Dispersion of waves guided along a cylindrical substrate-superstrate layered medium

Naishadham, K.; Felsen, Leopold B.

doi:10.1109/8.233133

Cited by 39 publications

(43 citation statements)

References 16 publications

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“…Based on that we may build the solution for each mode considering that the propagation along z has an identical z-dependency of the type e −jkzz for each mode. Since the dependency is identical also for all the cylindrical layers 1 < i < M , we reduce the problem introducing an eigenfunction expansion in z direction using a Fourier integral in the usual way [7,32] …”

Section: Methodsmentioning

confidence: 99%

“…There are several approaches for determining the unknown coefficients a n (x ) [7,21,31,32] which bring to different representation of the Green's function. For completeness, in the following the spectral representation will be discussed while a more physical approach will be introduced and explained later.…”

Section: The Sturm-liouville Differential Equationmentioning

confidence: 99%

“…We may conclude that the ±k M are singularities branch points. The other singularities are poles and represent the guided and unguided modes in the layered region and my be classified as leaky, creeping or trapped waves [26,32] and can be found in all the Riemann sheets corresponding to the branch point of the outer layer, Figure 10ii. The poles which are not in other Riemann sheets are modes which not satisfy the radiation condition.…”

Section: Analysis Of the Singularitiesmentioning

confidence: 99%

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Network Methods Applied to Multilayered Cylindrical Radiating Structures

Biscontini

Bürger

Russer

2004

Springer Proceedings in Physics

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This work deals with the development of methods, algorithms and software implementations, for the analysis, design and optimization of multilayered radiating cylindrical structures.A method based on the integral equation method (IEM) in connection with method of moment (MOM) is developed. Dealing with IEM a key problem is the computation of the Green's function.A novel method to compute the Green's function for multilayered cylindrical structures is presented. Making use of the symmetry properties of the cylindrical structure a circuit description of multilayered cylindrical structure in spectral domain (SD) is developed. The circuit model is based on generalized transmission lines (GTL). The GTL method is used to compute the spectral domain dyadic Green's function components. The space domain Green's functions are computed using a quasi-analytical approach. This means that we approximate the spectral domain Green's functions using a poles/residues expansion into a series of exponential functions. The poles and residues are estimated using the generalized pencil of function (GPOF) method. Having the spectral domain components of the dyadic Green's function represented by exponential functions, the space domain Green's function is performed analytically.The convergence of the cylindrical Green's function near the source region are treated in details. For this purpose we consider that the Green's function is given in terms a series of cylindrical waves functions. Due to the singularity of the Green's function in the origin, the correct and fast convergence in the near field is an important issue. In this work we present a convergence analysis of the cylindrical Green's function. In this context the availability of simple and accurate reference models for the evaluation of the method in the near field region is a key point. From the analytical point of view, the problem is solved by the theory of distribution. In this iii iv Table of Contents work, we discuss the limitations of the classical description of the source region given by the theory of distribution from the numerical implementation point of view.In order to show the potentialities and to validate the method, we present several challenge applications. The Green's function is used with MOM for the modelling of conformal cylindrical antennas embedded in a cylindrical radome structure and circular conformal antenna array mounded around a cylindrical mast acting as reflector. In order to demonstrate one important advantage rotational symmetric structures, we present beamforming and azimuthal scanning algorithms combined with electromagnetic simulations of the antenna array without and with a three layers radome. Although beam-shaping has advanced properties, the proposed method for numerical modelling is rather fast and efficient. Indeed, due to the fast semianalytical approach presented in this work, we show that the computation can be carried out quasi simultaneously. The results are compared with measurements and with results obtained with others c...

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Section: Methodsmentioning

confidence: 99%

Section: The Sturm-liouville Differential Equationmentioning

confidence: 99%

Section: Analysis Of the Singularitiesmentioning

confidence: 99%

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Network Methods Applied to Multilayered Cylindrical Radiating Structures

Biscontini

Bürger

Russer

2004

Springer Proceedings in Physics

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“…In (16), the condition for order n of Bessel and Hankel functions is |n − x| ≥ |x| 1/3 for all used arguments x during the integration procedure [27]. Next, the radiation field of the pqth element can be calculated in the following way [28] …”

Section: Formulationmentioning

confidence: 99%

Radiation Patterns Synthesis for a Conformal Dipole Antenna Array

He¹,

Wang²

2007

PIER

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Abstract-A conformal cylindrical dipole array is developed in this paper. Because the conformal dipole array is curved, new far field pattern behaviors emerge. In this paper, we start to analyse the equations for the far field of the conformal dipole array by using the method of moments (MoM) with a dyadic Green's function, and then validate the accuracy of the far field expressions. Next, a novel Gauss amplitude distribution, which is capable to yield a desired far field radiation pattern when the array structure has a relative small cylindrical radius, is proposed. The advantage of the proposed method is that it can provide good aperture distributions to obtain low sidelobe level.

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“…in both cases Legendre polynomials and their derivatives, appearing in matrix L(«, w,9 ), are divided with ylS(n,m) . (10) Notice that for normalization factor we have chosen the rapidly growing term inside ^jS{n,m) (see eq. (4.d)).…”

Section: New Definition Od Vector-legendre Transformation and Normalimentioning

confidence: 99%

Analysis of Curved Microstrip Antennas

Šipuš¹,

Burum²,

Zentner³

2003

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Dispersion of waves guided along a cylindrical substrate-superstrate layered medium

Cited by 39 publications

References 16 publications

Network Methods Applied to Multilayered Cylindrical Radiating Structures

Network Methods Applied to Multilayered Cylindrical Radiating Structures

Radiation Patterns Synthesis for a Conformal Dipole Antenna Array

Analysis of Curved Microstrip Antennas

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