phase ( ) corresponds to the position and time on the wave function based on the above example of a wave function, points 1, 2, 3, 4 and 5 can be referred as 0, pi/2, pi, 3pi/2 and 2pi when thinking in respect of the phase of this wave labelling of 0, pi/2, pi, 3pi/2 and 2pi are arbitrary may be labelled along different points of wave (as long as its indicates accurate position of wave at specific time)
Phase difference “difference between the phase at 2 points, at the same time” when blue wave is at pi/2, red wave is at 0 phase ; when blue wave is at pi, red wave is at pi/2 phase (etc.) can describe this offset between 2 waves as the phase difference
in this case: difference of pi/2 in the phase the blue wave is always to the left of the red wave by pi/2 if these waves are traveling to the left, blue wave is leading red wave by pi/2 of phase if waves traveling to the right, blue wave is trailing from the red wave by pi/2 of phase
Equation for the Phase difference in Harmonic Waves
Phase Differences for a periodic wave for a periodic wave, the difference in phase is set due to its periodic nature the following table will be useful when determining phase difference of periodic wave:
In phase / out of phase In phase when 2 points on a wave that are an integer (full number) multiple of wavelength apart from each other and have a phase difference of 2pi points have equal displacements at ALL TIMES Out of phase 2 phase that are an odd half-integer multiple (1/2, 3/2, 5/2…) of a wavelength apart are pi rad out of phase with each other points ALWAYS have equal and opposite displacements from equilibrium