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78       DIFFRACTION AND INTERFERENCE IN IMAGE FORMATION























































                                Figure 5-13
                                Ernst Abbe, 1840–1905. Principles of microscope and objective lens design, the theory of
                                image formation in the microscope, and standardized lens manufacturing procedures all
                                trace their beginnings to the work of Ernst Abbe and his collaborations with Carl Zeiss in
                                Jena, Germany, in the 1860s. Until then, lens making was an art and a craft, but the new
                                industrial philosophy demanded technical perfection, lens designs based on theory and
                                research, and improvements in raw materials. At Abbe’s initiative, lens curvatures were
                                examined using an interference test with Newton’s rings, and lens designs were based on
                                Abbe’s sine-squared condition to remove aberrations. He created the first planachromatic
                                lens, and after much research, the apochromatic lens, which was commercially sold in 1886.
                                After many false starts over a 20-year period, the research-theory-testing approach for
                                manufacturing lenses proved to be successful. These improvements and new photographic
                                lens designs required new types of glass with values of refractive index and color dispersion
                                that were not then available. Abbe and Zeiss won grants and developed new glasses in
                                collaborations with the industrialist, Otto Schott, owner of the Jena Glassworks. Other
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