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Exercise:
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.

Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
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Exercise:
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.

Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
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Attributes & Decorations
Branches
Interference
Tags
diffraction
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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Link