Book contents
- Frontmatter
- PREFACE
- Contents
- On the Steady Motion of Incompressible Fluids
- On some cases of Fluid Motion
- On the Motion of a Piston and of the Air in a Cylinder
- On the Theories of the Internal Friction of Fluids in Motion, and of the Equilibrium and Motion of Elastic Solids
- On the Proof of the Proposition that (Mx + Ny)-1 is an Integrating Factor of the Homogeneous Differential Equation M+N dy/dx = 0
- On the Aberration of Light
- On Fresnel's Theory of the Aberration of Light
- On a Formula for determining the Optical Constants of Doubly Refracting Crystals
- On the Constitution of the Luminiferous Ether, viewed with reference to the Aberration of Light
- Report on Recent Researches on Hydrodynamics
- Supplement to a Memoir on some cases of Fluid Motion
- On the Theory of Oscillatory Waves
- On the Resistance of a Fluid to two Oscillating Spheres
- On the Critical Values of the Sums of Periodic Series
- Supplement to a paper on the Theory of Oscillatory Waves
- Index
On a Formula for determining the Optical Constants of Doubly Refracting Crystals
Published online by Cambridge University Press: 07 September 2010
- Frontmatter
- PREFACE
- Contents
- On the Steady Motion of Incompressible Fluids
- On some cases of Fluid Motion
- On the Motion of a Piston and of the Air in a Cylinder
- On the Theories of the Internal Friction of Fluids in Motion, and of the Equilibrium and Motion of Elastic Solids
- On the Proof of the Proposition that (Mx + Ny)-1 is an Integrating Factor of the Homogeneous Differential Equation M+N dy/dx = 0
- On the Aberration of Light
- On Fresnel's Theory of the Aberration of Light
- On a Formula for determining the Optical Constants of Doubly Refracting Crystals
- On the Constitution of the Luminiferous Ether, viewed with reference to the Aberration of Light
- Report on Recent Researches on Hydrodynamics
- Supplement to a Memoir on some cases of Fluid Motion
- On the Theory of Oscillatory Waves
- On the Resistance of a Fluid to two Oscillating Spheres
- On the Critical Values of the Sums of Periodic Series
- Supplement to a paper on the Theory of Oscillatory Waves
- Index
Summary
In order to explain the object of this formula, it will be necessary to allude to the common method of determining the optical constants. Two plane faces of the crystal are selected, which are parallel to one of the axes of elasticity; or if such do not present themselves, they are obtained artificially by grinding. A pencil of light is transmitted across these faces in a plane perpendicular to them both, as in the case of an ordinary prism. This pencil is by refraction separated into two, of which one is polarized in the plane of incidence, and follows the ordinary law of refraction, while the other is polarized in a plane perpendicular to the plane of incidence, and follows a different law. It will be convenient to call these pencils respectively the ordinary and the extraordinary, in the case of biaxal, as well as uniaxal crystals. The minimum deviation of the ordinary pencil is then observed, and one of the optical constants, namely that which relates to the axis of elasticity parallel to the refracting edge, is thus determined by the same formula which applies to ordinary media. This formula will also give one of the other constants, by means of the observation of the minimum deviation of the extraordinary pencil, in the particular case in which one of the principal planes of the crystal bisects the angle between the refracting planes :
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- Mathematical and Physical Papers , pp. 148 - 152Publisher: Cambridge University PressPrint publication year: 2009First published in: 1880