Search results
Results from the WOW.Com Content Network
The term is also used, even more specifically, to mean a "monochromatic" or sinusoidal plane wave: a travelling plane wave whose profile () is a sinusoidal function. That is, (,) = (() +) The parameter , which may be a scalar or a vector, is called the amplitude of the wave; the scalar coefficient is its "spatial frequency"; and the scalar is its "phase shift".
In physics, a sinusoidal plane wave is a special case of plane wave: a field whose value varies as a sinusoidal function of time and of the distance from some fixed plane. It is also called a monochromatic plane wave , with constant frequency (as in monochromatic radiation ).
From the quadratic velocity term = (+) = can be seen that there are two waves travelling in opposite directions + and are possible, hence results the designation “two-way wave equation”. It can be shown for plane longitudinal wave propagation that the synthesis of two one-way wave equations leads to a general two-way wave equation.
A plane wave is an important mathematical idealization where the disturbance is identical along any (infinite) plane normal to a specific direction of travel. Mathematically, the simplest wave is a sinusoidal plane wave in which at any point the field experiences simple harmonic motion at one frequency.
The wavefronts of a traveling plane wave in three-dimensional space. In mathematics and physics , a traveling plane wave [ 1 ] is a special case of plane wave , namely a field whose evolution in time can be described as simple translation of its values at a constant wave speed c {\displaystyle c} , along a fixed direction of propagation n → ...
In physics, the plane-wave expansion expresses a plane wave as a linear combination of spherical waves: = = (+) (^ ^), where i is the imaginary unit , k is a wave vector of length k ,
If the plane wave illuminates the recording plate at non-normal incidence, then the three diffracted waves are now as follows: the original plane wave a wave which appears to diverge from the original point source - this is the re-constructed wave a wave which converges to a point which is deflected from the normal by twice the angle of ...
Then the group velocity of the plane wave is defined as = = =, which agrees with the formula for the classical velocity of the particle. The group velocity is the (approximate) speed at which the whole wave packet propagates, while the phase velocity is the speed at which the individual peaks in the wave packet move. [ 5 ]