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Analysis of Modified Square Sierpinski Gasket fractal microstrip antenna for Wireless communications

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Abstract

In this paper, the slot loaded microstrip antenna has been developed with Sierpinski gasket technique. The proposed Modified Square Sierpinski Gasket (MSSG) fractal antenna involves a square patch utilizing Sierpinski gasket (triangular) structure. Four triangular slots are loaded at each iteration. The structure is then simulated using commercially available Ansoft HFSS simulator. The multi-band operation has been achieved by the proposed antenna at 15.915 GHz, 20.045 GHz, 23.077 GHz, 27.77 GHz frequencies with −20 dB, −25 dB, −22 dB, −28 dB return loss respectively which works well for Ku (12–18 GHz) and K (18–27 GHz) band. The consistent result is obtained after simulation and the validity of fabricated design is checked by the measured result. The designed antenna is an attractive candidate for applications like wireless multi-band communication systems.

Introduction

Microstrip antenna (MSA) is one of the most popular antenna in the wireless communication market [1]. Recently MSAs has got the attention of scientists and researchers due to its attractive features for wireless applications [2]. Some important feature of MSA is low weight, low cost, low profile and conformal. It can easily be integrated with microwave integrated circuits [3]. In order to meet the demand of modern communication systems, the antenna is required to be multiband frequency along with high gain, high bandwidth, good radiation characteristics and compact in size [4]. Multiband antenna can be designed by using various methods such as thick dielectric substrate or slots [5] and notches [6] loaded on a patch or by fractals. When various notches or slots are loaded on the ground plane its known as Defected Ground Structure (DGS) and used for WLAN/WiMAX applications [7]. However, miniaturization of antenna design has always been an issue for wireless communication [8], [9]. Recently fractal techniques have been evolved which uses various fractal geometries to design the radiating element of MSA structure.

The antenna which uses self-similar geometries as radiating structures is known as a fractal antenna. The term ‘Fractal’ is coined by Mandelbrot in 1975[10]. Fractal is defined as a combination of complex self-similar structures that possess an inherent self-similarity in their geometrical shape [11]. The fractal geometries have been introduced to modify the MSA structure by reducing the overall geometrical size & increasing its effective length [12]. Generally, the fractal antenna is a series of combination of slots and notches in the same patch [13]. It is then repeating the predefined structure itself but with reduced dimension in each iteration. Space-filling & self-similarity are two main feature of the fractal antennas [14]. The electrical length of fractal geometries is more than its original shapes while the total surface area of the radiating patch is reduced [15]. The perimeter of the antenna is changed by loading notches and slots. Due to this change multiband and broadband behavior of the antenna is achieved and radiation pattern gets changed [16]. Fractal geometries are uneven shapes which can be separated into sub-parts & every sub-part is a small copy of the overall shape [17]. Various examples of fractal geometries [18] are - Sierpinski gasket (triangle) [19], Sierpinski carpet, Koch curve [20], Minkowski curve, Cohen-Minkowski curve, etc. Some advantages of fractal antennas are miniaturization & space filling, multiband performance, efficiency, and effectiveness, improve gain and improve directivity [21], etc.

The Sierpinski gasket also is known as Sierpinski triangle was named after Polish mathematician who explained its main feature in 1916 [22]. The Multi-resonant frequency behaviors of Sierpinski gasket structure having four iterations are used for Internet of things (IoT) applications [23]. Usually, Sierpinski gasket and Sierpinski carpet exhibit multiple bands operations [23]. The fractal antenna is generally used for wireless communication [24], [25] like satellite and radar applications [26]. The performance of fractal shape monopole antenna is studied and fabricated with metalized foam. Metalized foam is the materials that exhibit low dielectric constant [27]. Similarly, a Sierpinski fractal patch antenna utilizing multiband and miniaturization purpose has been designed and the performance is studied [28].

In this paper, the behavior of modified Sierpinski gasket fractal antenna is discussed and compared by means of experimental and computational results. Modified Square Sierpinski Gasket (MSSG) fractal antenna is analyzed for wireless communications. In MSSG antenna, the self-similarity 45° rotated square Sierpinski gasket geometry exhibits multi-band as well as a wideband application. In Section 2, the designing of the proposed antenna is discussed with theoretical circuit analysis. In Section 3, the concept of MSSG fractal antenna is described. Finally, the measured and simulated results are discussed in Section 4 which shows the multiband behavior of proposed antenna is achieved. The Gain of the proposed antenna is increased by comparing with reference antenna. The difference in Gain (dB) of 2.84 dB, 4.31 dB, 4.76 dB and 5.37 dB is achieved at the resonant frequencies. The parametric analysis of MSSG antenna has been done using HFSS software to optimize the performance at different frequencies.

Section snippets

Antenna design and equivalent circuit

A basic MSA having to radiate metallic patch on the top side of a dielectric substrate (εr10) and Metallic ground plane on the bottom side as shown in Fig. 1(a). The metallic patch (generally copper or gold) can assume any shape, but the rectangular shape is mostly used to simplify analysis and performance prediction of the microstrip antenna. Ideally, the dielectric constant of the substrate should be low (εr2.5), to increase the fringing fields that used for radiation while other

Description of MSSG fractal antenna concept

In this antenna two square metallic plates, one patch and other ground plane covered a square dielectric substrate. A detailed description of antenna dimensions is explained in Table 1. Here initially a square patch of dimension 40 × 40 mm2 is placed on FR4 glass epoxy dielectric substrate having dielectric constant 4.4 and loss tangent 0.02. The iterative analysis of proposed fractal antenna is shown in Fig. 12 where each stage four self-similar slots are loaded in each face of the square

Results and discussion

Fractal antenna generally provides a multiband response of different bandwidth. The proposed MSSG antenna is simulated by Ansoft HFSS software and then verified by fabricated antenna testing results. The simulation results are properly matching with experimental results. The vector network analyzer (VNA) is used for testing of return loss and VSWR while gain and radiation pattern is measured in an anechoic chamber. The variations between the measured and simulated result of the S11 parameter

Conclusion

It is concluded that the designed antenna achieved multiband characteristics utilizing Sierpinski gasket technique. Also, we have seen that fractal technique has an advantage over conventional designing techniques. The result obtained by measurements is in good agreement with the simulated result. The multi-resonant operation has been achieved by the proposed antenna at 15.915 GHz, 20.045 GHz, 23.077 GHz, 27.77 GHz frequencies with −20 dB, −25 dB, −22 dB, −28 dB return loss respectively which

Devesh Tiwari He was born in 1990 in Allahabad, U.P, India. He received the B.Tech. degree in Electronics and Communication Engineering from B.B.S. College of Engineering and Technology, UPTU Lucknow, UP in 2012, the M.Tech. degree in Electronics Engineering from Department of Electronics and Communication, University of Allahabad, Allahabad, India in 2015, and currently pursuing Ph.D. from Department of Electronics and Communication, University of Allahabad, Allahabad, India. His area of

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    Devesh Tiwari He was born in 1990 in Allahabad, U.P, India. He received the B.Tech. degree in Electronics and Communication Engineering from B.B.S. College of Engineering and Technology, UPTU Lucknow, UP in 2012, the M.Tech. degree in Electronics Engineering from Department of Electronics and Communication, University of Allahabad, Allahabad, India in 2015, and currently pursuing Ph.D. from Department of Electronics and Communication, University of Allahabad, Allahabad, India. His area of Research is microstrip antenna, wireless communication systems, etc.

    Jamshed Aslam Ansari He was born in 1966 in Gahmar, Ghazipur, UP, India. He received the B.Sc. and B.Tech. degrees in Electronics and Telecommunications from University of Allahabad, Allahabad, India, the M.Tech. degree in Communication Systems from the Institute of Technology (Now, IIT), Banaras Hindu University (BHU), Varanasi, India, in 1991, and the Ph.D. degree from Mahatma Gandhi Chitrakoot Gramodaya Vishvavidyalaya, Chitrakoot (Satna), India, in 2000. He has published more than 100 papers in different national and international Journals and conference proceedings. His current area of Research is microstrip antenna, millimeter wave, and fiber optics. He is presently working as a Professor with the Department of Electronics and Communication, University of Allahabad.

    Mohd. Gulman Siddiqui He was born in Allahabad, U.P. India, in February 1989. He received B.Tech. in Electronics and Communication from Shambhunath Institute of Engineering and Technology, Allahabad, affiliated to U.P.T.U., U.P., India, in 2011. He completed M.Tech. in Electronics and Communication from Amity School Engineering and Technology, Amity University, Noida, UP, India. He is currently pursuing Ph.D. from Department of Electronics and Communication, J.K. Institute of Applied Physics and Technology, University of Allahabad, Allahabad, UP, India. His research area includes microstrip antenna designing, wireless communication, soft-computing techniques, etc.

    Abhishek Kumar Saroj He was born in Kaushambi, U.P. India, in June 1988. He received B.Tech. degree in Electronics and Communication from BBS College of Engineering and Technology, Allahabad, affiliated to U.P.T.U., U.P., India, in 2010. He completed M.Tech. in Computer Technology from J.K. Institute of Applied Physics and Technology, University of Allahabad, Allahabad, UP, India, in 2015. He is currently pursuing Ph.D. from Department of Electronics and Communication, J.K. Institute of Applied Physics and Technology, University of Allahabad, Allahabad, UP, India. His research area includes microstrip antenna designing, smart antenna, advance wireless communication systems, embedded system design, soft-computing techniques, etc.

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