In this article, we will discuss how to understand and visualize correctly the results coming out of a PMUT ultrasonic sensor simulation in the OnScale Post-processing Mode.
Piezoelectric Micromachined Ultrasonic Transducer (PMUT) are MEMS-based piezoelectric ultrasonic transducers. Unlike bulk piezoelectric transducers which are typically thickness mode resonators, PMUTs are based on the flexural motion of a thin film membrane formed on silicon substrates.
PMUTs are a good alternative for conventional bulk piezoelectric transducers because of their high operational frequencies, small element size, low power consumption and ease of fabrication of large array for imaging and communication applications due to their micro electromechanical system (MEMS) silicon-based fabrication.
PMUT can be simulated with OnScale either in full 3D or with a 2D Axi-symmetric model
All the results we will show you afterwards come from the 2D Axi-symmetric model that you can create by following the tutorial available here
Once the PMUT model has been calculated and the results are downloaded on your computer from the cloud, you will need to go in the post-process mode to visualize the results.
Unfortunately, it is not always obvious to understand the results that you get out of such a PMUT simulation.
Check the explanation in video here:
You can download the model used in the video here.
Let’s review the important steps that are mentioned in the video:
The first question you will probably have is “What are the units of the results I am looking at in the post-processing?”
The answer to this question is: “S.I. Units”
While this is not written anywhere, all the results which are displayed are in S.I. Units. So in the case of acoustic pressure for example, the unit is Pa (Pascals), which are basically N.m2.
By default, the colors defined for each time step change dynamically in function of the maximum and minimum value at the current time step.
There are several problems with that:
The best way to correct that is to set up your own “User Defined Range” and fix the maximum and minimum value at values which will allow you to uncover the physics.
In the OnScale post-process, you will find this option in the “Plot Controls” window which is usually located at the bottom left of the screen:
To give you an example, the maximum value displayed in the “red zones” of the maximum acoustic pressure (apmx) generated by the propagation of the acoustic wave into the medium is only visible when the maximum apmx value is set to a value less than 4e44.
Here’s a picture to illustrate:
This is due to the fact that the acoustic pressure inside the PMUT piezo electric material on the left is much higher than anywhere else in the model and that hides the acoustic pressure changes generated by the wave propagation inside the water material.
One of the most useful results you can get from OnScale are “Time History” Results.
Setting up such a Time History result is equivalent to putting a little probe in your model which will monitor a certain type of result that you choose and provide you with the value of that result according to time.
It is important to choose good monitoring points in order to measure the acoustic wave signal and calculate the data that you want to get.
For this PMUT simulation, we chose the following 3 locations:
One of the main applications of ultrasonic sensors in general is to measure the distance to an obstacle.
This distance can be calculated simply by using this very simple formula:
D = v * t
D is the distance between the sensor and the object and it is equal to the velocity v of propagation of the wave inside the medium multiplied by the time it takes to reach the object.
The time it can be easily calculated by measuring the difference between the signal sent at the sensor location and at the obstacle location.
Note that if you are calculating the back and forth of the wave, you might have to divide this value by 2.
As the medium is water, the velocity v of the wave in water is equal to the bulk velocity of water defined into the material properties (1496 m/s at 25 degrees C)
In this example, the distance calculated is equal to 106.6 um
If you define an output data of the type “snapshot” for a specific result such as acoustic pressure, you will get the acoustic pressure field exported at a certain number of time steps.
The time steps are defined as the number of “frames” chosen in the “Runtime graphics” window.
It works like this:
If you chose to output 250 frames in the runtime graphics and your total time is 1e-6 s, then each “frame” will correspond at an interval of 4e-9 seconds.
So, if you are looking at the 24th time step for example, you are looking at the results at t = 24*4e-9 = 1e-8 s
Note that if you only want to get an animation video of your results, you don’t need to set up a snapshot, just choose “AVI” as the output format in the Runtime Graphics menu and you will get an mp4 format video in your output results:
There are various types of result that can be extracted from an OnScale model.
You can either use a review script to do that or you can export the results in text format and process them with python or Matlab.