K-band Waveguide BPF Design using Agilent EMPro Anurag Bhargava Application Consultant Agilent EEsof EDA

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1 K-band Waveguide BPF Design using Agilent EMPro 2013 Anurag Bhargava Application Consultant Agilent EEsof EDA

2 Filter Specifications Center Frequency (Fc): 25 GHz 3dB Bandwidth: 150 MHz Rejection: 40 MHz offset from Fc Insertion Loss: Better than 1 db Return Loss: Better than 10 db

3 Filter Geometry Design Open EMPro and create a new project Go to Edit->Project Properties->Display Units and change the Length unit to mm if it is not already set as mm Click on Parameters icon on the right hand side icon panel and define parameters as shown below

4 Filter Geometry Design Waveguide Design: (Waveguide Selected: WR42) Click on Extrude icon or select Create->Geometry->Extrude To create a waveguide we shall create the base rectangle and then extrude it in Z-direction. Click on rectangle icon and press Tab and enter coordinate as U =0 mm and V =0 mm as shown below and press OK Press Tab again and enter U = mm and V = mm and press OK. Now we should be able to see a rectangle outline with desired dimension. Go to Extrude Tab and enter Extrude Distance as mm (height of waveguide) and click Done

5 Filter Geometry Design Waveguide Design: Use left mouse button to see isometric view of the WR42 waveguide as shown below Now we have to perform Shelling operation on this waveguide so that we can have opening on either side of the waveguide and we can also provide some wall thickness to our WR42 waveguide.

6 Filter Geometry Design Waveguide Design: Click on waveguide in GUI, right click and select Modify->Shell 1 st step is to select both faces of the waveguide which we have to remove, select faces along waveguide as shown below by selecting 1 st face then rotating the waveguide and press CTRL key and select other face as well Go to Specify Thickness tab and enter Shell Thickness = 0.5 mm and click Done Now we should be able to see waveguide with both end open and with wall thickness of 0.5 mm Save the project with name: Kband_BPF_Design

7 Filter Geometry Design Creating Resonators in Waveguide We shall use 3 cylindrical resonators in our filter design, for better visibility of these resonator creation we can set the transparency by clicking % of Change Global Parts Opacity. Set the slider 33% Click on Extrude icon or select Create->Geometry->Extrude. Select Circle and press Tab, enter U = dis, V = mm (center point of 1 st resonator). Press tab again to enter Radius as sr1 (defined as 1.2 mm in parameters) Go to Extrude tab and enter extrude distance as mm and click Done to see a cylindrical post inside the waveguide From the Parts list in Project Workspace Tree, rename Model (default name) to be WG42 and Post1 as shown below

8 Filter Geometry Design Resonators in Waveguide Click on Extrude icon to insert 2 nd cylindrical resonator with parameters as shown here Center: U = dis*2, V = mm Radius: sr2 Click Done and rename it as Post2 Click on Extrude icon to insert 3 rd cylindrical resonator with parameters as shown here Center: U = dis*3, V = mm Radius: sr1 Click Done and rename it as Post3

9 Material Assignment EMPro provides Default Material Library with plenty of material definition included. Users can also define their own material if needed. In the Project Tree, right click on Materials and click on Select from Default Material Library. From the available list, select Copper or Cu and click on Add. Notice that Copper or Cu is now under Material list. Select this material, drag & drop it on each object i.e. WR42, Post 1, 2, 3 & 4 so that this is assigned to all the object and we can see the colour change in our filter geometry.

10 Port Assignment Now as that we have created and assigned the material to our geometry we can create the simulation ports. Right click on Circuit Components/Ports and select New Waveguide Port 1 st step is to select the face on which we want to apply the Port. Click on the Arrow icon and select the face of waveguide Go to the Boundary Extension and uncheck the option Auto extend to simulation domain boundaries Go to Properties tab and select Waveguide Port Definition as 1W Modal Power Feed Go to Impedance Lines and click on Arrow under Endpoint 2 (+) Parameterized Position Select midpoint on upper edge of waveguide face Click on Arrow under Endpoint 1 (-) and click on midpoint of lower edge of waveguide face. Once done it will similar to the one shown below (provided you are referring to input side (near origin side of filter) Click on Done Rotate the waveguide and assign Port2 on the other side using the procedure defined here.

11 Port Assignment Once Ports are defined properly filter would look similar to one shown below. Note Port location in the snapshot below and make sure the Arrow direction on both ports are same in your design.

12 FEM Padding FEM padding sets the boundary of a simulation domain. It specifies the area that is meshed and solved during a simulation. The FEM padding value should be large enough to avoid any interactions between the object and boundary. However, it should not be too large to avoid long time to mesh and solve. It should be zero in the direction where we use waveguide ports For our case, we don t need padding in any direction because all of the energy will be enclosed in the waveguide and it is a non-radiating structure. Double click on FEM Padding and select Custom and define 0 mm padding in all directions of the structure.

13 FEM Simulation Setup Change the simulation type to FEM Simulation Click on the spanner icon i.e. Edit Simulation Setup Define frequency range as 24 GHz 26 GHz with 51 points Under Mesh Refinement, define following deltaerror = 0.01 Consecutive Passes of delta error = 2 Minimum number of adaptive passes = 3 Maximum number of adaptive passes = 15 Under Solver tab, select Direct Solver Click on Create and Queue Simulation

14 Filter Simulation Results Click on Results button Select Domain = Frequency, Result Type = S-Parameters Select S21 and S11, right click and select Create Line Graph. Click on View

15 Filter Simulation Results

16 Filter Simulation Results We can notice that Filter passband is slightly offset on higher side We can modify the resonator dimension slightly to center the response at 25 GHz Alternatively we can also employ tuning screws in between resonator rods to obtain higher level of tuning if required In our present case we shall first perform a simple parametric sweep on center resonator s radius to observe the frequency shift

17 Parametric FEM Sweep Click on Tools->Add-Ons->Simple Parameter Sweep From the pop up window, select Parameter = sr2 (remember sr2 is the radius of center resonator rod) Enter Start = 2 mm, Stop = 2.1 mm and Step = 0.05 mm Click on Create & Queue Simulations Click on Simulations icon and see that 3 simulations have been added to our list and EMPro will perform these simulations one by one as shown below

18 FEM Parametric Simulation Once all the simulations are performed, click on Results icon, select Simulation Ids 2, 3 and 4 by pressing SHIFT key and left mouse click so that all results appear in the list Select S21 of all simulation run by pressing CTRL key and left mouse button Right click and select Create line graph to see Parametric results as shown in next snapshot

19 FEM Parametric Simulation

20 FEM Parametric Simulation Observations: Filter response is very sensitive to resonator radius. While we try to center the response by varying the resonator radius dimension but it might be very difficult to control considering manufacturing tolerance in mind It might be necessary to keep tuning screws to adjust the final assembly performance if necessary For this case study we shall adjust the center resonator radius to 2.09 mm and perform the simulation again

21 FEM Simulation with sr2=2.095 mm Click on Parameters icon and modify the sr2 parameter = mm and run the simulation again to plot S21 and S11 as shown below

22 Resources 1. Agilent EEsof: 2. Agilent EMPro: 3. Agilent Knowledge Center: 4. Agilent EEsof on You Tube:

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