This is a model of a condenser microphone with a simple axisymmetric geometry. The model aims to give a precise description of the physical working principles of such a microphone. The condenser microphone is considered to be the microphone with highest quality when performing precise acoustical measurements and with high-fidelity reproduction properties when performing sound recordings. This electro-mechanical acoustic transducer works by transforming the mechanical deformation of a thin membrane (diaphragm) into an AC voltage signal.

The combination of COMSOL products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the Specification Chart and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.


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The Microphone Calibration Workstation Model 9350C is an automated, accurate, turnkey, PC-based system offering cost-effective calibration of 1/8 in,  in,  in, and 1 in condenser microphone cartridges (open-circuit sensitivity), condenser microphone cartridges with preamplifiers (closed-circuit sensitivity), as well as microphone Frequency Response Function. In addition, the system provides for conformance testing of microphone preamplifiers and acoustic calibrators: this includes pistonphones as well as speakerphone-based calibrators.

I've been trying to setup my laptop's internal microphone for a couple

of days. In case this is relevant: I had to add the kernel parameter

`snd_nd-intel-dspcfg.dsp_driver=1` for audio output to work.

I tested using `arecord`, then `aplay`.

Apparently, I needed to install firmware to make snd-audio-pci to work,

so that is what I did. Now audio works fine without

`snd_nd-intel-dspcfg.dsp_driver=1` and I get a lot of microphone input,

but they all provide static.

Use cat /proc/asound/card0/codec# | grep Codec to find out what the audio codec is and enter in this website to find out what the configuration is (alc255-acer, in my case). After knowing the configuration, enter the command: options snd-hda-intel model=alc255-acer in the file: /etc/modprobe.d/alsa-base.conf and restart the PC. However, it didn't work!

A MEMS microphone is a condenser microphone that comprises a MEMS die and a complementary metal-oxide-semiconductor (CMOS) die combined in an acoustic housing. The CMOS often includes both a preamplifier as well as an analog-to-digital (AD) converter. Because of this and the small size of the microphone, it is well suited for integration in digital mobile devices, smart phones, headsets, and hearing aids. The housing with the acoustic port is depicted in the image above. The condenser or variable capacitor consists of a highly compliant diaphragm in close proximity to a perforated, rigid backplate. The perforations permit the air between the diaphragm and backplate to escape. The diaphragm and backplate pair is referred to as the motor (shown in the figure farther down below). The microphone works by first polarizing (charging) the condenser with a DC voltage. This voltage will also result in a static deformation and tensioning of the diaphragm, and, to a much less extent, the backplate. When an acoustic signal reaches the diaphragm through the acoustic port, the diaphragm is set in motion. This mechanical deformation in turn results in an AC voltage across the microphone. These effects combine to provide a real multiphysics problem well suited for analysis in COMSOL Multiphysics. The sensitivity of a microphone is expressed as the ratio of the incident pressure to the measured voltage on the dB scale.

The MEMS microphone model includes a description of the electrical, mechanical, and acoustical properties of the transducer. The acoustic description includes thermal and viscous losses explicitly solving the linearized continuity, Navier-Stokes, and energy equations, that is, thermoacoustics. The mechanics of the diaphragm were also modeled including electrostatic attraction forces and acoustic loads, or electromechanics. A submodel was also implemented to analyze the interplay between the vibrating diaphragm and the small perforations in the microphone backplate. The model had no free-fitting parameters and it resulted in the prediction of the static mechanical behavior of the MEMS motor (the diaphragm and backplate system) as well as the dynamic frequency response. The model results showed good agreement with measured data.

Because the geometrical dimensions are so small in this system, the vibrations of the diaphragm will be highly damped by the air. The air and acoustics need to be treated including both thermal conduction and viscous losses. The viscous penetration depth (thickness of the acoustic viscous boundary layer) is, for example, 55 m at 100 Hz and 5.5 m at 10 kHz, which is larger than or comparable to the distance between the backplate and diaphragm, which is only 4 m. The Thermoacoustics interface of the Acoustics Module is the natural first choice for modeling these effects. This interface will also result in the correct modeling of the transition from adiabatic to isothermal behavior at low frequencies. The complex combined mechanics and electrostatics effects are all included in the Electromechanics interface of the MEMS Module. The two physics are fully coupled at the fluid-structure boundary by requiring continuity in the displacement/velocity field.

A classical condenser microphone, like the B&K 4134 from the Model Gallery, in essence works the same way as the MEMS microphone and involves solving the same physics. Modeling it, however, involves some specific challenges as mentioned above. They are primarily due to the complex fabrication involved and lie in describing the initial static state and the complexity of the geometry.


Sketch of the MEMS microphone motor (not to scale). The diaphragm has a thickness of 1 m, the gap between the backplate and the diaphragm is 4 m, the diameter of the perforations in the backplate is 10 m, and the thickness of the backplate is 2 m. The distance across the motor from support post to support post is 590 m. Sketch courtesy of Knowles Electronics.

As a first step when planning the modeling process, we decided to focus on validating the initial stationary description of the model. One direct measurement of the stationary shape of the microphone is achieved by measuring the DC capacitance as a function of the polarization voltage. The measurements are compared to the model results in the figure below. As you can see, the two curves show good agreement. At about 15.8 V, the measured curve is seen to jump. This corresponds with the point where the diaphragm bends so much due to the electrostatic forces that it touches the backplate.


Simulation results of the microphone static capacitance as a function of the DC polarization voltage. The green curve represents measurements and the blue curve the modeled capacitance including a constant offset accounting for the constant parasitic capacitance present when performing measurements (0.23 pF). Measurements courtesy of Knowles Electronics.

The electric potential in slices through a 30 degree cut-out of the microphone motor is depicted in the image below. The field is seen to have very strong gradients in the region where the electrodes are located, while it drops off outside of this region. The holes in the backplate are clearly seen to influence the field. The full dynamic behavior of the microphone was also analyzed solving for the structural displacement, the electric field, and the thermoacoustic fields (pressure, velocity, and temperature) in the frequency domain. This is a fully coupled multiphysics model in a complex geometry and therefore required up to 60 GB of RAM to solve. The resulting sensitivity also showed good agreement with measurements.

Question/Issue: I am unable to collect microphone data samples through my arduino nano rp2040 connect board: I flashed the rp2040 firmware to the board, and used daemon to connect the board to edge impulse. For the inertial sensor, data is collected just fine. However, when I try to use the on-board microphone, the waveform is blank as data is not being collected from the microphone.

The Arduino Nano RP2040 is not an officially supported board. As such, we do not support the microphone for that board out of the box. Our firmware is built for the Raspberry Pi Pico with some external sensors, which you can read about here: Raspberry Pi RP2040 - Edge Impulse Documentation

To feed the model with audio data, you will need to buffer slices of raw audio and call run_classifier_continuous() from the Edge Impulse C++ library. This can be tricky, as it often involves setting up DMA and double buffers. I have an example of doing this with a Wio Terminal in Arduino here: -keyword-spotting/blob/a738973eb63f0818f2e0d420b05bfffe5dde06bb/embedded-demos/arduino/wio-terminal/wio-terminal.ino.

Oh, that worked for me on my Arduino RP2040! I honestly did not know we officially supported the microphone on the Arduino RP2040. Do you have Chrome? Can you try using WebUSB (as shown here: -sensor-data-straight-from-your-web-browser) instead of going through the CLI tool to see if that works?

So yes, you get a great mic, but where this whole "system" business gets really interesting is when you track or mix with the Sphere plug-in. The plug-in (the Townsend Labs folks have a patent for the Sphere process!) is included as part of the purchase, and if you use one of Universal Audio's UAD interfaces, Townsend Labs offer a voucher to add the plug-in to your users' UA account. At the time of writing, the plug-in included 20 mic models: Neumanns (U 47, two U 67s, two U 87s, and an M 49), AKGs (C12, four 414s, C451), a Telefunken ELA M 251, a Sony C-800, a Coles 4038, a Shure SM57 and SM7, and two RCA 77-DXs. Sphere v1.4 adds ten more: a German bottle mic model with three capsule options, a commissioned model of the Soyuz 017, two models of the Sennheiser MD 409, three models of the MD 421, one MKH-416, and two AKG D12s. When loading an instance of the plug-in, you choose either stereo-mono or stereo-stereo plug-in widths; this is because of both outputs on the mic being captured by a stereo track from which the plug-in can derive all possible polar patterns on a given model. The mono output instance of the plug-in opens with the modeled mic on the left side of the UI (a U 47 by default). There's a central column where the pattern is chosen (with patterns present in the original mic glowing a light-blue), a three position high-pass filter, a knob to adjust the amount of off-axis positioning you'd like the mic to have (after the recording!), and a bi-direction Proximity control to increase/decrease the proximity effect of the model on the recording. On the right half of the UI, there's a large blue-green polar-pattern display that updates according to the chosen pattern, and a live-updating yellow trace that shows the direction and amplitude of the signal. Underneath this display are a polarity switch and a Rev button that swaps the front and rear capsule. Clicking the Dual view button on the bottom of the UI opens a second mic model on the right-hand side of the plug-in, and now you can blend a second model with the first while adjusting its alignment independently. Want an AKG C12A and a Neumann U 67 on a vocalist at the same time? Now it's easy! ff782bc1db

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