An asymptotic solution for the surface magnetic field within the paraxial region of a circular cylinder with an impedance boundary condition

Tokgöz, Çağatay; Pathak, P.H.; Marhefka, R.J.

doi:10.1109/tap.2005.844461

Cited by 19 publications

(12 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Amongst the host of creeping wave formulations cited earlier, [25] appears to have some significance near 09 -0, and is also valid in the deep shadow regions unlike the formulation in [32]. The array geometry in Fig.…”

Section: Introductionmentioning

confidence: 95%

Numerical Modeling of Conformal Phased Arrays on Tactical Systems

Chatterjee

2006

MILCOM 2006 - 2006 IEEE Military Communications Conference

View full text Add to dashboard Cite

Conformal phased arrays on missiles and other tactical military platforms are affected in their radiation behavior by the local surface geometry. This controls the array blind spot locations and are dominantly influenced by the creeping wave propagation between array elements. However, for an arbitrary location pair on the curved surface, the appropriate creeping wave formulation can be different and there exists no single formulation that is uniformly valid from the paraxial to the deep shadow region. In this paper, a criterion expressed in terms of the universal Fock parameter (, for switching between two distinct creeping wave formulations is investigated empirically. This is accomplished by numerically comparing four different highfrequency formulations for source excited surface Hz and Ho, magnetic fields on conducting circular cylinders.Interestingly, the numerical results indicate that a single value for ( may not exist for both Hz and Ho components, for a given axial separations and cylinder electrical radius ka. The results indicate need for development of advanced creeping wave formulations for improved modeling and performance analysis of flush-mounted conformal phased array systems.

show abstract

Section: Introductionmentioning

confidence: 95%

Numerical Modeling of Conformal Phased Arrays on Tactical Systems

Chatterjee

2006

MILCOM 2006 - 2006 IEEE Military Communications Conference

View full text Add to dashboard Cite

show abstract

“…Also, with the development of problems met in practice, lots of work on UTD try to extend the use of the method to wider areas [4][5][6]. Among works mentioned above, there is a tiny assumption that the ray is valid in the first place and the models like wedges exist alone.…”

Section: Introductionmentioning

confidence: 99%

Study on the Blockage of Electromagnetic Rays Analytically

Chen¹,

Liu²,

Hao³

2008

PIER B

View full text Add to dashboard Cite

Abstract-The electromagnetic rays might be shaded when an obstacle occurs in its way. In this paper, the close analytic expressions determining whether a ray is shaded by boards, elliptic cylinders, elliptic spheres and elliptic cones are presented based on general principle of Geometrical Optics. In optical methods like GTD or UTD in computational electromagnetics which are based on various rays, what studied in this paper with the advantages of analytical measures can be useful to keep the rays valid. Several examples are given as further proof.

show abstract

“…patches). Only non-paraxial region has been considered, however the analysis method could be enhanced by implementing one of the asymptotic solutions valid within the paraxial region and available in the literature [15], [16]. Moreover, further study of analytic methods for the canonical problem of microstrip antennas on coated circular-cylindrical or spherical structures may lead toward the development of an efficient designing tool for patch arrays printed over large arbitrary convex coated surfaces [7].…”

mentioning

confidence: 99%

“…The surface impedance expressions in (15) and (16) are not suitable to be used in the UTD formulation, when Bessel and Hankel functions are of complex order. Thus, to simplify (15), two-term Debye's asymptotic formulas [20] are implemented and, as proposed in [21], a Taylor Series expansion in the 1/6 variable around 1/6 = 0 is performed retaining the first two terms.…”

mentioning

confidence: 99%

An Asymptotic Solution for Surface Fields on a Dielectric-Coated Circular Cylinder With an Effective Impedance Boundary Condition

Aguilar

Šipuš

Sierra‐Pérez

2013

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Abstract-An effective surface impedance approach is introduced for determining surface fields on an electrically large dielectric-coated metallic circular cylinder. Differences in analysis of rigorously-treated coated metallic cylinders and cylinders with an impedance boundary condition (IBC) are discussed. While for the impedance cylinder case a single constant surface impedance is considered, for the coated metallic cylinder case two surface impedances are derived. These are associated with the TM and TE creeping wave modes excited on a cylinder and depend on observation and source positions and orientations. With this in mind, a uniform theory of diffraction (UTD) based method with IBC is derived for the surface fields by taking into account the surface impedance variation. The asymptotic expansion is performed, via the Watson transformation, over the appropriate series representation of the Green's functions, thus avoiding higher-order derivatives of Fock-type integrals, and yielding a fast and an accurate solution. Numerical examples reveal a very good accuracy for large cylinders when the separation between the observation and the source point is large. Thus, this solution could be efficiently applied in mutual coupling analysis, along with the method of moments (MoM), of large conformal microstrip array antennas.

show abstract

An asymptotic solution for the surface magnetic field within the paraxial region of a circular cylinder with an impedance boundary condition

Cited by 19 publications

References 9 publications

Numerical Modeling of Conformal Phased Arrays on Tactical Systems

Numerical Modeling of Conformal Phased Arrays on Tactical Systems

Study on the Blockage of Electromagnetic Rays Analytically

An Asymptotic Solution for Surface Fields on a Dielectric-Coated Circular Cylinder With an Effective Impedance Boundary Condition

Contact Info

Product

Resources

About