Page 93 - Fundamentals of Light Microscopy and Electronic Imaging
P. 93

76       DIFFRACTION AND INTERFERENCE IN IMAGE FORMATION









                                                                                            + 2 nd


                                                   Collimated
                                                     beam                                   + 1 st

                                                                                            + 0 th

                                                                                            – 1 st
                                      Lamp
                                                Mask      IR filter  Grating
                                                             Aperture
                                                                                            + 2 nd



                                                                                             Screen




                                   Figure 5-12
                                   Demonstration of diffraction with a grating. An optical bench may be used to hold
                                   optical elements at fixed locations. A collimated bright white light source and a heat-
                                   cut filter are used to illuminate a diffraction grating covered by a closely apposed
                                   aperture mask containing a 2–3 mm hole or slit. If a slit is used instead of a hole, it
                                   should be perpendicular to the rulings in the grating.

                                   better, a heat-reflecting mirror (hot mirror) between the lamp and the grating to
                                   keep the grating from melting. It is also useful to place an opaque metal mask
                                   (aluminum foil) containing a 3–4 mm diameter hole immediately in front of the
                                   grating in order to obtain a more sharply defined diffraction pattern.
                                      On the viewing screen, notice the central 0th-order spot, white and very
                                   bright, flanked on two sides by 1st-, 2nd-, and higher-order diffraction spots,
                                   each of which appears as a bright spectrum of colors, with the blue ends of the
                                   spectra oriented toward the 0th-order spot. Higher-energy blue wavelengths are
                                   diffracted the least and are located closest to the 0th-order spot within each
                                   diffraction-order spectrum and in accordance with the relation already given,
                                   showing that the diffraction angle     λ/d. It is easy to measure the angle
                                   by simple trigonometry, particularly when monochromatic light is used. When
                                   the grating is illuminated with monochromatic light from a laser pointer (λ
                                   625–665 nm), all of the diffraction spots appear as sharply defined points.
                                      Using a white card as a screen, move the card closer to the grating. Observe
                                   that the diffraction angle defined by the grating and the 1st- and 0th-order dif-
                                   fraction spots remains constant and that the spots move closer together as the card
   88   89   90   91   92   93   94   95   96   97   98