Behavior-Deviates-Best-Of.mp4

Behavior-Deviates.mp3

Behavior-Deviates.mp4

Behavior-Deviates-intro.mp3

Harmonic (in harmony)

Norm,

Does you behavior

(Deviate)

… from the norm?

(Obliterate)

… the form?

Harmonics (in harmony)

Mmmm.. Music (sweet company)

[Instrumental, Guitar Solo]

Norm,

Does you behavior

(Deviate)

… from the norm?

(Perform)

… as if your…

In violation

(Of the Superposition)

Wave distortion

(Distortion)

Violation

Harmonics (in harmony)

Mmmm.. Music (sweet company)

[Instrumental, Guitar Solo]

In violation

(Of the Superposition)

Wave distortion

(Distortion)

Violation

Harmonics (in harmony)

Mmmm.. Music (sweet company)

Found

(An original sound)

Hitting my mind

(One of a kind)

Sound waves are considered nonlinear when their behavior deviates from simple, proportional relationships between cause and effect (e.g., doubling the sound intensity does not simply double the amplitude). The core reason for this nonlinearity is that sound waves actually change the physical properties of the medium (like air or water) they are traveling through, and this change affects the speed and shape of the wave itself.

The primary ways sound waves become nonlinear are due to changes in the medium’s properties:

1 Amplitude-Dependent Speed of Sound: The speed of sound is not constant when the amplitude is large.

* Increasing the pressure during the compression phase of a wave also slightly increases the local temperature and density of the medium.

* The speed of sound increases with both temperature and density in a gas or fluid.

* As a result, the peaks (high-pressure phases) of a high-amplitude wave travel faster than the troughs (low-pressure phases).

2 Wave Distortion (Wave Steepening): Because the peaks travel faster than the troughs, an initially smooth, sinusoidal (pure tone) sound wave will change its shape as it travels. Over distance, the wave front becomes progressively steeper, eventually resembling a sawtooth or “N” shape (a shock wave, in extreme cases like a sonic boom).

3 Violation of the Superposition Principle: In linear acoustics, different sound waves can pass through each other and their effects simply add up (superposition). In nonlinear acoustics, waves interact with each other and with the medium in complex ways, violating this principle. This interaction generates new frequency components (harmonics) that were not present in the original sound.

For most everyday sounds, the amplitude is small enough that these nonlinear effects are negligible, and the standard, simpler linear acoustics model works well.

Nonlinearity becomes significant when:

* Propagation Distances are Long: The small changes in wave speed accumulate over great distances, eventually leading to noticeable distortion.

* Specific Media are Used: Certain applications, such as medical ultrasound imaging or acoustic levitation, intentionally use high-intensity sound to exploit the nonlinear properties of water, biological tissues, or other materials for better results or specialized effects.