Objective confusion-Interference and Diffraction

[AznBoi]

There are some objectives that I need to complete by this week. Please help me determine what they are by offering equations/experiments that relate to them. Thanks!

Relate the amplitude produce by two or more sources that interfere constructively to the amplitude and intensity produced by a single source.

-Calculate, for a single-slit pattern, the angles or the posititions on a distant screen where the intensity is zero.
For a single-slit pattern, do you use the equation $$x=\frac{m\lambda L}{d}$$, with the exception that (d) equals the width of the slit? to find the distances from the central maxima to other frindges of maximums and minimums?

-Sketch or identify the intensity pattern that results when monochromatic waves pass through a double slit, and indentify which features of the pattern result from single-slit diffraction and which from two-slit interference.

-Describe or identify the interference pattern formed by a diffraction grating, calculate the location of inteisty maxima, and explain qualitatively why a multiple-slit grating is better than a two-slit grating for making accurate determinations of wavelength.

-Determine whether rays of monochromatic light reflected perpendicularly from two such interfaces will interfere constructively or destructively, and thereby account for Newton's rings and similar phenomena, and explain how glass may be coated to minimize reflection of visible light.

 

[Weimin]

The demonstration of the result is here

http://www.physics.uoguelph.ca/applets/Intro_physics/kisalev/java/slitdiffr/index.html

and the solution

http://electron9.phys.utk.edu/optics421/modules/m5/Diffraction.htm

You can google with the keywords: double slit, single slit, etc.

 

[m2003]

Objective confusion-Interference and Diffraction can be better understood by exploring the following equations and experiments:

1. Equation: A = A1 + A2 + 2√(A1A2)cos(δ), where A is the resultant amplitude, A1 and A2 are the amplitudes of the two sources, and δ is the phase difference between them. This equation relates the amplitude produced by two or more sources that interfere constructively to the amplitude produced by a single source.

Experiment: The double-slit interference experiment is a classic demonstration of the interference of light waves. By passing monochromatic light through two parallel slits, an interference pattern is created on a screen. This experiment shows how the amplitude of the resultant wave is affected by the interference of two sources.

2. Equation: x = mλL/d, where x is the distance from the central maximum to the mth minimum, λ is the wavelength of the light, L is the distance from the slits to the screen, and d is the distance between the slits. This equation can be used to calculate the positions of intensity zeros in a single-slit diffraction pattern.

Experiment: The single-slit diffraction experiment involves passing light through a narrow slit and observing the resulting pattern on a screen. By measuring the distances between the central maximum and the intensity zeros, the above equation can be used to determine the wavelength of the light.

3. Double-Slit Interference Pattern: This pattern consists of a central maximum surrounded by a series of alternating bright and dark fringes. The bright fringes are a result of constructive interference, while the dark fringes are a result of destructive interference. The pattern also shows the effects of single-slit diffraction, with the central maximum being wider than the other fringes.

4. Diffraction Grating: A diffraction grating is a surface with many parallel slits that can cause interference of light waves. The equation d sinθ = mλ, where d is the spacing between the slits, θ is the angle of diffraction, m is the order of the maximum, and λ is the wavelength of the light, can be used to calculate the location of intensity maxima in a diffraction grating.

Experiment: The diffraction grating experiment involves passing light through a diffraction grating and observing the resulting pattern on a screen. By measuring the distances between the intensity maxima, the above equation can be used