Example Of Light Diffraction

 
Diffraction

Some bird feathers use natural diffraction grating which produce constructive interference, giving the feathers an iridescent effect. Iridescence is the effect where surfaces seem to change color when the angle of illumination is changed. An opal is another example of diffraction grating that reflects the light into different colors. Answers to question: Diffraction is when light is bent around obstructions. Which of the these observation about clouds would indicate diffraction? A) after rain storms, you can sometimes see. The change of the direction of a light ray when it enters a glass block from air is an example of refraction The spreading of waves when they pass. Hi everybody,At wiki, I was astonished to read this about diffraction of light:'In Quantum Mechanics, it is a remarkable fact that the mechanism of. This practical work aims to study the diffraction phenomenon through the observation and analysis of the laser beam deflected by different obstacles.

Serendipitous observation

One fine day, I was looking at my mobile screen sipping my tea under a tree. At one particular angle, I could see a pattern of colours reflected from my mobile screen. My mind was filled with questions 'What could be the reason? , Why? , why? '

After pondering for a few days, I can up with an explanation. The display in my phone is made of tiny physical elements called 'Pixels'. These pixels diffract the incident light to form a pattern. Later that night I noticed a lot of phenomena occurring around me are attributed to Interference and diffraction effects. Their effect is ubiquitous. In this article, I will first explain theory behind these effects followed by specific examples that we encounter in our everyday life.

What are Waves?

Waves are disturbances that carry energy, information etc from one place to another. For example, a sound wave carries that travels from a source (speaker) to a listener

The most common of them are sound and light waves. The light waves that are visible to the naked eye are in the wavelength range of 400nm to 700nm and sound waves audible to the human ear are in the range 17mm to 17m. (Note the stark contrast between wavelengths of the two waves)

Interference And Diffraction:

Interference:

Interference is a phenomenon that occurs when two or more coherent( same frequency and constant phase difference) waves interact with each other. They redistribute energy in space that results in a pattern.

His bright light pdf free download. Download ebook free in PDF and EPUB Format. Also available in docx and mobi. Read nightmares online, read in mobile or Kindle. Books about His Bright Light 12c Floor. Search for: Recent Posts. Horror Films for Children The Ultimate Startup Algorithm 5 Books in 1. His bright light by Steel, Danielle. Publication date 2010 Topics. ENCRYPTED DAISY download. For print-disabled users. 14 day loan required to access EPUB and PDF files. Books to Borrow. Books for People with Print Disabilities. Internet Archive Books.



In the first part of the above video, you can see that when two point sources interfere, they redistribute energy. You can see the energy redistributed alternatively with concentration in few areas. In areas where energy is maximum, the two waves are interfere constructively and in areas where energy is minimum they interfere destructively.

Things to remember:

  • Interfering waves should be monochromatic and must have a constant phase difference.
  • Different colors/wavelength will have different conditions for interference. A maximum for one color might be a minima for another.

Diffraction:

Have you ever wondered whether you can bend a wave, deviate from its path? If you have thought about it, you are in for a thrill. So why a light would bend? Imagine this, a small particle and a big hole. Do you think the big hole will hinder small particle when you drop inside? Obviously it won't. But what if the hole's size was comparable to the size of the particle? Yes, definitely it would obstruct and deviate its path. This is exactly what diffraction is about.
The bending of waves around the small corners/apertures (of the size of wavelength) is called diffraction.


In the second part of the video(single slit diffraction), a narrow slit comparable to the wavelength of incident wave, bends and spreads after passing through the slit.

Diffraction grating:

A diffraction grating is a periodic structure with varying refractive index as depicted in the figure below. When light is incident on a grating, light is diffracted in different directions depending on their wavelength. When white light is incident on a grating all the colours are split and they are reflected and transmitted in different directions. Similar to a prism, one can obtain a rainbow pattern.

Anti-reflection coating in spectacles:

Light suffers a reflection loss whenever it travels from one medium to another. For example, you can see yourself when you stand in front of a glass door, the reflection of sky your car's windshield, etc.

Similarly, one of the main use of glass in our daily life is spectacles. When light travels through our spectacles to reach our eyes, some amount of light is lost at the glass-air interface. In order to minimise the reflection loss, the opticians coat a thin layer called the 'antireflection coating' above the lens.

Now, how does it work?

An 'anti-reflection coating' is essentially a thin film coated on top of the glass. The thin film is designed in such a way that the reflected rays from air/thinfilm interface and thinfilm/glass interface interfere destructively. Thereby it reduces reflection loss and more light enters the spectacles increasing the visibility.

Soap Bubbles:

Soap bubbles exhibit rainbow colours. Is it because of chemical constitution of the soap bubbles? Well no, the reason is similar to the phenomena happening in antireflection coatings, you just learned. The soap molecules attach themselves to the surface of water forming a thin film in circular shape(owing to minimum surface tension).

The soap film acts as a thin film. The reflected waves from the top and the bottom surfaces interfere. Hence we see soap bubble exhibiting different colours in different directions.

Hologram:

A hologram is a photographic film with a recorded inteference pattern. The true object picture is reproduced with paralax effect. This is possible because, the film stores the phase information along with the intensity values. There are two kinds of holograms, viz reflection and transmission hologram. A transmission hologram formed by interfering light reflected off from and a reference beam on a photographic film. When this film is illuminated with a coherent source(laser), the original object is reproduced. In a reflection hologram the data is stored layer wise. When light is incident on a reflection hologram, light is reflected from different layers of the film. Similar to an anti-reflection coating, different wavelengths are diffracted in different directions. That's the reason hologram in a security card or credit card exhibits different colors in different directions.

Peacocks and butterflies:

Peacocks feather demonstrate brilliant colours. A common misconception is that the colors are due to pigments. The actual reason is due to the presence of periodic small grooves (diffraction gratings) present in peacock's feather. The periodicity of these grooves differs from one region to another. Each set of groove is responsible for the reflection of a particular colour. When sunlight is shined over the feather the light interacts with the grooves resulting in the spectacular colors.

Some butterflies display shiny blue colour. Wings of this butterfly have diffraction grooves with a particular period that permits constructive interferece .

Displays:

Displays are made up of minute periodic physical elements called 'pixels'. Each pixel is made up of the primary colors red, green and blue. High-resolution displays have high pixel density. These pixels are arranged with a periodicity comparable to the wavelength of visible light. Hence, when sunlight or a flashlight is shined upon the display, the light is diffracted resulting in a beautiful pattern.

CD ROMS:

Have you ever wondered why the back side of a CD ROM exhibits shiny colors? Why Blu-Ray discs have a superior storage in comparison to CDs?

The data in compact discs are stored and written in small groves of the size comparable to the size of visible wavelength. Hence, when light is incident on them, the grooves diffract light in different directions.

What's special about Blu-ray discs? In Conventional CDs, reading data is done using a red laser. The wavelength of red color is around 680nm. Thereby the data storage is limited by red colour. In Blu-ray disc technology, Blue(wavelength) laser is used to read data.

Now that we read about light waves, let's turn our attention towards sound waves.

Sound waves diffracting through corners

The sound waves audible to the human ear are in the range 17mm to 17m. This enables sound waves to diffract through the edges or corners of a door. When a music is played with the door slightly opened, it is possible to hear sound from any direction near the door.This is because sound waves are of wavelength comparable to the width or aperture near the door enabling them to diffract and spread out.

Tuning musical instruments:

Have you ever wondered how a musician uses a tuning fork to tune his or her equipment?

Musical instruments like piano, guitar etc produce sounds at definite frequencies. For example, the musical note A4 has a frequency of 440Hz. A tuning fork upon excitement emits a sound for a certain frequency. When two identical tuning forks and are placed next to one another, striking one of them causes other to resonate at the same frequency. If they are at slightly different frequencies, they cannot interfere and leads to a phenomenon called 'beats'. The musical instrument is tuned until beats are removed ensuring the instrument is emitting the same frequency.

References:

  1. http://hyperphysics.phy-astr.gsu.edu/hbase/sound/diffrac.html
  2. http://www.asknature.org/strategy/1d00d97a206855365c038d57832ebafa

Examples for interference anddiffraction

Example #1

Problem:

A screen is placed 3.0 m from atwo-slit setup with the slits separated by 15 mm. If thewavelength of the light is 4000 nm, how far apart are the principal and m =1fringes?

Solution:

First, solve for the angle q of the maximum using l = dsinq, where dis the slit separation. Then, solve for the position of the fringe, y,with y/L = tanq. By making the approximation q = tanq = sinq which is true for smallangles, the algegra is simplified.

y= 8 cm

Example #2

Problem:

Example Of Diffraction Of Light Shadow

A diffraction grating with 12 thousandlines per cm separates a bright line at 24.5 degrees. What is the wavelength ofthe light?

Solution:

The separation between slits d onthe grating is 1/12,000. Using l = dsinq,one obtains

l = 345.6 nm

Example #3

Problem:

An Example Of Diffraction Of Light

Which of the formulae (aor b) does one use to find the thickness of a film to give aninterference maximum for reflected light?

a.) 2t= (m+1/2)l b.)2t = ml

1.) Light comes from the vacuum andreflects off a soap film floating in air.

Use formula abecause only one reflection is from a lower-to-higher n surface.

2.) Light comes from the vacuum andreflects off a soap film floating over glass.

Use formula bbecause both reflections are from lower-to-higher n surfaces.

3.) Light comes from the glass and reflectsoff a soap film with vacuum on the other side.

Use formula bbecause neither reflection is from a lower-to-higher n surface.

Example #4

Problem:

Light of wavelength 400 nm isincident on a single slit of width 15 microns. If a screen is placed 2.5 m fromthe slit. How far is the first minimum from the central maximum?

Solution:

First, solve for the angle q of the minimum using l = asinq, where ais the slit wdith. Then, solve for the position of the fringe, y,with y/L = tanq. By making the approximation q = tanq = sinq which is true for smallangles, the algegra can be simplified.

y= 6.67 cm

Example

Example #5

Example Of Light Diffraction Examples

Problem:

A spy satellite travels at a distance of 50km above Earth's surface. How large must the lens be so that it can resolveobjects of 2 mm and thus read a newspaper? Assume the light has a wavelength of400 nm.

Solution:

Example Of Diffraction Of Light

Diffraction limits the resolution according to q = 1.22 l/D = y/L.Here the height of the object one wishes to resolve is y and thedistance to the object is L. Solving for D,one gets,

What Are Some Examples Of Diffraction

D= 12.2 m