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Lenses and Waves

Lenses and Waves

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1655-1672 - DE ABERRATIONE 89<br />

In his view, white light may also be produced by mixing yellow <strong>and</strong> blue<br />

alone. By maintaining that there are only two primary colors, Huygens drew<br />

upon a letter published in the 88th issue of Philosophical Transactions (18<br />

November 1672, O.S.) in which Newton responded to comments by Hooke.<br />

Among other things, Hooke had claimed that two primary colors sufficed to<br />

explain the diversity of colors. Hooke’s comments had not been published<br />

<strong>and</strong> his name was not mentioned in Newton’s reply. Huygens referred to<br />

Hooke’s prism experiments in Micrographia (1665). He suggested an<br />

experiment to verify whether all colors are necessary to produce white light.<br />

Evidently, Huygens had problems with Newton’s claims about the nature of<br />

light. What these problems were exactly, why he would prefer just two<br />

colors, <strong>and</strong> what he meant by ‘explaining by physics, mechanics’ <strong>and</strong> ‘some<br />

hypothesis of motion’ is not explained in the letter. In chapter 6 we will be<br />

able to reconstruct, in retrospect, the background to Huygens’ remarks. He<br />

had a reasonably clear idea what mechanistic explanation ought to be, but it<br />

appears that by 1672 he had not yet elaborated in much detail his conception<br />

of the mechanistic nature of light.<br />

Besides raising objections to Newton’s ideas on the nature of light <strong>and</strong><br />

colors, Huygens summed up his own treatment of chromatic aberration:<br />

“Apart from that, as regards the effect of the different refractions of rays in telescope<br />

glasses, it is certain that experience does not correspond with what Monsieur Newton<br />

finds, because by considering only the distinct picture that an objective of 12 feet makes<br />

in a dark room, one sees that it is too distinct <strong>and</strong> too sharp to be able to be produced<br />

by rays that disperse from the 50th part of the aperture so that, as I believe to have<br />

brought to your attention before, the difference of the refrangibility may not always<br />

have the same proportion in the large <strong>and</strong> small inclinations of the rays on the surfaces<br />

of the glass.” 166<br />

There is no reason to assume that Huygens had not actually performed this<br />

test. 167 We may only wonder why he had not done so in 1665. Then again, the<br />

alleged observations remained qualitative. We may wonder what had<br />

prompted Huygens to consider the issue of chromatic aberration anew.<br />

Assuming that the full import of Newton’s theory had occurred to him as a<br />

result of Pardies’ comments, he may have realized at some time by late 1672<br />

that chromatic aberration was a problem of refraction <strong>and</strong> thus inherent to<br />

lenses. As Newton emphasized in his reply to Hooke: “And for Dioptrique<br />

Telescopes I told you that the difficulty consisted not in the figure of the<br />

166 OC7, 243-244. “Au reste pour ce qui est de l’effect des differentes refractions des rayons dans les verres<br />

de lunettes, il est certaine que l’experience ne s’accorde pas avec ce que trouve Monsieur Newton, car a<br />

considerer seulement la peinture distincte que fait un objectif de 12 pieds dans une chambre obscure, l’on<br />

voit qu’elle est trop distincte et trop bien terminée pour pouvoir estre produite par des rayons qui<br />

s’escarteroient de la 50 me partie de l’ouverture de sorte que, comme je vous crois avoir m<strong>and</strong>è desia cy<br />

devant la difference de la refrangibilité ne suit pas peut estre tousjours de la mesme proportion dans les<br />

gr<strong>and</strong>es et petites inclinations des rayons sur les surfaces du verre.”<br />

167 Because he was a ‘devoted water-color painter’, Shapiro is puzzled about Huygens’ assertion that<br />

yellow <strong>and</strong> blue may produce white, “… because this is contrary to all beliefs about color mixing held in<br />

the seventeenth century.” Shapiro, “Evolving structure”, 223-224. We should bear in mind that Huygens<br />

was also an experienced employer of magic lanterns.

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