Page 322 - Electrical Properties of Materials
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304                           Lasers

                                   12.6.2  The gaseous discharge laser
                                   When a current is passed through a gas, as happens in a fluorescent lamp or
                                   a neon sign, most of the charged particles making up the current come from
                                   gas atoms that have been ionized by collision. But as well as completely dis-
                                   possessing atoms of their electrons, the collisional process causes some bound
                                   electrons to gain extra energy and go into a higher state, that is, a state de-
                                   scribed by higher quantum numbers. You will remember that we had a formula
                                   for the simplest gas, hydrogen, in Chapter 4:

                                                                  13.6
                                                             E n =–   .                    (12.34)
                                                                   n 2
                                   This shows that there is an infinite number of excited states above the ground
                                   state at –13.6 eV, getting closer together as the ionization level (0 eV) is
                                   approached.
                                     In the helium–neon laser the active ‘lasing’ gas is neon, but there is about 7–
                                   10 times as much helium as neon present. Consequently, there are quite a lot of
                                   helium atoms excited to states about 20 eV above the ground state (Fig. 12.5).
                                   Now helium atoms in these particular states can get rid of their energy in one
                                   favourable way—by collision with other atoms that also have levels at the same
                                   energies. Since neon happens to have suitably placed energy levels, it can take


                                   over the extra energy making the population of the upper levels (3a ,3b )more
                                   numerous than that of the lower level (2 ), and thus laser action may occur. It

                                   is, of course, necessary to adjust gas pressures, discharge tube dimensions, and
                                   current quite critically to get the inverted population; in particular it is obtained
                                   only in a fairly narrow range of gas pressures around 1 Torr.
                                     The reflectors are external to the tube, as shown in Fig. 12.6. Note that
                                   the windows are optical flats, oriented at the Brewster angle, θ B , in order to






                                       21
                                                           3a                        3a′
                                                               Collisions
                                       20
                                                           3b                        3b′
     Fig. 12.5
     The energy levels of interest for a                        1.15 μm                 632.8 nm
     helium–neon laser. Helium atoms get  19
     excited to levels 3a and 3b due to the  Energy (eV)
     impact of accelerated electrons. Neon                                           2′
     atoms, which happen to have the                  Electron
                                       18             impact

     same energy levels (3a ,3b ) collide

     with helium atoms and take over the
     extra energy. Laser action may now
     occur at two distinct wavelengths,
     corresponding to radiative transitions

     from levels 3a and 3b to a lower   0                 1                          1′

                                                 H  u i l e  m                N  o e  n
     level 2 .
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