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A polarimeter is a device that uses optical activity to measure<br />

the angle of rotation of polarized light. It consists of an elongated<br />

optical cell mounted between two polarizing lenses, one of which<br />

is fixed (polarizer) and the other being free to rotate (analyzer).<br />

The unpolarized light that is passing through the polarizer is<br />

polarized; the analyser intercepts this polarised light beam with<br />

its transmission axis at an angle qJ to the axis of the polyrizer. This<br />

angle qJ is measured by the registering system (fig. 21.16).<br />

21.4. QUANTUM OPTICS<br />

21.4.1. Photoelectric Effect<br />

In the latter part of the 19 th century, experiments showed that<br />

when light is incident on certain metallic surfaces, electrons are<br />

emitted from the surfaces. This phenomenon is known as the<br />

photoelectric effect could not be understood within the framework<br />

of classical physics.<br />

Fig. 21.17 is a schematic diagram of an apparatus in which the<br />

photoelectric effect can occur. The evacuated glass tube contains a<br />

metal plate (the cathode), connected to the negative terminal of a<br />

battery. Another metal plate (the anode) is connected to the positive<br />

terminal of the battery. When the tube is kept in the dark,<br />

there is no current in the circuit. However, when monochromatic<br />

light of the appropriate wavelength strikes the shines on cathode,<br />

a current is generated that can<br />

be measured.<br />

Fig. 21.17. Circuit diagram for<br />

observing the photoelectric effect:<br />

A - anode; C - cathode<br />

The first successful explanation<br />

of the photoelectric<br />

effect was given by Einstein in<br />

1905. He proposed that light<br />

could not only became in waves,<br />

but also come in packets<br />

of energy, called photons. As a<br />

photon hits an electron, it<br />

transfers a certain amount of<br />

energy. If the energy is sufficient,<br />

the electron is ejected,<br />

striking the surface of the metal where it can be detected. According<br />

to Einstein, the law of conservation of energy during the<br />

photoelectric effect is:<br />

mV 2<br />

hv = A +-- (21.14)<br />

2<br />

where hv is the energy of the photon (here h is Plank's constant,<br />

v is frequency), A is called the work function of the metal, and<br />

m;2<br />

the kinetic energy of the electron.<br />

The work function represents the minimum energy required for<br />

the photoelectric effect to occur:<br />

hv . = A<br />

min<br />

(21.15)<br />

or:<br />

c<br />

h-=A<br />

Am"'<br />

(21.16)<br />

where A is called the cutoff wavelength.<br />

max<br />

Example. A sodium surface is illuminated with light of wavelength<br />

300 nm. The work function for sodium is 2.46 eV (I eV = 1.602.10- 191).<br />

Find the kinetic energy of the ejected photoelectrons.<br />

Solution. The energy of the illuminating photon is:<br />

34 8<br />

hv =he (6.626.10- J ·s)(3·10 m 'S-I) =6.626 .10- 19 J =4.14 eV.<br />

A. 300·1O- 9m<br />

21.4.2. Laser<br />

The term LASER is an acronym for Light Amplification by<br />

Stimulated Emission of Radiation. Laser action can be understood<br />

by considering the main processes: pumping, spontaneous emission,<br />

stimulated emission, and absorption.<br />

Pumping. This is a process necessary for laser action by which<br />

the particles (atoms or molecules) of the active medium are elevated<br />

to an excited electronic state by means of electrical discharge,<br />

passage of an electric current, or exposure to an intense<br />

radiant source.<br />

Spontaneous Emission. Particles in an excited electronic state<br />

may lose all or part of their elevated energy by spontaneous<br />

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