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Condenser Microphone

R2026b

Model of condenser microphone with back plate and diaphragm

Since R2026b

  • Condenser Microphone block

Libraries:
Simscape Acoustics / Applications / Microphones

Description

Add-On Required: This feature requires the Simscape Acoustics add-on.

This block models the acoustic, mechanical, and electrical elements of a conventional condenser microphone. The block has acoustic conserving ports for the front of the microphone and inside of the microphone cavity, and electrical conserving ports for the electrical signal generated by the interaction of the moving diaphragm and back plate.

The Condenser Microphone block models the physical properties of a condenser microphone by implementing an equivalent circuit using Simscape™ blocks from the electrical, mechanical translational, and acoustic domains. The equivalent circuit is based on two lumped-element models [1][2]. The block sets the default property values based on the reference [1]. The figure shows the equivalent circuit using the following Simscape blocks in each domain:

  • Acoustic: The Condenser Microphone block models the radiation impedance at the front of the diaphragm as a Spherical Source Radiation Impedance block. The block models the compliance of air in the chamber using an Acoustic Compliance block. The acoustic impedance of the back plate holes is modeled using a Small Cylindrical Orifice or Tube block. You can model the radiation impedance of the rear vent as either a Small Rectangular Slot block or a Small Cylindrical Orifice or Tube block.

  • Mechanical Translational: The Condenser Microphone block models the total mass of the moving diaphragm as a mass-spring-damper system. The block uses a Mass (Simscape) block, a Translational Spring (Simscape), and a Translational Damper (Simscape) block, respectively.

  • Transducers: Changes in acoustic pressure move the microphone diaphragm. The Condenser Microphone block models this interaction using a Mechanical to Acoustic Converter block. The diaphragm and back plate form a parallel-plate capacitor that generates an electrical signal as the diaphragm moves. The block models this interaction using a Variable Gap Capacitor (Simscape) block.

Equivalent circuit to the Condenser Microphone as a Simscape model.

Examples

Ports

Conserving

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Acoustic conserving port associated with the front of the microphone diaphragm.

Acoustic conserving port associated with the rear cavity of the microphone.

Electrical conserving port associated with the positive terminal of the microphone.

Electrical conserving port associated with the negative terminal of the microphone.

Parameters

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Microphone Diaphragm

Radius of the microphone diaphragm.

Mass of the moving diaphragm.

Mechanical stiffness of the microphone diaphragm.

Mechanical damping of the microphone diaphragm.

Height of the air gap between the microphone diaphragm and the back plate.

Microphone Back Plate

Radius of the perforated back plate.

Radius of the holes in the back plate.

Length or thickness of the holes in the back plate.

Number of holes in the back plate.

Microphone Rear Cavity

Volume of the rear acoustic cavity behind the back plate.

Type of rear vent geometry. Select Rectangular Slot to model the rear vent as a rectangular slot. Select Cylindrical Tube to model the rear vent as a cylindrical tube.

Length or thickness of the rear vent.

Radius of the cylindrical rear vent.

Dependencies

To enable this parameter, set Rear vent type to Cylindrical Tube.

Width of the rectangular rear vent slot.

Dependencies

To enable this parameter, set Rear vent type to Rectangular Slot.

Height of the rectangular rear vent slot.

Dependencies

To enable this parameter, set Rear vent type to Rectangular Slot.

Number of rear vents.

References

[1] Esteves, Josué, Libor Rufer, Didace Ekeom, and Skandar Basrour. “Lumped-Parameters Equivalent Circuit for Condenser Microphones Modeling.” The Journal of the Acoustical Society of America 142, no. 4 (2017): 2121–32. https://doi.org/10.1121/1.5006905.

[2] Zuckerwar, Allan J. “Theoretical Response of Condenser Microphones.” The Journal of the Acoustical Society of America 64, no. 5 (1978): 1278–85. https://doi.org/10.1121/1.382112.

Version History

Introduced in R2026b