Wave properties of light

In vacuum light always travels at the same speed:
c = 3.0 x 108 meters per second
Until the middle of the 1800's, the generally accepted theory of light was the particle picture. In this viewpoint, advocated by Newton, light was considered to be a stream of tiny particles. However, in the late 1800's, the particle picture was replaced by the wave theory of light. This was because certain phenomena associated with light, namely refraction, diffraction and interference, could only be explained using the wave picture. Visible light is just one particular type of electromagnetic radiation. Other types of electromagnetic radiation include radio waves, infrared radiation (heat), ultraviolet radiation, x-rays and gamma-rays. The different types of radiation are distinguished by their wavelength, or frequency. The wavelength of a photon is determined by the amplitude of the emitting electron's jump between shells. More info on how light is made.

For example, blue light has a wavelength (in vacuum) of 434 x 10 -9 meters = 434 nanometers (nm), while red light has a wavelength of 768 nm. Radiation outside the visible spectrum with wavelengths longer than red light is called infrared, while radiation with wavelength shorter than blue is called ultraviolet. The theory which accurately describes the wave-like properties of all types of electromagnetic radiation is called Maxwell's Theory of Electromagnetism. The wavelength of a photon is determined by the electron's jump between shells as the photon is formed. In the early 20th century, experiments revealed that there were some phenomena associated with light that could only be explained by a particle picture. Thus, light as it is now understood, has attributes of both particles and waves. In this Chapter we will deal mainly with the wave attributes of light. The particle-like behavior of light is described by the modern theory of quantum mechanics.


General Properties of Waves

We first introduce some terminology associated with waves. Let us imagine that we drop a rock in the middle of a still pond and watch the waves emanating out from the center.

Waves originating from a point source.

We assume the wave pattern is regular, and consider the following characteristics of these waves.

Variable Definitions

The wavelength ( l )
The speed ( v )
The Period ( T )
The period can be expressed in terms of the speed and wavelength:

T = l / v



The frequency ( f ) The frequency can be expressed as the inverse of the period:

f = T -1



Using the expression for T above we get the useful expression:

v = f l



A ray is a line drawn from one wave crest to another which intersects each crest at right angles. For light waves, the rays always point in the direction of the motion. Rays therefore provide a useful representation for describing the motion of light waves.

Rays in relation to waves
Sometimes, if many point sources lie close together and in a straight line, they give rise to plane waves, whose crests all lie in a straight line.

The formation of plane waves

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