Refraction of Light: Definition, Laws, Causes, Applications, and Examples
Table of Contents
Introduction
Refraction of light is a fundamental optical phenomenon that occurs when light travels from one medium to another, and due to the change in the medium, there is a change in the direction of light. This change of the path of light is referred as the bending of light. This bending of light happens because the speed of light is different in different media and is governed by some basic laws of refraction. Refraction explains many everyday observations, such as a pencil appearing bent in water or objects under water appearing closer than they are. Understanding the refraction and its principles is critical for studying lenses, optical instruments, and modern technologies like fiber optics. We will understand that in detail through this note.
Definition of Refraction
When an electromagnetic radiation, in the form of visible light, travels from one medium to another, it experiences changes in lots of its properties. Mainly, the change in the direction of the light wave is observed in its path of travel. This bending of light from its initial path to another when it passes from one medium to another is called refraction. There is a change in the speed of light, a change in the wavelength of light, a change in intensity (partial reflection), and a change in the path nature (total internal reflection in certain conditions). All of these changes are responsible for many optical phenomena observed in daily life and in optical instruments that we use in our daily lives.
Laws of Refraction
- First Law of Refraction: The incident and refracted rays are on oppsite sides of the normal at the point of incidence and all three are in the same plane.
- Snell’s Law of Refraction: The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant for a given pair of media.
\[ \frac{\sin i}{\sin r} = \text{constant}\tag{1} \]where ‘\(i\)‘ is the incidence angle of refraction and ‘\(r\)‘ is the angle of refraction.
(Snellโs Law of Refraction)
Second Law: Snell’s Law of Refraction
Snell’s law explains the quantitative relationship between the angles of incidence \((i)\) and the angle of refraction \((r)\) when light passes from one medium to another. As stated, the ratio of sine of angle of incidence and sine of angle of refraction is constant for the given pair of media.This constant depends on the nature of the two media and is known as the refractive index of the second medium with respect to the first, denoted by \((n_{12})\).
The refractive index of a medium is defined as the ratio of the speed of light in vacuum to the speed of light in that medium. It indicates how much light slows down and bends when it enters the medium. It is a dimensionless quantity.
\[ n = \frac{c}{v}\tag{2} \]
where ‘\(c\)‘ is the speed of light in vacuum and ‘\(v\)‘ is the speed of light in the medium.
For two given media, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant. This constant is equal to the ratio of the speeds of light in the two media and is also related to their refractive indices. In other way, light bends in a predictable way depending on how fast it travels in each medium (add a diagram here with angles and velocities of rays in both mediums). This clearly justifies that the refractive index of a material is inversely proportional to the speed of light in that medium.
Combining equation \((1)\) and \((2)\), we can get;
\[ \frac{\sin \theta_1}{\sin \theta_2} = \frac{v_1}{v_2} = \frac{n_2}{n_1}\tag{3} \]
where the symbols has their usual meanings as given in the \(Figure\) \(1\) .
Causes of Refraction
When a ray of light falls on a surface, several physical phenomena can occur, and refraction is one of the most important among them. During refraction, light changes its properties, such as speed and direction, as it passes from one medium to another. Different changes are considered as the major causes of refraction. Some of them are listed here.
1. Change in Speed
The change in speed when the light is passed from one medium to another is the primary cause for refraction. This change in speed, causes the light to bend at the boundary.
2. Difference in Refractive Index
Refractive Index \((n)\) is a characteristic quantity for each medium, which determines how much it slows down the light passing through it. A greater difference in refractive indices of the two media results in greater bending of light.
3. Change in Optical density
When the light moves between media of different optical densities, refraction takes place due to the change in the speed. Generally, optically denser media slow down light more than optically rarer media.
4. Wavelength of Light
Refraction can be quantitatively measured based on the wavelength (color) of light. Different wavelengths bend by different amounts, leading to effects such as dispersion. We will discuss that in a different note in detail.
5. Angle of Incidence
The angle at which the light is incident also plays an important role in the case of refraction. If the incident angle is normal, there is no change in direction of light, however, only the speed of the light will be changed. Likewise, if the light is incident from the denser to rarer and the angle of incidence is such that the angle of refraction is exactly \(90^{\circ}\), it is called Total internal reflection.
Types of Refraction
Depending, how light travels between the different media, it can be classified into a few basic types:
1. Refraction from a Rarer Medium to a Denser Medium
When the light is passed from a Rarer medium (low refractive index) like air to a Denser medium (high refractive index) like glass or water, there is a change in the speed of light, and the direction of the light is more towards the normal. So, why does the speed change? Because when the electromagnetic waves interact with the electrons of the atoms in the high refractive index materials, these electrons absorb light energy and then re-emit it. This takes more time in the case of denser materials compared to their counterpart, a rarer medium material. This repeated process causes the delay in the overall speed of the light, making it effectively slow.
2. Refraction from a Denser Medium to a Rarer Medium
When the light is passed from a Denser medium (high refractive index) like glass/water to a Rarer medium (low refractive index) like air, there is a change in the speed of light, and the direction of the light is away from the normal. In this case, the interaction becomes weak compared to the previous situation, and it causes less absorption and reemission of light from the electrons of the atoms. As a result, the speed of light increases as it enters a rarer medium. Because the light speeds up at the boundary, the ray bends away from the normal and appears deviated. Due to this process, we see a pencil bent when viewed from the outside after keeping it in a glass.
3. Refraction without Deviation (Normal Incidence)
When the light falls perpendicularly (normally) on the surface separating two different media, it doesn’t get deviated from its path and travels along the normal to the surface. Although the speed of light changes when it enters the second medium, there is no change in its direction. Therefore, no bending of light is observed, even though refraction still occurs due to the change in speed. Since there is no component of motion parallel to the surface to alter its path, it continues straight ahead without any disturbance or bending.
3. Refraction without Deviation (Normal Incidence)
When the light falls perpendicularly (normally) on the surface separating two different media, it doesn’t get deviated from its path and travels along the normal to the surface. Although the speed of light changes when it enters the second medium, there is no change in its direction. Therefore, no bending of light is observed, even though refraction still occurs due to the change in speed. Since there is no component of motion parallel to the surface to alter its path, it continues straight ahead without any disturbance or bending.
Examples of Refraction in Daily Life
Here are some of the examples of Refraction that we observe in our everyday life:
- Stars appear to twinkle because their light undergoes continuous refraction through different layers of the Earth’s atmosphere, which have varying densities and temperatures.
- Eyeglasses and contact lenses help correct vision by bending light through refraction, allowing images to be properly focused on the retina.
- Formation of a rainbow occurs when the sunlight is refracted and dispersed by tiny water droplets present in the atmosphere. We see different colors because white light is a combination of those colors.
- Optical fibers transmit data over long distances by guiding light using the principles of refraction, reflection, and total internal reflection.
- A pencil partially immersed in water appears bent because light rays change direction when they pass from water to air.
Applications of Refraction
Refraction has wide applications in our daily lives. Some of the important ones are listed here.
- Eyeglasses and Contact Lenses: The Principle of Refraction is used in eyeglasses and contact lenses to bend the light so that images are properly focused on the retina, helping people with vision problems see clearly.
- Cameras and Smartphones: Cameras and smartphones utilize multiple lenses that refract light in a controlled manner to capture sharp, high-quality images with improved focus and clarity.
- Medical Instruments (Endoscopes and Microscopes): Devices like endoscopes and microscopes rely on refraction to form images of internal body parts and very small samples that cannot be seen with the naked eye.
- Telescopes: Telescopes use refraction to collect and focus light from distant stars and planets, allowing astronomers to observe objects far away in space.
- Optical Fiber Communication: Optical fiber cables guide light signals over long distances using refraction, making fast internet, phone calls, and data transfer possible.
- Projectors and Scanners: Movie projectors, barcode scanners, and QR code readers use lenses that refract light to enlarge images or read information accurately on any item.
- Material Identification: Refraction is used to identify materials by measuring their refractive index, which is a characteristic property of that material. This method is widely used in physics, chemistry, and materials science to identify different materials, check purity, and study material compositions.
Summary
Refraction of light is a simple yet fascinating physics phenomenon that describes how light changes its path while passing through different materials (media). It helps us understand many familiar natural effects, such as the formation of rainbows, twinkling of stars at night, and the sparkle of diamonds, while also forming the basis of everyday technologies like eyeglasses, cameras, and optical fibers. Governed by Snellโs law and explained through the concept of refractive index, refraction plays an important role across science and engineering, from medical instruments to communication systems. A clear understanding of related ideas such as total internal reflection, dispersion, and atmospheric refraction strengthens our grasp of how light behaves in different regimes, while addressing common misconceptions ensures the correct application of this fundamental concept.
FAQs
References
- Halliday, D., Resnick, R., and Walker, J. (2014.) Fundamentals of Physics. 10th Edition, Wiley and Sons, New York.
- https://openstax.org/books/physics/pages/16-2-refraction
- https://sciencenotes.org/refraction-definition-refractive-index-snells-law/
- https://en.wikipedia.org/wiki/Refraction
- https://byjus.com/physics/refraction-of-light/
- https://www.sciencefacts.net/refraction.html