412 Quiz 1

Phase Front

The surfaces of the waves.

Spherical Plane Waves

Look like water ripples.

Plane Waves

Rectangular in shape and propagate in a uniform direction, creating parallel wavefronts.

Phase Velocity and Speed of sound

Symbolized by 'c', it is a material property that is constant in its medium.

Wave Equation

An equation that describes the propagation of waves.

Dispersion Equation

Related to material properties like density and compressibility.

Dispersion Diagram

Shows the relationship in non-dispersive media where frequency and wave vector have a linear relationship.

Non-dispersive Media

Materials like water and air where all frequencies travel at the same speed.

Dispersive Media

Media where wave speeds vary depending on frequency, leading to wave distortion.

Phase Velocity and Speed of Sound

Also referred to as phase velocity, it depends on temperature and is constant for every frequency.

Relationship between c and Material Properties

c = (density * compressibility)^{-1}.

Compressability

___ is inversely related to stiffness.

Phase Velocity and Density

Phase velocity is inversely related to the square root of density.

Fourier Theory

Waveforms can be decomposed into sine and cosine components.

Wavelength ( abla)

Spatial period of the wave, symbolized by lambda = 2 * pi / k.