Novel substrate integrated waveguide cavity-based unified multiband permittivity and permeability estimation approach

Abstract

A novel approach of multiband real permittivity and permeability estimation of the magnetic composites using a modified under coupled multimodal (TE10p) substrate integrated waveguide (SIW) cavity is presented. The proposed schemes allow the accurate wideband microwave characterization of the magneto-dielectric composites by using the higher-order modes of the designed SIW cavity. The analytical closed-form modified formulation is developed to calculate the permittivity and permeability over the wide frequency range, 10–20 GHz. Consequently, a unified empirical formulation is also developed, which can be used to generate the approximate prior values of multimodal permittivity and permeability for the synthesized magnetic composites, which is usually not known in advance. The proposed analytical and empirical approaches are validated numerically and experimentally, corresponding to various test samples. The estimated parameters using the proposed analytical approach are found to be in quite close agreement, error <5%, with the corresponding reference values and empirically generated values.

KEYWORDS:

• Multimodal under-coupled cavity
• substrate integrated waveguide (SIW) cavity
• permittivity
• permeability

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Nilesh K. Tiwari

Nilesh K. Tiwari is pursuing PhD at the Department of EE, IIT Kanpur, India.

S. P. Singh

S. P. Singh is with the Department of EE, IIT Kanpur, India and he is also with the Department of EC, IIIT Bhubaneswar, India.

M. Jaleel Akhtar

M. Jaleel Akhtar joined the Department of Electrical Engineering, IIT Kanpur, Kanpur, India, in 2009, where he is currently a Professor. He has authored or co-authored over 200 papers in various peer-reviewed international journals and conference proceedings.