Abstract

<p>The authors suggest that the optical qualities of a transparent material are given with the help of three graphs, one a plot of the reciprocal dispersion 1/(<i>nF</i>–<i>nC</i>) against the υ-value, the other two giving two data ρ<i>A</i> and ρ<i>h</i> signifying the deviation of the dispersion of the glass toward the red and violet ends of the spectrum from the regular standard. A universal dispersion formula is given which permits one (a) to calculate the refractive index for any given wave-length if the above data are given; and (b) to compute the above data if the refractive index is given for four or more values.</p><p>The dispersion formula is linear with respect to the given data.</p><p>The graphs so designed permit one to estimate immediately the powers of a doublet corrected for two wave-lengths and the amount of the secondary spectrum in the red and violet ends for any two given glasses.</p><p>Testing these formulas for different types of glass and other optically important materials (fluorite, quartz, lithium fluoride, salt, etc.) shows a agreement with the measurements throughout the spectrum which is sufficient for optical calculation (±2×10<sup>-5</sup>).</p>

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