designing of MPA

1. Patch Antenna
Abstract:
A patch antenna was designed for 2.4GHz (ISM) and fabricated. The radiation pattern was measured and comp
the simulation results.
Substrate Details:
1. Er=2.5
2. Thickness = 1.56 mm
Theory & Design:
The top view of the generic rectangular patch is shown below.
For 2.4 GHz and the given substrate, the width of the feeding strip can be calculated (using LineCalc tool of A
impedance of 50 Ohms. This width is Wo = 4.657 mm.
The design equations are listed below.
Design Equations
W = (c/2*fr) (2/(er+1))-0.5
Ereff = (er+1)/2 +[(er-1)/2] [1+ 12*h/W]-0.5
Del L/h = 0.412*[(ereff+0.3)/(ereff-0.258)] [(W/h +0.264)/(W/h + 0.8)]
L = [c/2*fr * (ereff)-0.5] -2*(∆L)
Rin(y=yo)=1/(G1+-G12)
G1=[W/120*λo] [1- (Ko*h)2/24]
Rin (y=yo) = Rin (y=yo) * [cos(π*yo/L)]2
Where
W=width of the patch
L=length of the patch
yo= length of the inset feed

2. h=height of the substrate
Rin=input impedance of the patch seen at a distance of ‘y’ inside the patch from the border.
The results of the calculations are
W=47.245mm
Ereff=2.3847
∆L=0.797mm
L=38.878mm
G1=3.1488
Rin(y=yo)=158.78ohms
Now, to obtain an impedance of 50 ohms, we have to feed at a distance of yo inside the patch from the border. Th
is y0=24.132mm. This completes the design and gives us all the parameters to fabricate the antenna.
Layout:
Using these details the antenna was laid out in ADS Momentum and was simulated. The layout in the simulation
Results:
The results of simulation and fabrication are shown below:

3. Fig. Simulation vs Measurement
The radiation pattern for the antenna is shown below: