An Introduction to the Theory of Optics

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E. Arnold, 1904 - 340 من الصفحات

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Application of Fouriers theorem
21
Waves travelling along a stretched string
22
Transverse waves in an elastic medium
24
Condensational waves
26
Spherical waves
27
Waves spreading from a disturbed region of finite size
29
The principle of superposition
31
Refraction and reflexion of waves
32
Wavefront and wave surface
34
ᎪᎡᎢ
35
Fermats principle and its application
41
Light reflected from transparent substances
47
CHAPTER IV
54
35
60
Colours of thin films
67
Brewsters bands
74
Resolving power of compound prisms
79
Historical
81
THE DIFFRACTION OF LIGHT ᎪᎡᎢ PAGE 46 Huygens principle
84
Laminar zones
88
Preliminary discussion of problems in diffraction
92
Babinets principle
93
Shadows of a straight edge in parallel light
94
Shadows of a straight edge in divergent light
96
Shadow of a narrow lamina
98
Passage of plane waves through a slit
99
Passage of light through a slit General case
102
Passage of light through a circular aperture
103
Shadow of a circular disc
104
Zone plates
105
CHAPTER VI
107
Overlapping of spectra
111
Dispersion of gratings
112
Wire gratings
113
Gratings with predominant spectra
114
Echelon gratings
115
Concave gratings
118
Measurement of wavelength
123
Historical
125
CHAPTER VII
128
Image formed by a lens
129
Resolving power of telescopes
131
Resolving power of the eye
133
Luminous surfaces
134
Illumination of the image of a luminous surface
136
Brightness of stars
139
THE PROPAGATION OF LIGHT IN CRYSTALLINE MEDIA
140
The direction of displacement
162
Wavesurface in uniaxal crystals
168
Propagation of energy
172
Principal refractive indices in biaxal crystals
174
Intensity of illumination in transmitted light
180
Relation between ray velocities
187
ᎪᎡᎢ PAGE 111 The surface of equal phase difference or isochromatic surface
188
Application of quarter wave plate
200
Babinets compensator
201
PART II
204
Simple elongation
205
Simple shear
206
Components of strain
208
Shearing stress produced by combined tension and pressure at right angles
210
Equations of motion in a disturbed medium
211
Equations of the electromagnetic field
214
Maxwells theory
215
Differential equation for propagation of electric and magnetic disturbances in dielectric media
216
Refraction
217
Direction of electric and magnetic forces at right angles to each other
218
Double refraction
219
Problem of refraction and reflexion
221
Reflexion in the electromagnetic theory
222
ᎪᎡᎢ PAGE 141 Reflexion in the elastic solid theory
225
Lord Kelvins theory of contractile æther
230
Historical
232
CHAPTER XI
236
The laws of refraction in absorbing media
239
Free and forced vibrations
240
Passage of light through a responsive medium
243
General investigation of the effect of a responsive medium
244
Wave velocity in a responsive medium according to the electromagnetic theory
246
Dispersion in transparent media
249
Extension of the theory
251
Finite range of free vibrations
253
Absorption
254
Selective refraction
256
173
257
Metallic reflexion
258
The optical constants of metals
262
Reflecting powers of metals for waves of low frequency
266
Connexion between refractive index and density
268
Historical
270
CHAPTER XII
272
Analytical representation of the rotation of the plane of polarization
274
Isotropic substances
275
Allogyric double refraction
278
Crystalline media
279
Isochromatic and achromatic lines
280
174
284
Photogyration in the magnetic field
287
Connexion between the Zeeman effect and magnetogyration
290
Experimental facts and their connexion with the theory
291
Double refraction at right angles to the lines of force
295
Waves diverging from a sphere oscillating in an elastic medium
303
Transmission of energy by electromagnetic waves
310
CHAPTER XIV
319
White light analysed by dispersive media
325
Talbots bands
331
INDEX
337

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الصفحة 150 - The image of the sun thrown on a screen at a distance exceeding 66 feet, through a hole i inch in diameter, is therefore at least as well defined as that seen direct. In practice it would be better defined, as the direct image is far from perfect. If the image on the screen be regarded from a distance /, it will appear of its natural angular magnitude.
الصفحة 233 - If, however, this were not the case, we are so perfectly ignorant of the mode of action of the elements of the luminiferous ether on each other, that it would seem a safer method to take some general physical principle as the basis of our reasoning, rather than assume certain modes of action...
الصفحة 151 - Seen from a distance less than / it will appear magnified. Inasmuch as the arrangement affords a view of the sun with full definition and with an increased apparent magnitude, the name of a telescope can hardly be denied to it. "As the minimum focal length increases with the square of the aperture, a quite impracticable distance would be required to rival the resolving-power of a modern telescope. Even for an aperture of four inches /i would be five miles.
الصفحة 336 - No theory of evolution can be formed to account for the similarity of molecules, for evolution necessarily implies continuous change, and the molecule is incapable of growth or decay, of generation or destruction. None of the processes...
الصفحة v - who believe in the possibility of a mechanical conception of the universe, and are not willing to abandon the methods which from the time of Galileo and Newton have uniformly and exclusively led to success, must look with the gravest concern on a growing school of scientific thought which rests content with equations correctly representing numerical relationships between different phenomena, even though no precise meaning can be attached to the symbols used.
الصفحة 82 - ... nearly equal angles from the apertures at all distances, and wider also in the same proportion as the apertures are closer to each other. The middle ... is always light, and the bright stripes on each side are at such distances, that the light coming to them from one of the apertures must have passed through a longer space than that which comes from the other by an interval which is equal to the breadth of one, two, three or more of the supposed undulations...
الصفحة 82 - In order that the effects of two portions of light may be thus combined, it is necessary that they be derived from the same origin, and that they arrive at the same point by different paths, in directions not much deviating from each other.
الصفحة 233 - Light those formulas which represent the motions of a system of molecules acting on each other by mutually attractive and repulsive forces ; supposing always that in the mutual action of any two particles, the particles may be regarded as points animated by forces directed along the right line which joins- them. This last supposition, if applied to those compound particles, at least, which are separable by mechanical division, seems rather restrictive ; as many phenomena, those of crystallization...
الصفحة 233 - of the advantages of this method, of great importance, is that we are " necessarily led by the mere process of the calculation, and with little care "on our part, to all the equations and conditions which are requisite and "sufficient for the complete solution of any problem to which it may be "applied.
الصفحة vi - The study of physics must be based on a knowledge of mechanics, and the problem of light will only be solved when we have discovered the mechanical properties of the ether.

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