.e.real images) from a spectral domain Green's function. When closed-form Green's functions are used in conjunction with rooftop-pulse subsectional basis functions and the razor testing function in an MoM with an MPIE formulation, the integrals appearing in the calculation procedure of the diagonal matrix elements are of two types. The first is *x*_{0}^{n} [*e*^(-*jk*_{0}(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})/(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})]*dx*_{0}*dy*_{0} (where *n*=0, 1) for the contribution of both the source dipole itself or real images where *a*=0 and complex images where *a*=complex constant, while the other is *x*_{0}^{n} *H*_{0}^{(2)}(*k*_{ρp} (*x*_{0}^{2} + *y*_{0}^{2})^{1/2})*dx*_{0}*dy*_{0} for the contribution of the surface wave pole where *k*_{ρp} is a real pole due to the surface wave. Adopting a polar coordinate for the integral for both cases of *n*=0 and *n*=1 and performing analytical integrations for *n*=1 with respect to the variable *x*_{0} for both types not only removes the singularities but also drastically reduces the evaluation time for the numerical integration. In addition, the above numerical efficiency is also retained for the off-diagonal elements. To validate the proposed method, several numerical examples are presented.

keywords={},

doi={},

ISSN={},

month={December},}

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TY - JOUR

TI - Efficient Computation of MoM Matrix Elements in Analysis of General Microstrip Structure

T2 - IEICE TRANSACTIONS on Electronics

SP - 2109

EP - 2116

AU - Young-Soon LEE

AU - Eui-Joong KIM

AU - Young-Ki CHO

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Electronics

SN -

VL - E85-C

IS - 12

JA - IEICE TRANSACTIONS on Electronics

Y1 - December 2002

AB - An efficient method for calculating impedance matrix elements is proposed for analysis of microstrip structures with an arbitrary substrate thickness. Closed-form Green's functions are derived by applying the GPOF method to the remaining function after the extraction of the contributions of the surface wave pole, source dipole itself, and quasi-static (i.e.real images) from a spectral domain Green's function. When closed-form Green's functions are used in conjunction with rooftop-pulse subsectional basis functions and the razor testing function in an MoM with an MPIE formulation, the integrals appearing in the calculation procedure of the diagonal matrix elements are of two types. The first is *x*_{0}^{n} [*e*^(-*jk*_{0}(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})/(*x*_{0}^{2} + *y*_{0}^{2} +*a*^{2})^{1/2})]*dx*_{0}*dy*_{0} (where *n*=0, 1) for the contribution of both the source dipole itself or real images where *a*=0 and complex images where *a*=complex constant, while the other is *x*_{0}^{n} *H*_{0}^{(2)}(*k*_{ρp} (*x*_{0}^{2} + *y*_{0}^{2})^{1/2})*dx*_{0}*dy*_{0} for the contribution of the surface wave pole where *k*_{ρp} is a real pole due to the surface wave. Adopting a polar coordinate for the integral for both cases of *n*=0 and *n*=1 and performing analytical integrations for *n*=1 with respect to the variable *x*_{0} for both types not only removes the singularities but also drastically reduces the evaluation time for the numerical integration. In addition, the above numerical efficiency is also retained for the off-diagonal elements. To validate the proposed method, several numerical examples are presented.

ER -