Abstract

A novel microwave sensor with the mu-near-zero (MNZ) property is proposed for testing magnetodielectric material at 4.5 GHz. The sensor has a double-layer design consisting of a microstrip line and a metal strip with vias on layers 1 and 2, respectively. The proposed sensor can detect a unit change in relative permittivity and relative permeability with a difference in the operating frequency of 45 MHz and 78 MHz, respectively. The MNZ sensor is fabricated and assembled on two layers of Taconic RF-35 substrate, with thicknesses of 0.51 mm and 1.52 mm, respectively, for the measurement of the sample under test using a vector network analyzer. The dielectric and magnetic properties of two standard dielectric materials (Taconic CER-10 and Rogers TMM13i) and of yttrium–gadolinium iron garnet are measured at microwave frequencies. The results are found to be in good agreement with the values available in the literature, which shows the applicability of the prototype for sensing of magnetodielectric materials.

Highlights

  • A novel microwave sensor with the mu-near-zero (MNZ) property is proposed for testing magnetodielectric material at 4.5 GHz

  • Magnetodielectric materials with dielectric constant and relative permeability greater than unity are an attractive alternative to ferrites and dielectrics for miniaturization, as they give one more degree of freedom that helps in the design of high-frequency c­ ircuits[2]

  • The promising results that have emerged from studies of the advantages and limitations of designing radio frequency (RF) and microwave devices using magnetodielectric materials, instead of ferrites or pure dielectric materials, open up new opportunities for the development of compact and reconfigurable future generation high-frequency circuits and ­systems[1,2,3]

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Summary

Theory of ENZ and MNZ

To introduce the concepts of ENZ and MNZ and to highlight some phenomena associated with them, let us consider a parallel plate waveguide (PPW) viz. PPW1 that supports the TEM wave as a dominant mode of wave propagation. If the PPW1 is made of standard non-magnetic material having permeability, μ1 = μ0 and permittivity, ε1= ε0εr, while PPW2 has permeability μ2 = μ0μeff and ε2 = ε0εeff, the effective wave impedance of PPW2 can be given as the ratio of effective permeability μeff and effective permittivity εeff of the medium, i.e., (μeff/εeff)0.5 = b/h(εr)0.5, where εr is the dielectric constant of the non-magnetic material used for PPW1, ε0 and μ0 are representing the permittivity and permeability of free space From this straightforward expression, we can estimate the two limiting cases: (1). The uniform, quasistatic electric field, and magnetic field inside the channel can be utilized for sensing the dielectric and magnetic properties of the test materials

Engineering ENZ or MNZ channels in rectangular waveguides
Design of proposed sensor and numerical analysis
Sample characterization and sensor fabrication
Measurement and results
Relative permittivity
Measurement error analysis
Conclusions
Author contributions
Additional information
Full Text
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