A hybrid finite-element method for axisymmetric waveguide-fed horns

Chinn, G.C.; Epp, L.; Hoppe, Daniel

doi:10.1109/8.486294

Cited by 20 publications

(7 citation statements)

References 9 publications

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“…Other examples include Refs. [16][17][18], whereby the continuity conditions over the interface between two regions in electromagnetic waveguide are enforced using mode matching (MM). In acoustics, the application of the method is arguably less widespread and examples tend to favour exterior problems.…”

Section: Introductionmentioning

confidence: 99%

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Kirby

2008

The Journal of the Acoustical Society of America

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Sound propagation in an acoustic waveguide is examined using a hybrid numerical technique.Here, the waveguide is assumed to be infinite in length with an arbitrary but uniform crosssection. Placed centrally within the guide is a short component section with an irregular, nonuniform, shape. The hybrid method utilises a wave based modal solution for a uniform section of the guide and, using either a mode matching or point collocation approach, matches this to a standard finite element based solution for the component section. Thus, one needs only to generate a transverse finite element mesh in uniform sections of the waveguide and this significantly reduces the number of degrees of freedom required. Moreover, utilising a wave based solution removes the need to numerically enforce a non-reflecting boundary condition at infinity using a necessarily finite mesh, which is often encountered in studies that use only the standard finite element method. Accordingly, the component transmission loss may readily be computed and predictions are presented here for three examples: an expansion chamber, a converging-diverging duct and a circular cylinder. Good agreement with analytic models is observed, and transmission loss predictions are also presented for multi-mode incident and transmitted sound fields. Kirby, JASA 3

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Section: Introductionmentioning

confidence: 99%

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Kirby

2008

The Journal of the Acoustical Society of America

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“…References [5}13]) techniques have been devised that combine the method of moments and the geometrical theory of di!raction or physical optics [14,15]. Similarly, numerical methods such as "nite elements (FEM) or "nite di!erences have been considered in conjuction with moment methods [16,17], integral equations [18,19], with boundary integrals [20], with modal techniques [21,22], with multipole methods [23], etc. Combinations of other methods, e.g.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic field representations and computations in complex structures I: complexity architecture and generalized network formulation

Felsen

Mongiardo

Russer

2002

Int J Numerical Modelling

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SUMMARYIn this three-part sequence of papers, we outline an architecture for systematically dealing in an e$cient and rigorous manner with electromagnetic "eld representations and computations in complex structures. The approach is based on the topological partitioning of the complex structure into several subdomains joined together by interfaces. In analogy with network theory, individual subdomains are characterized via subdomain relations, obtained either analytically or numerically, and described in a uni"ed format by using a generalized network formulation; the various subdomains are linked together via connection relations provided by the complex structure topology. Together these two relations yield the ¹ableau equations which combine all of the necessary information. The suggested framework accommodates the use of di!erent analytic/numerical methods (hybridization), the choice of problem-matched alternative Green's function representations, as well as di!erent types of "eld representations. In the present paper, we focus on the general architecture, various options and their implications, in Part II [1] we furnish formal expressions for the subdomain relationships via alternative Green's functions representations; and in part III [2], we discuss the connection network properties.

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“…In this case, the taper configuration is represented by various functions, so that it is difficult to make the length drastically short, keeping the high performance. In addition to the mode-matching approach, the finite-element method [16], [17] and the finite-difference time-domain method [18] have been developed for analyzing the curved-taper horns. Currently, various types of optimization algorithms have been applied to the horn design using these methods [19]- [21].…”

Section: Introductionmentioning

confidence: 99%

Compact Low-Cross-Polarization Horn Antennas With Serpentine-Shaped Taper

Deguchi

Tsuji

Shigesawa

2004

IEEE Trans. Antennas Propagat.

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A compact horn with low cross polarization component less than 35 dB over 5% frequency bandwidth has been obtained by optimizing the taper configuration. To reduce the gain loss caused by spherical wavefront in a short length horn with a large flare angle, a serpentine-shaped taper successfully generates five higher-order modes. Such a taper configuration is represented by varying lengths of various uniform waveguides in stepwise approximation, while keeping the dimension of each step discontinuity constant. As a result, the computational time for obtaining the proposed horn is greatly reduced because scattering matrices of the step discontinuities are pre-calculated before the optimization. The verification of its high performance has been performed numerically and experimentally.

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A hybrid finite-element method for axisymmetric waveguide-fed horns

Cited by 20 publications

References 9 publications

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Electromagnetic field representations and computations in complex structures I: complexity architecture and generalized network formulation

Compact Low-Cross-Polarization Horn Antennas With Serpentine-Shaped Taper

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