Refraction & Dispersion of White Light
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The diagram illustrates chromatic dispersion:
- Chromatic dispersion is often simply called dispersion.
- The text below the image explains that dispersion takes place because the refractive index of the glass is different for each wavelength of light (ROYGBV).
- Chromatic dispersion takes place because the refractive index of the glass is different for each wavelength.
- White light containing all wavelengths of the visible spectrum disperses into a rainbow of colours.
Description
Refraction & Dispersion of White Light
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About the diagram
Have you already checked out An Introduction to Reflection, Refraction and Dispersion?
It is the opening page of our Reflection, Refraction and Dispersion Series and contains masses of useful information. This is the table of contents:
Overview of this page
- This page looks at the refraction and chromatic dispersion of a ray of white light at the boundary between air and glass.
- Related topics, including reflection, are covered on other pages of this series.
- Introductions to the terms refractive index and the law of refraction (sometimes called Snell’s law) also appear on later pages in the series.
An overview of refraction
- Refraction refers to the way that light (electromagnetic radiation) changes speed and direction as it travels from one transparent medium into another.
- Refraction takes place as light travels across the boundary between different transparent media and is a result of their different optical properties.
- Refraction is the result of the differences in the optical density of transparent media. Gases have a very low optical density whilst diamonds have a high optical density.
- When light is refracted its path bends and so changes direction.
- The effect of refraction on the path of a ray of light is measured by the difference between the angle of incidence and the angle of reflection.
- As light travels across the interface between different media it changes speed.
- Depending on the media through which light is refracted, its speed can either increase or decrease.
An overview of chromatic dispersion
- The term chromatic dispersion (often simply called dispersion) refers to the way that different wavelengths of light separate at the boundary between transparent media during the process of refraction.
- Dispersion causes the separate wavelengths present in a ray of light to fan out so that their corresponding colours become visible to an observer.
- When white light is dispersed, the spread of colours has red on one side and violet at the other.
- The colours produced by dispersion are spectral colours – ROYGBV.
- Dispersion occurs because refraction causes every wavelength of light to alter speed, and at the same time, to bend and change direction by a different amount.
- For dispersion to occur the incident light approaching the boundary between two different transparent media must contain a sufficiently wide range of wavelengths to enable them to separate out so that their associated colours are visible to an observer.
An overview of refraction and wavelength
- Every wavelength of light is affected to a different degree when it encounters a medium and undergoes refraction.
- Every wavelength of light changes both speed and direction by a different amount when it encounters a new medium and undergoes refraction.
- The change in angle for any wavelength of light undergoing refraction within a specific transparent medium can be predicted if the refractive index of the medium is known.
- The refractive index for a medium is calculated by finding the difference between the speed of light in a vacuum and its speed as it travels through the medium.
- To understand dispersion we must recognise that the refractive index of a transparent medium must be corrected for different wavelengths of the visible spectrum.
The diagram
The diagram shows an incident ray of white light approaching the boundary between air and glass.
- As the ray crosses the boundary into the glass it bends towards the normal (the dotted green line).
- Refraction is towards the normal because the ray travels from air, the faster, less optically dense medium with a smaller refractive index into the glass, a slower, more optically dense medium with a higher refractive index.
A familiar example of dispersion is when white light strikes a prism and a rainbow of colours become visible to an observer.
- As light enters a prism it separates into its component wavelengths which an observer perceives as bands of colour.
- Colour is not a property of electromagnetic radiation, but a feature of visual perception experienced by an observer in the presence of different wavelengths of light.
Remember:
- In the right conditions, all transparent media cause incident light to change direction and to disperse into their component colours.
- When light is refracted and changes direction, the angle is determined by the refractive index of the medium it enters.
- Refractive index (n) is equal to the speed of light in a vacuum (c) divided by the speed of light in the medium (v)
- Light travels at 299.792 kilometres per second in a vacuum.
- Only a narrow range of wavelengths that form the full electromagnetic spectrum are visible to the human eye.
- The wavelengths that we can see are known as the visible spectrum.
- The presence of different wavelengths of light around us results in the colours we see in the world.
Refractive index
- The refractive index (also known as the index of refraction) of a transparent medium allows the path of refracted light through a transparent medium to be calculated.
- The refractive index is a ratio calculated by dividing the change in the speed of light in a vacuum by its speed as it travels through a specific medium.
- The refractive index of a medium can be calculated using the formula:
- When light travels through a vacuum, such as outer space, it travels at its maximum speed of 299,792 kilometres per second.
- When light travels through any other transparent medium it travels more slowly.
- Refractive indices describe the ratio between the speed of light in a vacuum and the speed of light in another medium.
- Most transparent media have a refractive index of between 1.0 and 2.0.
- Whilst the refractive index of a vacuum has the value of 1.0, the refractive index of water is 1.333.
- The ratio between them is therefore 1:1.333
- A simple example of a ratio is of mixing concrete using 1 part of cement to 2 part of sand. The ratio is expressed as 1:2.
- If we divide the refractive index for light travelling through a vacuum (1.0) by the refractive index for glass (1.333) we find that light travels at 75% of the speed of light in a vacuum.
For an explanation of the refractive index (index of refraction) of a medium see: Refractive Index Explained.
For an explanation of how to use the refractive index of a medium see: How to Use the Refractive Index of a Medium.
For an explanation of the Law of Refraction see: Snell’s Law of Refraction Explained.
Some key terms
Incident light refers to light that is travelling towards an object or medium.
- Incident light refers to light that is travelling towards an object or medium.
- Incident light may come from the Sun, an artificial source or may have already been reflected off another surface, such as a mirror.
- When incident light strikes a surface or object, it may be absorbed, reflected, refracted, transmitted or undergo any combination of these optical effects.
- Incident light is typically represented on a ray diagram as a straight line with an arrow to indicate its direction of propagation.
The angle of refraction measures the angle to which light bends as it passes across the boundary between different media.
- The angle of refraction is measured between a ray of light and an imaginary line called the normal.
- In optics, the normal is a line drawn on a ray diagram perpendicular to, so at a right angle to (900), the boundary between two media.
- See this diagram for an explanation: Refraction of a ray of light
- If the boundary between the media is curved, the normal is drawn perpendicular to the boundary.
The frequency of electromagnetic radiation (light) refers to the number of wave-cycles of an electromagnetic wave that pass a given point in a given amount of time.
- Frequency is measured in Hertz (Hz) and signifies the number of wave-cycles per second. Sub-units of Hertz enable measurements involving a higher count of wave-cycles within a single second.
- The frequency of electromagnetic radiation spans a broad range, from radio waves with low frequencies to gamma rays with high frequencies.
- The wavelength and frequency of light are closely linked. Specifically, as the wavelength becomes shorter, the frequency increases correspondingly.
- It is important not to confuse the frequency of a wave with the speed at which the wave travels or the distance it covers.
- The energy carried by a light wave intensifies as its oscillations increase in number and its wavelength shortens.
Reflection is the process where light rebounds from a surface into the medium it came from, instead of being absorbed by an opaque material or transmitted through a transparent one.
- The three laws of reflection are as follows:
- When light hits a reflective surface, the incoming light, the reflected light, and an imaginary line perpendicular to the surface (called the “normal line”) are all in the same flat area.
- The angle between the incoming light and the normal line is the same as the angle between the reflected light and the normal line. In other words, light bounces off the surface at the same angle as it came in.
- The incoming and reflected light are mirror images of each other when looking along the normal line. If you were to fold the flat area along the normal line, the incoming light would line up with the reflected light.
Optical density is a measure of how much a material resists and slows the transmission of light.
- The higher the optical density of a material, the slower light travels through it.
- The lower the optical density of a material, the faster light travels through it.
- A vacuum is not a medium and has zero optical density.
- Light travels through a vacuum at the maximum possible speed of light which is 299,792 kilometres per second.
- Optical density and refractive index are related properties.
- In general, materials with higher optical density tend to have higher refractive indices and vice versa.
- The greater the difference in refractive index between two materials, the more they will bend light when they come into contact.
A wave diagram is a graphic representation, using specific drawing rules and labels, that depicts variations in the characteristics of light waves. These characteristics include changes in wavelength, frequency, amplitude, speed of light and propagation direction.
- A wave diagram provides a visual representation of how a wave behaves when interacting with various media or objects.
- The purpose of a wave diagram is to illustrate optical phenomena, including reflection, refraction, dispersion, and diffraction.
- Wave diagrams can be useful in both theoretical and practical applications, such as understanding the basics of the physics of light or when designing complex optical systems.
Wavelength is the distance from any point on a wave to the corresponding point on the next wave. This measurement is taken along the middle line of the wave.
- While wavelength can be measured from any point on a wave, it is often simplest to measure from the peak of one wave to the peak of the next, or from the bottom of one trough to the bottom of the next, ensuring the measurement covers a whole wave cycle.
- The wavelength of an electromagnetic wave is usually given in metres.
- The wavelength of visible light is typically measured in nanometres, with 1,000,000,000 nanometres making up a metre.
- Each type of electromagnetic radiation – such as radio waves, visible light, and gamma waves – corresponds to a specific range of wavelengths on the electromagnetic spectrum.
The angle of incidence measures the angle at which incoming light strikes a surface.
- The angle of incidence is measured between a ray of incoming light and an imaginary line called the normal.
- See this diagram for an explanation: Reflection of a ray of light
- In optics, the normal is a line drawn on a ray diagram perpendicular to, so at a right angle to (900), the boundary between two media.
- If the boundary between the media is curved, then the normal is drawn at a tangent to the boundary.
In physics and optics, a medium refers to any material through which light or other electromagnetic waves can travel. It’s essentially a substance that acts as a carrier for these waves.
- Light is a form of electromagnetic radiation, which travels in the form of waves. These waves consist of oscillating electric and magnetic fields.
- The properties of the medium, such as its density and composition, influence how light propagates through it.
- Different mediums can affect the speed, direction, and behaviour of light waves. For instance, light travels slower in water compared to a vacuum.
- Examples of Mediums:
- Transparent: Materials like air, glass, and water allow most light to pass through, with minimal absorption or scattering. These are good examples of mediums for light propagation.
- Translucent: Some materials, like frosted glass or thin paper, partially transmit light. They allow some light to pass through while diffusing or scattering the rest.
- Opaque: Materials like wood or metal block light completely. They don’t allow any light to travel through them.
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