Study of an Inverted Rectangular Patch Printed on Anisotropic Substrates

Abstract

The resonant frequencies and bandwidths of the inverted rectangular patch over anisotropic substrates are investigated in this paper. A rigorous analysis is performed using dyadic Green’s function formulation in the vector Fourier transform domain. The Galerkin’s technic is then used in the resolution of the integral equation; the complex resonance frequencies for the TM₀₁ mode are studied with sinusoidal basis functions. The numerical results obtained are compared with previously published numerical results computed by means of the electromagnetic simulator “IE3D software”. Good agreement is found in all cases among all sets of results. For an isotropic substrate, it is confirmed that the bandwidth decreases with increasing of air-gap layer for high permittivity and low thickness of the substrate. Also, we show that the resonant frequencies and bandwidths are highly dependent on the permittivity variations alongside the optical axis. Other theoretical results attained display that the resonant frequencies downtrend monotonically with increasing substrate thickness, the diminution being larger for the uniaxial anisotropy of the substrate. Finally, numerical results for the effects of uniaxial anisotropy in the substrate on the radiation of the inverted rectangular microstrip structure are also presented.

KEYWORDS:

• Air-gap layer
• Anisotropic optical materials
• Galerkin approach
• Inverted microstrip antenna

Additional information

Notes on contributors

Sami Bedra

Sami Bedra was born on 3 August 1984 in Khenchela, Algeria. He received the Master Science and PhD degrees in electronics engineering from University of Batna, Algeria, in 2011 and 2015, respectively. Currently, he is an associate professor in the department of Industrial Engineering at Khenchela University, Algeria. He has published 20 papers in refereed journals and more than 15 papers in conference proceedings. He serves as a reviewer for several technical journals. His current research activities include neural network, optimization techniques, and their applications to conducting and superconducting microstrip patch antennas.

Randa Bedra

Randa Bedra was born on 9 September 1989 in Batna, Algeria. She received the Master Science in microwave and telecommunications from University of Batna, Algeria, in 2013. She is currently with the Laboratory of Advanced Electronics at Electronics Department, University of Batna, Batna, Algeria. She is currently working towards PhD degree at the University of Batna. Her main research deals with numerical methods and microstrip antennas. Email: [email protected]

Siham Benkouda

Siham Benkouda was born on 30 August 1983, in Arris, Algeria. She received the Master Science and PhD degrees in electronics engineering from University of Batna, Algeria, in 2008 and 2012, respectively. She is currently with the Laboratory of Ultrahigh Frequencies and Semiconductors at Electronics Department, University of Constantine, Constantine, Algeria. Her main research deals with numerical methods and microstrip antennas. Email: [email protected]

Tarek Fortaki

Tarek Fortaki was born on 31 March 1972, in Constantine, Algeria. He received the engineer of communication degree in 1995, the Master Science degree in microwaves in 1999, and the doctorate degree in microwaves in 2004, all from the Electronics Department, Faculty of Engineering Science, University of Constantine. Currently, he is a professor at the Electronics Department, Faculty of Engineering Science, University of Batna. He has published 40 papers in refereed journals and more than 40 papers in conference proceedings. He serves as a reviewer for several technical journals. His main interests are electromagnetic theory, numerical methods and modeling of antennas and passive microwave circuits. Email: [email protected]