Coherent Waves: What Are They & Must They Be Monochromatic?

[Muqaddas Jami]

Homework Statement

Can someone tell me clearly what are cohernt waves and is it must for every coherent waves to be monochromatic?

Homework Equations

The Attempt at a Solution

 

[mal4mac]

Check out the picture on here:

http://www.glenbrook.k12.il.us/gbssci/Phys/Class/light/u12l3c.html#p8

 

[baba89]

Coherent waves refer to a type of wave that maintains a constant phase relationship between different points along the wave. This means that the crests and troughs of the wave align at all times, resulting in a stable and predictable wave pattern. Coherent waves can be produced by sources such as lasers, where the emission of light is highly synchronized and maintains a constant phase relationship.

As for the question of whether all coherent waves must be monochromatic, the answer is no. Monochromatic waves refer to waves that have a single frequency or wavelength, while coherent waves only require a constant phase relationship. This means that coherent waves can have multiple frequencies or wavelengths, as long as they maintain a constant phase relationship. However, in many cases, coherent waves are also monochromatic, as this allows for a more precise and controlled wave pattern.

In conclusion, coherent waves are waves that maintain a constant phase relationship and can have multiple frequencies or wavelengths. While monochromatic waves are not a requirement for coherence, they are often preferred for their precision and predictability.