Differential and Single-Ended Microstrip Lines Loaded with Slotted Magnetic-LC Resonators

J Naqui,F Martín,M Durán-Sindreu

doi:10.1155/2013/640514

J Naqui, F Martín + Show 1 more

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https://doi.org/10.1155/2013/640514

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Abstract

This paper is focused on magnetic-LC (MLC) resonators, namely, slotted resonators that can be considered the complementary counterparts of the so-called electric-LC (ELC) resonators. Both resonators exhibit two symmetry planes (i.e., they are bisymmetric), one of them being an electric wall and the other a magnetic wall at the fundamental resonance. Therefore, compared to other electrically small resonators such as folded stepped impedance resonators (SIRs), split ring resonators (SRRs), and their complementary counterparts, MLC and ELC resonators exhibit a very rich phenomenology. In this paper, single-ended microstrip lines and differential microstrip lines loaded with MLC resonators are studied, and potential applications are highlighted.

Highlights

Split-ring resonators (SRRs) [1, 2] and their complementary counterparts (CSRRs) [3] (Figure 1) have been extensively used for the implementation of metamaterials and many devices based on them [4]
split ring resonators (SRRs) can be excited by means of a uniform axial (z direction) time-varying magnetic field and/or by an electric field applied in the plane of the particle (y direction); that is, the particle exhibits bianisotropy [5]
It follows that the CSRR can be excited through an axial electric field and/or a magnetic field applied in the y direction, whose symmetry plane behaves as a virtual magnetic wall at the fundamental resonance [6]

Summary

Introduction

Split-ring resonators (SRRs) [1, 2] and their complementary counterparts (CSRRs) [3] (Figure 1) have been extensively used for the implementation of metamaterials and many devices based on them [4]. SRRs can be excited by means of a uniform axial (z direction) time-varying magnetic field and/or by an electric field applied in the plane of the particle (y direction); that is, the particle exhibits bianisotropy [5]. An electric dipole moment appears in the orthogonal direction to the electric wall (indicated in Figure 3), which means that the ELC can be excited through a uniform timevarying electric field applied to that direction This is the reason that explains the terminology used to designate this particle, which prevents bianisotropy. By applying the Babinet’s principle, it follows that the MLC can be excited by means of a time-varying magnetic field applied in the plane of the particle (y direction), but not by a uniform electric field normal to the particle plane (which is the usual driving mechanism in CSRRs [3] and in the complementary structures of Figure 2).

Single-Ended Microstrip and Differential Microstrip Lines Loaded with MLCs

Potential Applications

Conclusions