Circular and Elliptic Polarization of Light Waves

This paper contains an experimental investigation of the phenomena of elliptic polarization resulting from the reflexion of polarized light from metallic surfaces, and the theory on which they are explicable; the analytical results being given in a tabular form, and applied to the cases of the experiments themselves.


Author(s):  
A. Hutchinson

A determination of the constants of elliptic polarization of light reflected from a fresh cleavage surface of antimonite enabled Professor P. Drude to calculate two of the indices of refraction of this substance as 5.17 and 4.49 respectively. Instead, however, of the symmetry-axes of the crystal, regarded as belonging to the orthorhombic system, coinciding with the principal vibration directions in the plane (010), he found that the latter were inclined to the former lines at angles which varied in different observations between 2.6° and 15.4°. These observations, which indicate that the symmetry of antimonite is of the oblique or anorthie type, stand in opposition to those of Professor O. Mügge, who found that exceedingly thin flakes of antimonite placed between crossed nicols in direct sunlight transmitted sufficient light of a deep red colour to enable him to determine the extinction as straight.


That heat and light were varieties of the same phenomenon, i.e. vibrations in an all pervading aether, came to be widely accepted in the 1840s and ’50s (1). This was also the period when the principle of the conservation of energy was developed and applied. While a great deal has been written on the development of the principle (2), there has been comparatively little discussion on the manner in which the principle was applied. It was quickly realized that the principle had immediate applications to the study of nature in all her forms as Hermann Helm holtz pointed out in his Ueber die Erhaltung der Kraft (3). My object in this paper is to trace the application of the principle to optical phenomena and in particular to that most contentious of phenomena— the absorption of light (4). The two scientists who considered this problem were George Gabriel Stokes (5), Lucasian Professor of Mathematics at Cam ­ bridge, and Anders Jonas Angstrom (6), assistant Professor of Astronomy at Uppsala. In establishing his version of the undulatory theory of light, Augustin Fresnel (7) had considered only the mathematical behaviour of light waves. He had not dealt in any depth with the physical meaning of waves propagated in the aether. Because the double refraction and polarization of light required waves to be transversely propagated, he maintained that the aether needed to do this must necessarily exist (8). Fresnel in developing his theory had restricted his study to explaining either phenomena which were not affected by the material nature of the body which caused them (e.g. diffraction), or phenomena which were dependent on a special structure of matter (e.g. double refraction and polarization).


1845 ◽  
Vol 135 ◽  
pp. 269-282 ◽  

In a former paper, inserted in the Philosophical transactions, 1843, Part I., I detailed observations on some phenomena of elliptic polarization by reflexion from certain metallic surfaces; but with reference only to one class of comparative results. From these I have been led to pursue the subject into other relations besides those at first contemplated; but, from various causes, have only been able tat this interval to submit to the results to the Royal Society as a sequel to my former observations. The changes in the degree of ellipticity, investigated in my former paper, correspond to certain changes in the thickness of metallic films . If we now consider the case of reflexion from a simple polished metallic surface , and admit that in this case it may be supposed to take place by the penetration of the ray to a certain minute depth, or to some action of a thin transparent lamina of the metal, then, in like manner, —dependent on the law of metallic retardation, —the effect would vary with a difference in the effective thickness of the lamina, produced by changing the inclination of the incident ray; and that this is the case in general is well known, viz. that as the incidence is increased, the ellipticity increases up to a maximum, which occurs for most metals at an incidence between 70° and 80°, beyond which it decreases up to 90°.


Optik ◽  
2019 ◽  
Vol 198 ◽  
pp. 163308
Author(s):  
Zhenfei Jiang ◽  
Ziyuan Wang ◽  
Ke Cheng ◽  
Tao Wang

1843 ◽  
Vol 133 ◽  
pp. 35-43 ◽  

The peculiar character impressed on light, originally polarized in a plane inclined to that of incidence and reflected from a metallic surface, discovered by Sir D. Brewster, and named by him elliptic polarization, has been since shown to coincide with what, from a different analogy, is termed elliptic polarization in the undulatory theory ; and which is also exhibited by an interposed plate of mica, or by total internal reflexion, as in Fresnel’s rhomb. The most distinct experimental test of the existence of this property and a measure of its amount, is the well-known dislocation of the polarized rings, seen by a plate of calc-spar and a tourmaline, in light of this kind. And this, as in other similar cases, is represented theoretically by a formula for the intensity at any part of the plate, in the case of the rhomb , for circular polarization, as in Mr. Airy’s tract on the undula-tory theory (Art. 160.) ; and for elliptic , as in the same author’s paper on quartz. A general formula for the rings in light of all degrees of ellipticity, not restricted by the peculiar conditions of the rhomb , has not been hitherto published : but I am in­debted to Mr. Airy for the communication of such a formula, which will be given in the sequel, as leading to some remarkable applications.


In a former paper, published in the Philosophical Transactions for 1843, the author gave an account of the observations he had made on the phænomena of elliptic polarization by reflexion from certain metallic surfaces, but with reference only to one class of comparative results. He has since pursued the inquiry into other relations besides those at first contemplated, and the present paper is devoted to the details of these new observations, obtained by va­rying the inclination of the incident rays, and the position of the plane of analysation, and by employing different metals as the re­flecting surfaces. By the application of the undulatory theory of light to the circumstances of the experiments and the resulting phænomena, the law of metallic retardation is made the subject of ana­lytic investigation. A polariscope of peculiar construction, of which a description is given at the conclusion of the paper, was employed in the experiments: and tables are subjoined of the numerical re­sults of the observations.


The author, by way of introduction, passes in review the labours of various inquirers on the subject of the elliptic polarization of light, and notices more particularly those of Sir David Brewster, who first discovered this curious property, as recorded in the Philosophical Transactions for 1830; of Mr. Airy, in the Cambridge Transactions for 1831 and 1832; and of Professor Lloyd, in the Philosophical Transactions for 1840, and in the Reports of the British Association for 1841. He then proceeds to give an account of his own experimental examination of the phenomena of elliptic polarization in the reflection of light from various surfaces, by observing the modifications of the polarized rings under different conditions, both of surface and of incidence, and by endeavouring to ascertain both the existence and amount of ellipticity, as shown by the dislocation of those rings, and to determine its peculiar chataracter, as indicated by the direction in which the dislocation takes place; the protrusion of the alternate quadrants appearing it certain cases, in one direction, and in others in the opposite. These observations are reducible to two classes; first, those designed to contribute to the inquiry, what substances possess the property of elliptic polarization, by examining the light reflected from bodies; and second, those made on certain cases on of films of several kinds, including those formed on metals by oxidation or other action upon the metal itself, as well as by extraneous deposition. The author found the general result, in all these cases, to be, that from any one tint to another, through each entire order of tints, the form of the rings in the reflected light undergoes certain regular changes, passing from a dislocation in one direction to that in the opposite, through an intermediate point of no dislocation, or of plane polarization; and thus exhibiting a dark and a bright centred system alternately, as long as the order of tints are preserved pure. These changes in the form of the rings, he observes, are precisely those expressed by successive modifications of Mr. Airy's formula, corresponding to the increments in the retardation which belong to the periodical colours of the films. The remaining portion of the paper is occupied by a description of the apparatus and mode of conducting the experiments; and of the observations made on mica, on decomposed glass, plumbago, daguerreotype, and other metallic plates, and on the coloured films produced on steel and on copper by the action of heat, and of voltaic electricity. The author gives, in conclusion, an analytical investigation of Mr. Airy’s general formula.


2021 ◽  
Author(s):  
A.P. Pylaev

On basis of the known experiments it is considered the existing conceptions about the linear and elliptic polarisation of light. It is shown that the conception of the linear polarization does not have the arguments of physical character, and the conception about existence of the elliptic polarisation was founded on mathematical formulae. Since the direct experimental proof of the light elliptic polarization is lacking it is carried out an analysis of the experimental scheme of the indirect confirmation. It is shown that this scheme cannot give such confirmation.


Sign in / Sign up

Export Citation Format

Share Document