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# Diffraction

## What is Diffraction?

Diffraction is defined as bending or spreading of light waves around an obstacle. The obstacle can be an aperture or slit whose size is approximately the same as the wavelength of light. The amount of bending depends on the relative size of the opening to the wavelength of light. If the opening is much larger than the wavelength, the bending will be almost unnoticeable. Diffraction is the change in the direction of waves as they pass around an obstacle in their path. According to Huygens’ principle, the aperture or slit that is diffracting the waves becomes the secondary source of waves.  The diffracted waves fall a screen and form a pattern known as a diffraction pattern. It consists of alternating dark and bright fringes spread across the screen, with a bright central fringe surrounded by several maxima and minima. Diffraction experiments have shown that light has wavelike properties.

The history of diffraction goes back to 1660 when Italian mathematician and physicist Francesco Maria Grimaldi observed it for the first time and subsequently coined the term.

## Examples and Applications of Diffraction

1. An example of diffraction is seen in the atmosphere. Diffracted light bends around atmospheric particles like tiny water droplets that are present in clouds producing fringes of light and dark or colored bands. The diffraction of sunlight by clouds is a common phenomenon and referred to as a silver lining.
2. Another example of diffraction is while observing the back of a compact disc (CD). Recorded data on CD is stored in tiny pits of different lengths, which carries the information. These pits are positioned in a row of the same width and at equal distance and form a diffraction grating on the CD mirror surface.
3. Hologram projection is also an example of diffraction. When two propagating waves cross each other’s path, they create a standing wave. This standing wave, which remains still, can be photographed. By using two different waves of light, a standing wave is created and photographed, resulting in a hologram.
4. The appearance of the sun during sunrise and sunset is due to diffraction. The sun appears red because light gets diffracted in the presence of dust particles in the atmosphere. Also, when sunlight passes through trees, they are diffracted because trees are obstacles in the path of sunlight.
5. Other examples of diffraction include lights through a shadow of an object and bending of light at the corners of the door.

Image Courtesy: Satyam Bhuyan

## ­Fresnel and Fraunhofer Diffraction

In the case of Fresnel diffraction, the source or the screen is near the aperture, and the wavefront is spherical. The pattern observed is a fringed image of the object. ­­

In the case of Fraunhofer diffraction, both the source and the screen are far from the aperture, and the rays of light reaching and leaving the aperture are parallel. A converging lens is kept between the aperture and the screen to focus the parallel rays on the screen.

## Single-Slit Diffraction

Single-slit diffraction is the simplest experimental setup where diffraction effects can be observed. When light passes through a slit whose width is on the order of the wavelength of light, then a distinct diffraction pattern is observed on a screen that is kept at a distance from the slit.  The intensity is a function of the angle through which the rays bend. According to Huygens’ principle, each part of the slit can be thought of as an emitter of waves. All the waves interfere to produce the diffraction pattern resulting in constructive (bright areas) and destructive (dark areas) interference. A number represents the order of the bright and dark fringes. The intensities of the fringes consist of a central maximum that is larger than the maxima on its either side. The maxima rapidly decrease as one moves further from the center.

## Double-Slit Diffraction

A double-slit diffraction experiment consists of two narrow slits parallel to one another such that light incident on the slits are diffracted and falls on a screen. The two slits act as secondary sources of light waves that interfere and produce bright and dark fringes on the screen. The intensities consist of a bright central maximum surrounded by maxima and minima.

## Diffraction Gratings

A diffraction grating is a multi-slit surface with a periodic structure that splits and diffracts light into several beams traveling in different directions. It consists of a large number of parallel, closely-spaced slits with the spacings of the order of the wavelength of light. The role of the diffraction grating is to separate a polychromatic light into its constituent wavelengths or colors. The polychromatic light is incident on the grating and dispersed so that each wavelength bends at a slightly different angle from the other. A pattern of rainbow-fringes appears on the screen with the color fading as they move away from the center.

The condition for maximum intensity is the same as that of the double-slit or multiple slits. However, with a large number of slits, the intensity maximum is very sharp and narrow, providing a high resolution for spectroscopic applications. The peak intensities are also much higher for the grating than for the double slit.

Gratings are generally better than prisms as they are more efficient and provide a linear dispersion of wavelengths. The incident light does not suffer absorption that is observed in prisms, which limits their wavelength range.

## Diffraction and Interference

Diffraction vs. Interference

## Diffraction and Scattering

Diffraction vs. Scattering

Article was last reviewed on Saturday, May 23, 2020