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At locations (a) where the extra distance travelled by the 2nd ray (twice the width of the gap) is equal to an even multiple of a half-wavelength (λ/2) of the light the two reflected waves will be in phase and will add, reinforcing each other, resulting in a bright reflected ray. This is called constructive interference.
The resultant wave may have greater intensity (constructive interference) or lower amplitude (destructive interference) if the two waves are in phase or out of phase, respectively. Interference effects can be observed with all types of waves, for example, light , radio , acoustic , surface water waves , gravity waves , or matter waves as well ...
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 incidence of the plane wave - this is known as the conjugate wave. The three waves are now separated in space. This is known as an off-axis hologram.
The interference of two waves. When in phase, the two lower waves create constructive interference (left), resulting in a wave of greater amplitude. When 180° out of phase, they create destructive interference (right).
In the diagrams below on the left the light areas represent crests of waves, the black areas represent troughs. Notice the grey areas: they are areas of destructive interference where the waves from the two sources cancel one another out. To the right is a photograph of two-point interference generated in a circular ripple tank.
If the recorded field is superimposed on the "live field" scattered from the object, the two fields will be identical. If, however, a small deformation is applied to the object, the relative phases of the two light fields will alter, and it is possible to observe interference. This technique is known as live holographic interferometry.
By using 3-beam interference, arrays with hexagonal symmetry can be generated, while with 4 beams, arrays with rectangular symmetry or 3D photonic crystals are generated. With multi wave interference (by inserting a diffuser into the optical path) aperiodic patterns with defined spatial frequency spectrum can be originated.
This results in a pattern of concentric bright and dark rings, interference fringes. In areas where the path length difference between the two rays is equal to an odd multiple of half a wavelength (λ/2) of the light waves, the reflected waves will be in phase, so the "troughs" and "peaks" of the waves coincide. Therefore, the waves will ...