optics - Some doubts related to interference of light by air wedge - Physics Stack Exchange

We were taught "Interference by an Air Wedge" today in class. I have attached the image of diagram we were taught and the related formulae. However, I have still some lingering doubts about this to

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Air-wedge shearing interferometer - Wikipedia

3. As shown in the figure, an air wedge is used to measure the diameter of the thin wire. If l =589.3 nm, L = 2.888X10-2 m, the general width of 30

Air Wedge Interference

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optics - How are thin film interference patterns observed? - Physics Stack Exchange