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244     Cha pte r  T e n


               feedback in audio systems, for example, when the output from the
               loudspeakers is picked up in the microphone and fed back to the
               amplifier. Both the amplitude and frequency of these oscillations are
               very sensitive to the feedback conditions, for example, by modify-
               ing the amplification or changing the microphone position. In lasers,
               the input power, I , can be provided by different means, but most
                               0
               commonly the energy is supplied by an electrical current or by
               absorption of incident photons. These types of lasers are referred to
               as electrically or optically pumped devices, respectively. The optical
               feedback in lasers is generally provided by classical optical compo-
               nents like mirrors and gratings (see Fig. 10-2b), while the amplification
               relies on quantum physics and the statical properties of photons.
               The optical gain and amplification in the laser medium is obtained
               through the process of stimulated emission of photons, where exist-
               ing photons stimulate emission of further “identical” photons hav-
               ing the same frequency and phase properties. Through the optical
               feedback in combination with the emission spectrum of the gain
               medium, a narrow band photon population with a common phase
               is built up in the optical resonator. A fraction of these photons are
               extracted from the cavity, for example, through a minute transmit-
               tance through one of the mirrors, to form the monochromatic and
               coherent laser emission. For a thorough introduction to laser phys-
               ics, we refer to Svelto’s classical textbook [5].
                  How to recognize a laser? Figure 10-2c and 10-2d illustrate the
               main characteristics of laser output (solid lines) as compared to con-
               ventional light sources (dotted lines). Spectrally, the laser manifests
               itself by emitting one color at a well-defined frequency f . This is
                                                                 0
               referred to as monochromaticity, as opposed to multicolor or spec-
               trally broad emission from conventional sources. The output power
               I  of a laser exhibits a characteristic, sudden increase I , when the
                out                                           out
               input power I  reaches a threshold, I .
                           0                 th
                  The threshold, I , that marks the onset of lasing is reached when
                                th
               the round-trip gain experienced by the photons overcomes the
               round-trip cavity losses, leading to a positive net feedback, and hence
               oscillations. The slope ∂I /∂I  above the lasing threshold, called the
                                    out   0
               slope efficiency, describes the efficiency by which pump energy is
               converted into laser output energy.

          10-3 Dye Lasers
               Dye lasers are optically pumped devices using organic dye molecules
               as gain medium. When optically pumped, the organic dye molecule
               can provide optical gain over a broad frequency range, whereby the
               laser emission frequency is determined by the spectral properties of
               the laser cavity feedback. A range of different dye molecules with
               optical gain spanning the full spectrum from ultraviolet over the vis-
               ible to near infrared frequencies are commercially available. Since the
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