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This is a property holding for two or more waves with logical and consistent ability of sticking together, it is a wave  feature marked with an orderly correlation between waves having identical physical quantities."Coherence describes all properties of the correlation between physical quantities of a single wave, or between several waves or wave packets"[1].This physical phenomena can be observed  in practical  lab experiment carried out to study characteristics of wave properties, the concept of wave coherence can be clearly visible when individual waves exhibit a constructive  interference; a state at which the waves  sum up and produce a compound sinusoidal wave form with an amplified crest as shown in Pic 1.The wave in blue color is the resultant wave of the two  lime waves.

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Pic1.Constructive interfernce.Modefied screen shot from an online source [2].

While constructive interference amplifies the output signal, the destructive interference does the opposite hence causing the input signals to cancel each other and a result weakens the output or destroy it producing a non-aligned wave form ,Pic 2.

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Pic2. Destructive interfernce.Modefied screen shot from an online source [2].