• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
  • Skip to footer

Analog IC Tips

Analog IC Design, Products, Tools Layout

  • Products
    • Amplifiers
    • Clocks & Timing
    • Data Converters
    • EMI/RFI
    • Interface & Isolation
    • MEMS & Sensors
  • Applications
    • Audio
    • Automotive/Transportation
    • Industrial
    • IoT
    • Medical
    • Telecommunications
    • Wireless
  • Learn
    • eBooks / Tech Tips
    • FAQs
    • EE Learning Center
    • EE Training Days
    • Tech Toolboxes
    • Webinars & Digital Events
  • Resources
    • Design Guide Library
    • Digital Issues
    • Engineering Diversity & Inclusion
    • LEAP Awards
    • Podcasts
    • White Papers
  • Video
    • EE Videos
    • Teardown Videos
  • EE Forums
    • EDABoard.com
    • Electro-Tech-Online.com
  • Engineering Training Days
  • Advertise
  • Subscribe

Audio filters: Understanding acoustic waves – Part 2

July 22, 2021 By WTWH Editor Leave a Comment

In the previous tutorial, sound waves and their properties were discussed. Now, let’s learn about acoustic waves.

Sound waves typically refer to frequencies that are audible to humans, which are in the 20 Hz to 20 kHz range. However, waves with frequencies that are greater than 20 kHz are ultrasonic waves. And, those in the gigahertz (or higher) range are called hypersonic waves.

Generally, the term “acoustic wave” is used in reference to a sound or vibration of any frequency. This makes sense because in physics, acoustics is the study of any mechanical wave in the solid, liquid, or gaseous medium. These are longitudinal waves, which move in the same direction of vibration as their direction of travel. The source of these waves is the vibration produced in any medium or sound source.

Since sound waves are also generated by the vibration from a medium, it follows that acoustic waves are a type of sound waves that travel on a surface, liquid, or in a gaseous medium.

Here are a few depictions…

 

Acoustic waves in the air
Acoustic waves in the air

 

Acoustic waves in the water
Acoustic waves in the water

 

Acoustic waves on the surface
Acoustic waves on the surface

By studying sound as an acoustic wave, we can better understand its mechanical properties.

Acoustic waves are characterized by the following physical properties…

  1. Acoustic or sound pressure
  2. Particle velocity
  3. Acoustic or sound intensity
  4. Particle displacement

Let’s review each one…

Acoustic or sound pressure
The pressure that’s generated by any surrounding sound waves. Sound pressure is the deviation in the equilibrium atmospheric pressure due to a sound wave and it’s measured in pascal (Pa) or N/m2.

When a sound wave travels through a medium, it creates a disturbance in that medium’s pressure — increasing its total pressure.

This is expressed by an equation:

Ptotal = P1 +Ps

Where…

Ptotal = Total pressure in the medium
P1 = Pressure generated by the sound wave
Ps = Static or equilibrium pressure

The increase of pressure can be measured by using a microphone in an air medium or a hydrophone in the water.

Particle velocity
The velocity of a wave particle in a particular medium, which is measured in m/s. Imagine that a sound wave is traveling through a liquid medium. In this case, the particle velocity is the velocity of the liquid as the sound wave causes the particles to move back and forth per the vibration in the wave.

However, the particle velocity is not the same for the liquid and the sound wave. A sound wave travels much faster than a particle in this medium.

The particle velocity can be calculated using this equation:

v = dδ/dt

Where…

v = Particle velocity
δ = Particle displacement

Acoustic or sound intensity
Together, the sound pressure and the particle velocity make up the sound intensity. It’s defined as the power transfer per unit area. This area is always perpendicular to the energy that’s transferred.

Therefore, the sound intensity is the power that’s transferred by a sound wave per unit area, and it’s measured in watt per square meter or W/m2.

The sound intensity can be calculated as follows:

Sound intensity, I = p*v

Where…

p = Sound pressure
v = Particle velocity

Particle displacement
The displacement of a particle from its original position is called when sound travels through a medium. Particle displacement is measured in meters.

When a sound wave travels through the air, the particles in the air experience displacement, depending on the particle velocity. Displacement can either occur in the direction of the sound wave or opposite to it.

Particle displacement is calculated by this equation:

V = dδ/dtδ

Where…

v = Particle velocity
dt = Time period

A basic understanding of these mechanical properties of sound is useful when working with audio transducers. The most common audio input transducer is a microphone and the most common audio output transducer is a speaker.

In the next tutorial, we’ll take a look at microphones, including how they work and how they’re classified. 

 

You may also like:

  • sound waves
    Audio filters: Understanding sound waves – Part 1

  • Basics of audio filters

  • Sound design considerations for Class D amps
  • class D amplifiers
    Class D audio – Why now?
  • active noise cancellation
    Active noise cancellation, Part 2: Implementation

Filed Under: audio, FAQ, Featured, filters, Products Tagged With: FAQ

Reader Interactions

Leave a Reply Cancel reply

You must be logged in to post a comment.

Primary Sidebar

Featured Contributions

Design a circuit for ultra-low power sensor applications

Active baluns bridge the microwave and digital worlds

Managing design complexity and global collaboration with IP-centric design

PCB design best practices for ECAD/MCAD collaboration

Open RAN networks pass the time

More Featured Contributions

EE TECH TOOLBOX

“ee
Tech Toolbox: Connectivity
AI and high-performance computing demand interconnects that can handle massive data throughput without bottlenecks. This Tech Toolbox explores the connector technologies enabling ML systems, from high-speed board-to-board and PCIe interfaces to in-package optical interconnects and twin-axial assemblies.

EE LEARNING CENTER

EE Learning Center
“analog
EXPAND YOUR KNOWLEDGE AND STAY CONNECTED
Get the latest info on technologies, tools and strategies for EE professionals.

EE ENGINEERING TRAINING DAYS

engineering

RSS Current EDABoard.com discussions

  • Charge Pump Design for a 'DC' type Output
  • problem with Stb simulation for an integrator
  • Why spread inductor turns across the bobbin?
  • tv crt glass
  • 9V~36V 200W output isolated DCDC converter from PFC 400V, which topology will you choose?

RSS Current Electro-Tech-Online.com Discussions

  • Steering angle sensor question
  • Sine wave distortion
  • Variable audio oscillator
  • potenciometer attachment / screwdriver
  • flexible copper cable
“bills

Footer

Analog IC Tips

EE WORLD ONLINE NETWORK

  • 5G Technology World
  • EE World Online
  • Engineers Garage
  • Battery Power Tips
  • Connector Tips
  • EDA Board Forums
  • Electro Tech Online Forums
  • EV Engineering
  • Microcontroller Tips
  • Power Electronic Tips
  • Sensor Tips
  • Test and Measurement Tips

ANALOG IC TIPS

  • Subscribe to our newsletter
  • Advertise with us
  • Contact us
  • About us

Copyright © 2026 · WTWH Media LLC and its licensors. All rights reserved.
The material on this site may not be reproduced, distributed, transmitted, cached or otherwise used, except with the prior written permission of WTWH Media.

Privacy Policy