FOR 435 Remote Sensing of Active-Fire and Post-Fire Effects Presentation 1-5 The Fundamentals of Electromagnetic Radiation Good Day! The lecture is entitled the fundamentals of electromagnetic radiation. 1 1.5.1 The History of Electromagnetic Radiation The question of what light is made of has been asked by people for centuries. In the 1600s: Isaac Newton thought light = particles This view of what light is changed in 1860 when James Clerk Maxwell presented his ‘Electromagnetic Theory’ of light. In order to understand how we can use measurements of the reflection or emission of electromagnetic radiation from surfaces to provide information about those surfaces, we first need to understand more fully what electromagnetic radiation is and what its properties are. In the 1860s a physicist names James Clark Maxwell, who is shown in this photograph, described Electromagnetic Radiation as a wave that travels through space at the speed of light. Prior to this light and other forms of electromagnetic radiation was thought to consist of particles. We will show in this lecture that Electromagnetic Radiation does exhibit the properties of a wave. However, we will also show that it also exhibits some properties that can not be explained by it being a wave. We will then discuss why these properties are important for remote sensing. 2 1.5.2 Wave Terminology Wavelength (λ) is the distance from one wave crest to the next. Typically expressed in nanometers or micrometers. Frequency (ν) is the number of crests passing a fixed point in a given period. Typically expressed in hertz. Amplitude is the height of each peak. Typically expressed in Watts/ meter2 / μmeter. c = λν c = speed of light Notice that in the schematic of an Electromagnetic wave it consists of two oscillating waves at right angles to each other. These represent the electric and magnetic waves. Before we describe the properties of Electromagnetic Radiation and light we first will briefly describe terminology of all waves, whether light, sound, etc The wavelength is defined as the distance between two adjacent crests or two adjacent troughs that exist on the same axis. Therefore, in the case of an Electromagnetic wave shown in this figure we can show the wavelength to be the distance between the 2nd and 3rd crests of the electric wave. Although this equally could have been calculated using the crests or troughs of the magnetic wave.The two commonly used units of wavelength are nanometer (10E-9) and micrometers (10E-6), where 1 micrometer or micron is equal to 1000 nanometers. The Frequency is defined as the number of crests passing a fixed point within a unit time period and expressed in hertz. Lastly the amplitude is defined as the height of each peak as measured from y=0. Typical units of amplitude are Watts/ meter2 / μmeter. 3 1.5.3 Properties of Electromagnetic Radiation Reflection Specular reflection: angle of incidence = angle of reflection Diffuse (Lambertian) reflection: light is scattered equally in all directions The first property of light that we will consider is reflection. In the case of a perfectly smooth reflective surface, such as we nearly achieve with mirrors or with ice and snow, the angle of reflection will equal the angle of incidence. This is called specular reflection, where specular is derived form the Latin word for mirror. Examples of specular refection are common place, like when you view yourself in the mirror, or use the mirror to glance around a corner. In the case of a real surfaces, the light is scattered equally in all directions. This is called diffuse or Lambertian reflection. If the light were not scattered in all directions you would only be able to view objects if you were looking at them from one single direction, which is clearly not always the case. Importantly both waves and a stream of particles exhibit these properties. 4 1.5.3 Properties of Electromagnetic Radiation Refraction Index of refraction (n): ratio between the velocity of light in a vacuum (c) to its velocity in the medium (v): n n’ n=c/v θ Snell’s law: θ θ’ n sin θ = n ' sin θ ' where n and n ' are the indices of refraction of the two media The next property of light we will consider is refraction. Refraction is the bending of light rays at the contact between two surfaces. Importantly the ‘speed’ of light, c, often quoted as 3 x ten power 8 meters per second, is more correctly the speed of light in a vacuum. Light always travels more slowly in any other medium, essentially in a vacuum there is nothing to slow it down. 5 1.5.3 Properties of Electromagnetic Radiation Diffraction The next property of light we will consider is diffraction. Diffraction is a property of waves that allows them to be bent around a corner or around obstacles. This is the same property that allows you to hear sounds around a corner. An example of light diffraction is when you use a flashlight to make an object cast a shadow, as is shown in this figure. If some of the light was not bend around the object then the shadow would be perfectly black, which is not the case. This property does not hold true for particles and thus provides evidence that light is a wave. 6 1.5.3 Properties of Electromagnetic Radiation Interference + = Constructive Destructive Light Source We will now consider interference, which is another property of light that can not be explained by the particle model. If two waves identical in every form reach a single point in space the combined wave will equal the sum of the two waves. If two peaks arrive at the same time, you get a very large peak or if tw troughs are large trough - This is an example of constructive interference as shown in the above figure. However, if a peak and trough arrive at the same time, they cancel each other out in a process called destructive interference as shown in the figure. The double slit experiment shows the interference of light. Essentially as in the diffraction slide, when light reaches each gap it diffracts and light in seen from all directions. When the peaks overlap bright patches are seen, but when the peaks and troughs overlap dark regions are seen. This is simply the constructive and destructive interference. In the case of particles, it is possible to explain the constructive case as both sets of particles essentially creating a more intense particle beam, but there is no way to explain the case of the particles canceling themselves out. Again this is another compelling reason to believe that light is a wave rather than a particle. 7 1.5.3 Properties of Electromagnetic Radiation Photoelectric Effect Electrons Light shining on clean sodium metal in a vacuum The problems with this result if light is a wave: Increasing the intensity of the light INCREASED the number of electrons emitted but NOT their energy Red Light does not cause any electrons to be emitted Let us now consider a further property of light called the photoelectric effect. This was an experiment conducted by Einstein who showed that when you shine light on sodium in a vacuum you are able to produce electrons. This experiment led to several problems of the wave model of light. Namely, intensity of the light INCREASED the number of electrons emitted but NOT their energy. -Increasing the To explain - If light was a indeed wave, then increasing its intensity would simply increase its amplitude and we would thus expect the same number of emitted electrons, except that when hit by the light they would be forced out of their orbits with a higher speed and therefore a higher kinetic energy. This 8 1.5.3 Properties of Electromagnetic Radiation Properties of EM Radiation Can be Explained by: Wave Particle Reflection Yes Yes Refraction Yes Yes Diffraction Yes No Interference Yes No Photoelectric Effect No Yes In summary we can see that light exhibits properties that can be explained by both the particle and wave models and thus light it neither solely a particle of a wave. 9 1.5.3 Properties of Electromagnetic Radiation The Photon (Quantum) Model of Light: Planck’s Hypothesis: ‘Light can only exist in discrete bundles with energy given by: E = hv Where, h = Planck’s constant = 6.626 E-34’ Light consists of bundles of energy called photons Electrons This led to the development of what we now call the quantum model of light. We assume that light is made up of bundles of energy that are called photons, where each photon has the property of a wave. This measure of photon’s energy explains why in Einstein’s experiment red light failed to emit any electrons from the sodium. Essentially, the red light photons have insufficient energy to successfully knock the sodium electrons off their orbits and therefore nothing is detected. This does not change no matter how intense you make the red light as this does not change the energy of the red photons. This is the same principal behind detector arrays used in remote sensing systems, as different substances are needed to detect light of different wavelengths. 10 1.5.4 Using Photons in Remote Sensing Waves: Wavelengths may be split into component bands or channels for sensing and visualization, they can further be related to specific biophysical conditions within plants, soils, etc. Particles: Photons build up the electrical charge on a sensor device/ccd and provide the basis for differentiating patterns brightness In summary, the nature of light being both a particle and a wave via the photon model is very important for remote sensing. This is because we are able to directly use properties of both models. The wave model allows us to consider wavelengths and split these into bands or channels, while the particle model allows us via the photoelectric effect to consider light’s effect on sensors. 11
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