Page 113 - The Indian Optician Digital Edition March-April 2021
P. 113

Now consider how the thickness of the
                                                              Alvarez lens changes when, starting from the
                                                              afocal position of the elements, the components
                                                              are slid horizontally in relation to one another
                                                              (Figure 3).
                                                                 It can be seen that along the vertical
                                                              meridian of the combination the thickness does
                   Figure 1.  Coomponents of the Alvaarezz lens  not change, the Alvarez lens remains afocal
                                         A
                                                              in the vertical meridian. Along the horizontal
                                                              meridian, however, as the separation increases
                                                              from the zero position shown in Figure 3(b), the
                                                              thickness of the combination starts to increase.
                                                              It will be realised that this movement produces
                                                              a plano-cylinder. The Alvarez lens now behaves
                                                              like a plano-cylinder whose cylindrical effect
                                                              increases as the separation of the components
                                                              is increased along the horizontal meridian. It will
                                                              be seen that the axis lies at 45°.
           F Figure 2. Alvarez lens arrangedd to form plus and minus lenses
                                                      n
                                                    s
                                             a
                                                                 It follows that if the two components are
                                                              separated in both the vertical and horizontal
          lens would still be afocal if its two components
                                                              meridians the resulting Alvarez lens will possess
          were placed together, with their plane surfaces
                                                              both spherical and cylindrical power, i.e., it has
          in contact. Once again, the absence of material
                                                              become a variable power sphero-cylindrical lens.
          from one component is precisely compensated
                                                              As stated above, the axis of the cylinder will lie
          for by the presence of material from the second.
                                                              along the 45° meridian of the elements shown in
             Now consider the cross-sectional shapes          Figures 2 and 3.
          of the resulting element when the two                  The contact surface between the two
          components are separated by sliding the             elements does not need to be a plane surface
          two components along their plane surfaces           as can be seen in Figure 4 which shows a
          as shown in Figures 2(b) and 2(c) where the         cross-sectional view of a curved form of Alvarez
          components have been separated by sliding           lens. However, in designing a curved interface,
          the second component in relation to the first,       sufficient space must be allowed between the
          the plane surfaces remaining in contact. It
          can be seen that an optical element is formed
          which has either two convex surfaces (Figure
          2(b)) where it is seen that the thickness of this
          element varies in every meridian in exactly
          the same way as the thickness of a biconvex
          spherical lens. The further the movement of one
          component in relation to the other, the greater
          the increase in the power of the lens.

             In Figure 2(c), the two components of the
          Alvarez lens have been slid in the opposite
          direction, when the resulting optical element is
          seen to possess two concave surfaces forming
          a minus lens. Once again, the further the
          movement of one component in relation to
          the other, the greater the increase in the
                                                                                                p
                                                                                      g
                                                                                                          e
                                                                                                        n
                                                                 Figure 3.  Alvarez lens arranged to form a plano--cylinder
                                                                            r
          power of the lens.
                                                                               |  MAR-APR 2021  | 109    LENSES


   Mar-Apr 2021 SK.indd   57                                                                                 26-04-2021   13:31
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