Nature of light
OPTOMETRY · SEMESTER 2 Nature of light Physical and Geometric Optics START READING NOTES Contents of This Topic Nature of light THE NATURE OF LIGHT LIGHT WAVES VISIBLE LIGHT Wavelength: Long Short Meets Microwave THE SUN’S RAYS THE RAY APPROACH A DIVERGING PENCIL Air 1.001 PHASE DIFFERENCE Nature of light NATURE OF LIGHT CHAPTER CONTENTS THE NATURE OF LIGHT……………………………………………………………………………………………………………………………….. 1 LIGHT WAVES……………………………………………………………………………………………………………………………………………… 3 VISIBLE LIGHT …………………………………………………………………………………………………………………………………………….. 5 THE RAY APPROACH ………………………………………………………………………………………………………………………………….. 7 REFRACTIVE INDEX ……………………………………………………………………………………………………………………………………. 9 PHASE DIFFERENCE…………………………………………………………………………………………………………………………………… 9 THE NATURE OF LIGHT Until the beginning of the 19th century, light was considered to be a stream of particles, emitted by a light source, which stimulated the sense of sight on entering the eye. The chief architect of the particle theory of light was Newton. With this theory, he provided simple explanations of some known experimental facts concerning the nature of light, such as the laws of reflection and refraction. According to Newton, the particles emitted by a source travelled in a straight line until the boundary of a new medium was encountered. He derived a relationship that predicted that the speed of light in a medium such as water would be greater than its speed in air. This is exactly the opposite of the result predicted by the wave theory. Foucault later found a value for the velocity of light in a medium that showed that Newton’s prediction was incorrect. This played a large part in discrediting the socalled corpuscular theory of light.Nature of Light Most scientists initially accepted Newton’s particle theory of light. However, during Newton’s lifetime, another theory was proposed. In 1678, a Dutch physicist and astronomer, Christian Huygens (1629-1695), showed that a wave theory of light could also explain the laws of reflection and refraction. In addition, his theory could account for the fact that light entering a medium from air at an angle would be bent. The wave theory did not receive immediate acceptance for several reasons. All the waves known at the time (e.g. sound and water waves) travelled through some sort of medium; but light from the Sun could travel to Earth through empty space. Furthermore, it was argued that if light were some form of wave, it would bend around obstacles; hence, we should be able to see around corners. It is now known that light does indeed bend around the edges of objects. This phenomenon, known as diffraction, is not easy to observe because light waves have such short wavelengths. Even though experimental evidence for the diffraction of light had been discovered by Francesco Grimaldi (1618- 1663) around 1660, for more than a century most scientists rejected the wave theory and adhered to Newton’s particle theory. This was partly due to Newton’s great reputation as a scientist. The first clear demonstration of the wave nature of light was provided by 1801 by Thomas Young (1773-1829), who showed that under appropriate conditions, light exhibits interference behaviour. That is, at certain points in the vicinity of two sources, light waves can combine. They can even cancel each other by destructive interference. Such behaviour could not be explained by a particle theory. A few years later, and building on Young’s experimental work, Augustin Fresnel (1788-1827) definitely signalled the end of 18th century physics and the birth of modern optics. He extended the wave theory of light to a large class of optical phenomena and developed the theoretical framework that became the foundation of modern optics. The most important development concerning the theory of light was the work of James Clark Maxwell, who in 1865 predicted that light was a form of high-frequency electromagnetic wave. His theory predicted that these waves should have a speed of 3 x 108 m/s. This value is in agreement with the experimentally measured speed. Light is transmitted in the form of transverse waves. In the diagram below we see that the electric and magnetic vectors associated with an electromagnetic wave are at right angles to each other and also to the direction of wave propagation. Figure 1.1: Schematic diagram of an electromagnetic wave propagating in the x direction. The electric field vector E vibrates in the xy plane, and the magnetic field vector B vibrates in the xz plane Although the classical theory of electricity and magnetism explained most known properties of light, some subsequent experiments could not be explained by the assumption that light was a wave. The most striking of these was the photoelectric effect, discovered by Hertz. Hertz found that clean metal surfaces emit charges when exposed to ultraviolet light. In 1905, Einstein published a paper that formulated the theory of light quanta and accounted for the photoelectric effect. He reached the conclusion that light is composed of corpuscles, or discontinuous quanta of energy. Furthermore, he asserted that light interacting with matter also consists of quanta, and he brilliantly worked out the implications of the photoelectric process. Nature of Light More specifically, Einstein showed that the energy of a photon is proportional to the frequency of the electromagnetic wave: E = h·f where h= 6.63 x 10-34 Js is Planck’s constant. This theory contains features of both the wave and particle theories of light. In view of these developments, light must be regarded as having a dual nature. That is, to best describe light’s behaviour, we need in some cases to consider light to be acting as a wave and in others to be acting as a particle. For example, classical electromagnetic wave theory provides adequate explanations of light propagation and of the effects of interference, whereas the photoelectric effect is best explained by assuming that light is a particle. The nature we consider light to have in a particular situation will depend on which is the most appropriate model for those circumstances.. . In this course, we consider Physical Optics which involves phenomena which can only be explained by reference to the nature of light, as well as phenomena which do not depend on the nature of light, but only on its path. This