How Does a Double Slit Create Coherent Light from an Incoherent Source?

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Young's double slit experiment demonstrates the creation of bright and dark fringes due to the interference of light waves. Bright fringes occur when the waves are in phase, while dark fringes result from waves being in antiphase. For coherent light, a constant phase difference is required, meaning the waves maintain a fixed relationship over time. A single narrow slit does not produce coherent light from an incoherent source like a sodium lamp; however, using a double slit after the single slit can lead to coherent light. This highlights the importance of the double slit in achieving the necessary phase relationship for interference patterns.
Freyth
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Young's double slit experiment produces regular intervals of bright fringes and dark fringes. The bright fringes happen when the 2 sources of wave are in phase and superimpose while the dark fringes are produced when the 2 waves are in antiphase and vectorially cancel each other out.

However, I've a little confused. It is said that for the experiment to work, the sources of light must be coherent. Meaning that they have constant phase difference; always in phase/ antiphase, having a fixed phase difference.

The fact that there are dark and bright fringes indicate that the phase difference is not constant meaning that they are not always in phase/ antiphase.

Am I missing something here or am I interpreting it wrongly?
 
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After further reading. I realized that the term "constant phase difference" actually means that the 2 waves at the point, no matter the period, will always be in phase/ antiphase. Unlike incoherent light sources which has random emission of light waves, thus constant phase difference is not present.

But I'm still unsure of something. If a sodium lamp emit light waves randomly, why will putting a narrow slit in front of the light source produce a coherent one?
 
Freyth said:
After further reading. I realized that the term "constant phase difference" actually means that the 2 waves at the point, no matter the period, will always be in phase/ antiphase. Unlike incoherent light sources which has random emission of light waves, thus constant phase difference is not present.

But I'm still unsure of something. If a sodium lamp emit light waves randomly, why will putting a narrow slit in front of the light source produce a coherent one?

By putting a narrow single slit in front of a sodium lamp does not produce coherent light. If you keep a narrow double slit in front of the single slit, it produces the coherent light.
 
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