Refraction of a Wave of Light
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The diagram shows an incident wave of light with a wavelength corresponding with red approaching the boundary between air and glass.
- As the wave 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.
Description
Refraction of a Wave of 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 takes a close look at the refraction of a ray of red light at the boundary between air and glass.
- Related topics including reflection and dispersion 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 direction and speed 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.
- 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 (such as between air and glass) it changes speed.
- Depending on the media through which light is refracted, its speed can increase or decrease.
The diagram
The diagram shows an incident wave of light with a wavelength corresponding with red approaching the boundary between air and glass.
- As the wave 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.
- The diagram also shows that the wavelength of the light gets shorter and reduces speed as it crosses the boundary into the glass.
- Notice that the frequency and so the colour of the wave remain the same.
Remember:
- When light passes from one medium to another, the wavelength changes but the frequency and so the colour remains the same.
- In terms of the physics of light, it is the frequency of a wave that determines the colour seen by an observer.
- The colour of the ray of light doesn’t change as it crosses the boundary between different transparent media because although the wavelength gets shorter and the wave reduces speed the frequency is unchanged.
About wavelength, frequency and colour
- To understand the relationship between wavelength and frequency at the boundary between two different media, imagine standing in front of the block of glass (as shown in the diagram) watching the waves go past.
- Now imagine that as the wave enters the glass from the left that its speed is halved. The result is that its wavelength will be halved. that means the length of each wave will be half as long.
- But if the wavelength is halved then each one will pass by at double the pace. This means that their frequency will double as twice as many waves rush pass by.
- The outcome is that because the frequency at which the waves pass by remain the same the colour is unchanged.
A useful rule for frequency and colour
When light crosses the boundary into a medium with higher optical density the result is: shorter wavelength, slower speed, same frequency.
When light crosses the boundary into a medium with lower optical density the result is: longer wavelength, faster speed, same frequency.
Some key terms
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.
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.
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.
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.
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.
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.
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