Exhaustive research has been carried out to develop the bandwidth-enhancement techniques by keeping the size of the patch antenna as small as possible. In recent years, with the wider applications of microstrip antennas, many researchers had found many methods, which can improve the bandwidth. The coaxial feed technique is used for the analysis of this antenna because it occupies less space and has low spurious radiation by using Teflon connector. The method of moment (MOM) is used to discuss the electromagnetic radiation characteristics of the microstrip antenna. The simulator tool computes most of the useful quantities of interest such as radiation pattern, input impedance, etc.  . Microstrip Patch Antennas (MPA) is one of the promising candidates and has been found extensive applications in satellite communication application systems due to their advantages such as low profile, low-cost fabrication and ease of integration with feed network  . However, narrow bandwidth and low gain are the major weakness of the patch antenna. The recent technologies used to improve the performance of the MPA include the reactive loading  , aperture coupling  , increasing the substrate thickness  , using more than one layer of resonator    , and proximity feeding techniques   . Simultaneously, the MPA needs to have small and compact configuration to accomplish the severe size constraints of some critical application such as mobile, Vehicle, cellular handsets, Bluetooth devices etc.
In this paper, the design of X-band and Ku band E-shape notch and H-shape slot loaded rectangular patch antenna at single layer with Co-axial feeding technique has been proposed. The H shape-cutting slot is chosen such that proposed antenna reduced the size and exhibit the wide bandwidth characteristics. Further, the variation of return loss for H shape horizontal side stripes length (Wn) and vertical length (W2) has studied to obtain the maximum bandwidth. Simultaneously, the variation of return lost for parallel notch length (Ls) and notch width (Ws). Radiation pattern characteristics and the gain of the proposed antenna are also calculated. This antenna has improved the bandwidth and gain with reduced the size which are the advantages over the earlier reported paper  . In this paper, mainly I have used compact and reduced size of antenna, which results, is best in comparisons to previously published papers by using the method of reducing the size of the antenna by co-axial feeding technique. It is an extended work of published paper  . The proposed antenna can be used in wireless communication, satellite communication and for X, Ku band application.
2. Antenna Design and Structure
a) Parallel notch and H-slot loaded rectangular microstrip patch antenna
The proposed configuration of the antenna is shown in Figure 1. The antenna design consists of a single layer of thickness of 1.6 mm. The dielectric materials Rogers R03003’s dielectric constant is 3.0. The H-shape slot loaded, E-shaped antenna is formed by inserting  the coordinate or by removing the inserted points from the rectangular patch of suitable dimension. Two parallel notches in rectangular patch, two vertical slots and one horizontal slot in H-shape are incorporated inside the rectangular patch antenna to perturb the surface current path. The probe is feed at point (−8.925, 2.125) as shown in Figure 1. The fabricated PCB antenna can be shown in Figure 1(b).
Figure 1. (a) Top view and (b) Prototype antenna (c) Side view geometry of the proposed antenna.
The E-shaped is simpler in construction. The two parallel notches have the same length Ls and same width Ws. The separation   of the two notches is W1. There are thus only three parameters (Ls, Ws, W1) for the notches used here. Similarly, the H-shape slot is simpler in cut in same patch. The two vertical slots have the same length W2, same side stripes width Wn and one horizontal slot length L2. The separation  of the two slots is d. In this way, the four parameters are obtained in H-shape, i.e., W2, Wn, and L2, d. A probe feeds a point (−8.925, 2.125) located for good excitation of the proposed antenna over a wide bandwidth. The current distribution of the proposed antenna is given in Figure 2.
b) Design Equation
Because of the fringing effects, electrically the patch of the antenna looks larger than its physical dimensions the enlargement on L is given by  :
where the effective (relative) permittivity is,
This is related to the ratio of h/W. The larger the h/W, the smaller the effective permittivity   is. The effective length of the patch is given by:
The resonant frequency for the TM100 mode is:
An optimized width for an efficient radiator is,
c) Design Procedure
If the substrate parameter ( and h) and the operating frequency ( ) are known then we can easily calculate the dimensions of the patch antenna using above simplified equation following design procedure to design the antenna:
Step 1: Using Equation (6) to find out the patch width W.
Step 2: Calculate the effective permittivity using the Equation (2)
Figure 2. Current distribution at centre frequency (13.25 GHz) of the designed antenna.
Step 3: Compute the extension of the length using the Equation (1)
Step 4: Determine the length L by solving the equation for L giving the solution.
From Equation (6), (fr) is the resonance frequency at which the rectangular microstrip antenna is to be designed. The radiating edge W, patch width is usually kept such that it lies within the range for efficient radiation. The ratio gives good performance according to the side lobe appearances. The actual value of resonance frequency is slightly less than because fringing effect causes the effective distance between the radiating edges of the patch to be slightly greater than L. By using the above equations, we can find the values of actual length of the patch as:
Whole dimensions of the prescribed Antenna are given in Table 1.
The most sensitive parameters are found to be the thickness of substrate, shape and size of slots; notches are selected for the parametric study. To accurately understand the influence of these parameters on its impedance bandwidth, only one parameter at a time was varied, while others were kept constant.
3. Results and Discussion
We first show simulation results to illustrate the main features of the method.
The microstrip patch antenna structure is studied and simulated by using IE3D simulation software which is MOM (Method of Moment) based simulation software. As part of the simulation, it is observed that the return loss of the microstrip patch antenna is almost −25 dB, which is quite good when compared to normal antenna structures. Different simulated results are seen by using the
Table 1. Optimized dimensions of the Antenna (Unit: mm)
IE3D results like the return loss, radiation pattern, VSWR, and gain vs. frequency.
Figure 3, it is observed from the analysis of the return loss versus frequency that, the return loss of the designed microstrip patch antenna is −20 dB at the frequency of 13.16 GHz with a frequency band 11.0 GHz to 15.0 GHz, when the substrate height will increases up to from 1.6 mm to 2.0 mm, which result shown in Figure 4, it is observed from the analysis of the return loss versus frequency that, the return loss of the designed microstrip patch antenna is near about −25 dB at the frequency of 13.25 GHz with a frequency band 10.60 GHz to 15.91 GHz. Similar configuration in terms of VSWR versus frequency of the designed
Figure 3. Comparative plot between Return loss and Frequency of the proposed antenna the substrate height at 1.6 mm.
Figure 4. Comparative plot between Return loss and Frequency of the proposed antenna the substrate height at 2.0 mm.
antenna is shown in (Figure 5 & Figure 6), Which shows that it is very useful for the vehicle antennas and it comes in range of X and Ku band which is used in satellite communications. It shows the impedance bandwidth of 40.01% enhancement, which is quite justifiable.
The antenna gain over the BW is shown in Figure 7. The antenna shows a gain of more than 7 dBi over the BW with peak gain of more than 9 dBi.
The above study shows the influence of size and shape of notches, slots and thickness of substrate on the impedance bandwidth. Wideband and UWB can
Figure 5. Comparative plot between VSWR and Frequency of the proposed antenna the substrate height at 1.6 mm.
Figure 6. Comparative plot between VSWR and Frequency of the proposed antenna the substrate height at 2.0 mm.
Figure 7. Gain versus frequency of the proposed antenna.
be easily achieved with monopole antenna using thick substrate and microstrip line-fed technique. However, our proposed antenna provides a wideband (10.60 - 15.91 GHz) with a thin microwave substrate and using coaxial probe-fed technique without monopole concept. At the same time gain of the antenna is also, high (9.2 dBi). Here lays the novelty of the research work.
The main concern of the paper is to study the wideband and high gain with simple and reduced size patch antenna. Initially, the single element rectangular microstrip antenna is designed to operate at frequency 13.25 GHz. This antenna structure provides a good amount of gain and the directivity along with that, this antenna structure works in two frequency bands as shown in the return loss and VSWR curve and provides good bandwidth. Present antenna is designed to meet the requirement for wide bandwidth with compact size. The proposed antenna is working in X and Ku- frequency band and can be used for satellite and RADAR communication system where simple wideband high gain antennas are desired.