Webster's dictionary defines a wave as "a disturbance or variation that transfers energy progressively from point to point in a medium and that may take the form of an elastic deformation or of a variation of pressure, electric or magnetic intensity, electric potential, or temperature."
Human wave © Dan Russell (2002)
In Longitudinal waves, the particles in a medium oscillate back and forth about their equilibrium positions but it is the disturbance which travels, not the individual particles in the medium. Longitudinal Wave © Dan Russell (2002)
In a transverse wave the particle displacement is perpendicular to the direction of wave propagation. The particles do not move along with the wave; they simply oscillate up and down about their individual equilibrium positions as the wave passes by. Transverse wave © Dan Russell (2002)
Water waves are an example of waves that involve a combination of both longitudinal and transverse motions. As a wave travels through the water, the particles travel in circles. Water Wave © Dan Russell (2002)
For a sinusoidal plane wave
To determine angular frequency To determine wavelength
(x,0) (x, t) SB
Time evolution of phase
Constant phase surfaces In three dimension- wave moving in x direction
Wave fronts (constant phase surface) Phase velocity: v p
Arbitrary direction Wave vector Along x Along arbitrary direction
1. LECTURE NOTES FOR PHYSICS I SASTRY AND SARASWAT 2. THE PHYSICS OF VIBRATIONS AND WAVES AUTHOR: H.J. PAIN IIT KGP Central Library Class no PAI/P