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192    So l i d - S t at e   La s e r s                                                                                            Zigzag Slab Lasers     193


                      Diffraction
                      In most applications, the slab represents a distributed aperture as the
                      propagating beam enters and exits. To minimize diffractive losses,
                      the slab’s Fresnel number must be on the order of 10 or larger. The
                      Fresnel number is given by

                                             N = a / λL                     (8.6)
                                                 2
                                                     eff
                      where a is the half-thickness of the slab and L  is the effective length
                                                            eff
                      of slab in zigzag propagation. Thus, for λ = 1 µm and a slab thickness
                      of ~2 mm, the slab length is limited to ~10 cm. To overcome this limi-
                      tation,  slab  architectures  have  been  developed  in  which  the  beam
                      propagates across, instead of within, a thin gain medium. A recently
                                                                         TM
                      developed architecture that uses this approach is the Thinzag  archi-
                      tecture (Chap.9).
                      Slab Fabrication
                      Because the beam typically makes many bounces from the TIR faces
                      as it zigzags down the slab, the flatness (figure) and parallelism of
                      these surfaces is critical for the laser’s ultimate beam quality. Typical
                      polishing specification for these surfaces is λ/10 in zigzag transmis-
                      sion.  Holding  this  type  of  specification  for  large  aspect  ratio/thin
                      slabs becomes very difficult. The polishing process stresses the slab,
                      and when released from the polishing fixture, YAG slabs can change
                      their shape in a phenomenon known as springing. A reasonable aspect
                      ratio of slab height to thickness that maintains the slab shape is on the
                      order of 20.

                      Slab Size
                      Before the development of ceramic laser host materials (c.f. Chap. 7),
                      crystalline host material sizes were limited by the crystal’s growth
                      process. For Nd:YAG, the largest commercially available boules yield
                      slabs that are ~3 cm tall. Ceramic Nd:YAG has increased this dimen-
                      sion by a factor of 5, and further increases will be possible in the near
                      future. Another method of overcoming the size limitation of the crys-
                      talline  host  material  is  diffusion  bonding,  which  was  used  on  the
                      Diode-Array Pumped Kilowatt Laser (DAPKL) laser in the mid-1990s
                      and is described later in this chapter.


                 8.3  Traditional Side-Pumped Slabs


                      8.3.1  Architecture and Technical Issues
                      Figure 8.1 showed a schematic diagram of a traditional side-pumped
                      slab.  This  type  of  slab  is  usually  pumped  by  close-coupled  diode
                      arrays  through  a  coolant  that  flows  over  the  slab’s  TIR  faces.  The
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