Abstract

Analytical methods are significantly useful tools for engineers in computational modeling. These methods provide fast simulations, while preserving physical meaning. In this paper, a full analytical formulation is developed based on the circuit approach, also known as Intermediate Level Circuit Model (ILCM), to evaluate the shielding effectiveness (SE) of metallic structures. The proposal focuses on rectangular enclosures containing apertures of complex geometrical shape, illuminated by an external plane wave. The enclosure is taken as a short-circuited waveguide. The aperture is treated as a transmission line with an intrinsic impedance that depends on the aperture polarizability, according to Bethe’s theory of small holes. The formulation easily takes into account high-order resonant modes and different apertures, such as circular, elliptical, round-ended and cross-shaped apertures. The ILCM technique reveals good agreement with a numerical full-wave method for various configurations of enclosures, covering a large range of frequencies from 0.5 GHz to 2.5 GHz, thus offering perspectives for parametric and/or optimization SE studies.

Highlights

  • I N solving electromagnetic (EM) field problems, numerical methods have become popular as a result of the development of accurate and efficient software associated with cost reductions and an increase in the speed of computational systems [1] [2] [3] [4]

  • Our paper focuses on the development of a fully analytical approach based on an Intermediate Level Circuit Model (ILCM) which is able to evaluate the rate of penetration of the electromagnetic fields inside a rectangular metallic enclosure with complex apertures

  • In this paper, we have focused on a full analytical approach to evaluate the shielding effectiveness of metallic shields that contain complex aperture shapes

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Summary

INTRODUCTION

I N solving electromagnetic (EM) field problems, numerical methods have become popular as a result of the development of accurate and efficient software associated with cost reductions and an increase in the speed of computational systems [1] [2] [3] [4]. Our paper focuses on the development of a fully analytical approach based on an Intermediate Level Circuit Model (ILCM) which is able to evaluate the rate of penetration of the electromagnetic fields inside a rectangular metallic enclosure with complex apertures. Even though Hong Yi et al improved Robinson’s model, their formulation still presents the same extreme limitations with respect to aperture position (centered) and waveguide excitation (dominant mode only) Another significant work has been reported by Solin [11]. He developed a fully analytical approach based on Bethe’s theory for aperture coupling and Collin’s perturbation method for wall losses [12], leading to a rigorous mathematical description of the problem of realistic enclosures. The evaluation concerns complex apertures, such as round-ended and cross-shaped

CIRCUIT MODEL DESCRIPTION
TOTAL APERTURE IMPEDANCE
FINAL CIRCUIT MODEL
NUMERICAL VALIDATION
CIRCULAR APERTURE
COMPLEX APERTURES
Findings
CONCLUSION
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