Simulating Waveguides and Antennas in HFSS: A Practical Approach
Posted on Feb 4, 2025 in Cultural Communication
Simulating Rectangular Waveguides in HFSS
- Create a new project in the HFSS terminal.
- On the project menu, click Insert HFSS Design.
- On the HFSS menu, click Solution Type and select Modal.
- On the HFSS menu, click Draw and select Box.
- Specify the coordinates and dimensions in the properties window as (0, 0, 0), x=100mm, y= 62.5mm, z= 31.25mm.
- Assign the material to the object as air or vacuum by right-clicking on the 3D model.
- On the HFSS menu, click Boundaries, select Assign, and choose Finite Conductivity to the four faces, excluding Port 1 and Port 2.
- Select the object face to which you want to assign the port. Click HFSS > Excitation > Wave Port.
- Define the integration line.
- On the HFSS menu, point to Analysis Setup and then click Add Solution Setup.
- Enter the solution frequency.
- Click the HFSS menu, select Analysis Setup, and then select Add Sweep.
- Enter the start and stop frequency.
- Validate the model by clicking Validate Checks.
- To analyze, on the HFSS menu, click Analyze.
- HFSS > Results > Create Report.
- On the solution list, click the solution containing the data you want to plot.
- Click on New Report.
Microstrip Simulation Steps in HFSS
- Create a new project in the HFSS terminal. On the project menu, insert an HFSS design.
-
Creating the Substrate:
- Select the Draw Box button.
- Define the dimensions and location of the box.
- Define the material for the box as FR4-epoxy.
-
Creating the Ground Plane:
- Draw an arbitrary-sized box or draw a rectangle.
- Fill in the location and dimensions.
- Assign it as PEC (Perfect Electric Conductor).
-
Creating the Strip:
- Create another box or draw a rectangle with W = 3mm.
- Fill in the location and dimensions.
- Assign it as PEC.
- Draw a rectangle, fill in the position and dimensions, and define it as Port 1.
- Draw another rectangle, fill in the position and dimensions, and define it as Port 2.
- Click on the rectangles, then Assign Excitation, and finally Wave Port.
- Draw a radiation box and change the material to air.
- Click on HFSS > Analysis Setup > Add Solution Setup.
- Click on HFSS > Analysis Setup > Add Frequency Sweep.
- Click on HFSS > Validation Check.
- Click on HFSS > Analyze All.
- Click on HFSS > Results > Create S12 or S21 Report.
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)
Microstrip Patch Antenna Design in HFSS
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Designing the Microstrip Patch:
- Draw the substrate with dimensions 15 x 15 x 1.588mm and assign the material (εr = 2.2).
- Draw the rectangular patch on the top face of the substrate with dimensions L=9.06mm, W=11.86mm.
- Draw a rectangle of width 3mm and name it the feed line.
- Unite the patch with the feed line.
- Draw an Airbox starting from the bottom of the substrate with the same length and width.
- Draw an Airbox below the substrate as well.
- Draw a rectangle on the XZ plane to define a wave port.
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Assigning Boundaries and Excitations:
- Select the bottom face of the substrate and assign the PEC boundary to it.
- Assign a Radiation Boundary to the top and bottom of the air boxes.
- Assign the PEC boundary to the patch and the feed line.
- Assign Wave Port Excitation to the rectangle on the XZ plane.
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Solution Setup:
- Set up an adaptive solution at 10GHz.
- Set up a sweep solution from 7-13 GHz with a step size of 0.25 GHz.
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Analyzing the Results:
- Click HFSS > Validation Check.
- Click HFSS > Analyze All.
- Click HFSS > Results > Create Report.
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)