Why Do We Use the Complex Conjugate of Velocity to Calculate Acoustic Intensity?

In summary, the complex conjugate of velocity is multiplied with the complex pressure in order to obtain the complex acoustic intensity. This is similar to how the apparent electrical power in complex form is calculated using the conjugate of the current to correct for the phase angle between voltage and current.
  • #1
Radel
6
0
Hello All,

I would like to know why do we multiply the complex conjugate of velocity (not just the velocity) with the complex pressure to obtain the complex acoustic intensity. Could someone please help me with this?

Regards,
Radel...
 
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  • #2
I guess for the same reason the apparent electrical power in complex form is given by S = VI*. Correct phase angle between voltage phasor V=V⋅ev and current phasor I=I⋅ei is φ=φvi. Without conjugate you would get in the product φ=φvi. Conjugate of the current I*=Ie-jφi solves this problem since S=VI*=V⋅ev⋅I⋅e-jφi=V⋅I⋅ej(φvi).
 

Related to Why Do We Use the Complex Conjugate of Velocity to Calculate Acoustic Intensity?

1. What is complex acoustic intensity?

Complex acoustic intensity is a measure of the physical energy of sound waves that includes both magnitude and direction. It is a complex number that combines the amplitude and phase of the sound wave, giving a more complete description of the sound field.

2. How is complex acoustic intensity different from regular intensity?

Regular intensity only considers the magnitude of the sound wave, while complex acoustic intensity also takes into account the direction of the sound wave. This makes it a more comprehensive measure of the physical energy of sound.

3. What are some applications of complex acoustic intensity?

Complex acoustic intensity is used in various fields such as acoustics, engineering, and physics. It is particularly useful in studying the behavior of sound in complex and dynamic environments, such as in ocean acoustics or in studying the acoustics of musical instruments.

4. How is complex acoustic intensity measured?

Complex acoustic intensity can be measured using specialized equipment, such as a sound intensity probe, which measures both the amplitude and phase of the sound wave. The data collected can then be used to calculate the complex acoustic intensity.

5. How does complex acoustic intensity affect human perception of sound?

Complex acoustic intensity does not directly affect human perception of sound. However, it can provide valuable information about the physical properties of sound that can help in understanding how sound is perceived by humans and how it interacts with the environment.

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