Wave optics interference and diffraction

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Homework Help Overview

The discussion revolves around measuring the width of a spider web strand using a laser to create an interference pattern. The original poster describes the setup involving a 650nm laser and a strand that is 65 um wide, located 2 meters from a wall where the pattern is projected.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the nature of the diffraction pattern, comparing it to patterns created by light through two slits. Questions arise regarding the interpretation of a single obstruction versus multiple openings and the characteristics of the resulting maxima.

Discussion Status

Some participants have provided insights into the nature of the diffraction pattern, noting the central maximum's width compared to higher-order fringes. There is an acknowledgment of the counterintuitive aspects of single gap diffraction, but no consensus has been reached on the drawing task itself.

Contextual Notes

Participants are working under the constraints of a homework assignment that requires a specific drawing of the interference pattern, with an emphasis on accuracy and scale. There is a mention of a previous experiment conducted with hair, which influences the current understanding of the diffraction pattern.

tink123
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Imagine you are trying to measure the width of a single strand of spider web. You have fastened the web to the slide, only rather than mounting the strand vertically as you did with the hair, you have mounted it horizontally. You illuminate the strand with a 650nm laser and project the resulting interference patter onto the wall where you have fastened this piece of paper such that the interference patter strikes within the box below. Given that the strand is 65 um wide and is loacated 2 meters from the wall, draw the resulting interference pattern you would see in the box provided. Draw the pattern to scale in the correct orientation. Include only the m= -2, -1, 0, 1, 2 maxima (bright spots). Indicate the distance between each adjacent maximum.

Okay i have no idea how to do this! someone please help! thank you...
 
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This diffraction pattern will follow the same logic as the diffraction pattern created by light shining through two slits.
 
thank you!
 
What??

A Single obstruction is more like a single opening than like a double opening.

The angles of course are vertical, with the central max in the middle of the shadow.
(see "Poisson's spot" in the index for nice photos)
 
lightgrav said:
What??

A Single obstruction is more like a single opening than like a double opening.

The angles of course are vertical, with the central max in the middle of the shadow.
(see "Poisson's spot" in the index for nice photos)
Hmm you're right. I just did the experiment with my own hair. The central fringe is twice as wide as the higher order fringes which indicates that it is following the (counterintuitive) logic of the single gap diffraction pattern. (counterintuitive in that you get destructive, not constructive, interference at the point where light from the two sides of the barrier have a difference in path length of exactly one wavelength).

Gosh I hope tink comes back!:blushing:
 
don't worry i figured it out! thanks again!
 

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