In this book, Gilbert T Walker explores various problems related to the electromagnetic field, including the phenomenon of aberration in optics. He provides a detailed analysis of the mathematical equations that govern these problems, making it a valuable resource for students of physics and engineering. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute…mehr
In this book, Gilbert T Walker explores various problems related to the electromagnetic field, including the phenomenon of aberration in optics. He provides a detailed analysis of the mathematical equations that govern these problems, making it a valuable resource for students of physics and engineering. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Preface Table of vector notation and formulae Table of notation of physical quantities Part I: 1. Difference in conceptions of polarisation 2. Flux in continuous polarisation 3-4. Analysis of molecular polarisation 5. Density due to molecular polarisation 6. The existence of convection currents 7-9. Flux of molecular polarisation 10. Effect of motion on permeability 11-12. Equations of the field when the polarisation is continuous and motion takes place: the electric and magnetic forces at a moving point 13. The polarisation in a moving medium 14. Equations of the field when the ether is stationary and material media whose polarisations are molecular drift through it: the polarisation of the ether is assumed to be continuous 15. The same when the polarisation of the ether is molecular 16. Comparison of results 17-18. Boundary conditions Part II. 19. Extension of the transformation of Lorentz which gives a stationary distribution corresponding to one in which molecularly polarised media drift through stationary ether 20. Airy's 'water-telescope' experiment 21-24. Double refraction of light in a drifting medium 25. Experiments with rotating dielectric plates 26. Theory of Röntgen's experiment 27. Theory of Röntgen's experiment Part III: 28. Stress in the ether when the electric and magnetic polarisations are entirely continuous and the ether and matter have a common velocity 29. Resultant force per unit volume under the same conditions 30. Stress in the ether when the polarisations of the ether are continuous, those of the material media are molecular, and the ether has the same velocity as the matter 31. Preliminary considerations 32-33. Energy in the field in a special case, and an example of the need of modification 34. Stress in the ether when it is stationary and molecular polarisation drifts through it 35. The force per unit volume in this case 36. The couple per unit volume 37. The value of the force when the field is stationary and steady 38. The result of assuming (DE' + GH')/8¿ as the potential energy 39. An example of the effect of the motion of a surface upon the force in action upon it 40-41. Discussion of the case in which there is no drift 42. Relation between stress in the ether and stress in the material medium 43-44. Force at a surface of discontinuity 45. Distinctions between electric and magnetic polarisations 46. Interpretation of electric polarisation in terms of ions 47. Interpretation of magnetisation in terms of ions: the two hypotheses in relation to susceptibility 48. Equations of the field when the second hypothesis is made 49-51. Stress in the ether under the same conditions 52. Stress in the material medium in an electrostatic field 53. Stress in the material medium in a magnetostatic field 54. Comparison of theoretical stresses with the results of observation 55. Experimental investigation of stress in an electrostatic field Part IV: 56. Experimental investigation of stress in a magnetostatic field 57. Velocity of light when a continuously polarised medium drifts through stationary ether 58. Determination of the velocity with which the ether must be dragged by a continuously polarised medium, in order that Fresnel's coefficient may be obtained 59. The direction and velocity of ray-propagation under the above conditions 60. Reflection and refraction 61.Röntgen's experiment is inconsistent with the hypothesis of § 58.
Preface Table of vector notation and formulae Table of notation of physical quantities Part I: 1. Difference in conceptions of polarisation 2. Flux in continuous polarisation 3-4. Analysis of molecular polarisation 5. Density due to molecular polarisation 6. The existence of convection currents 7-9. Flux of molecular polarisation 10. Effect of motion on permeability 11-12. Equations of the field when the polarisation is continuous and motion takes place: the electric and magnetic forces at a moving point 13. The polarisation in a moving medium 14. Equations of the field when the ether is stationary and material media whose polarisations are molecular drift through it: the polarisation of the ether is assumed to be continuous 15. The same when the polarisation of the ether is molecular 16. Comparison of results 17-18. Boundary conditions Part II. 19. Extension of the transformation of Lorentz which gives a stationary distribution corresponding to one in which molecularly polarised media drift through stationary ether 20. Airy's 'water-telescope' experiment 21-24. Double refraction of light in a drifting medium 25. Experiments with rotating dielectric plates 26. Theory of Röntgen's experiment 27. Theory of Röntgen's experiment Part III: 28. Stress in the ether when the electric and magnetic polarisations are entirely continuous and the ether and matter have a common velocity 29. Resultant force per unit volume under the same conditions 30. Stress in the ether when the polarisations of the ether are continuous, those of the material media are molecular, and the ether has the same velocity as the matter 31. Preliminary considerations 32-33. Energy in the field in a special case, and an example of the need of modification 34. Stress in the ether when it is stationary and molecular polarisation drifts through it 35. The force per unit volume in this case 36. The couple per unit volume 37. The value of the force when the field is stationary and steady 38. The result of assuming (DE' + GH')/8¿ as the potential energy 39. An example of the effect of the motion of a surface upon the force in action upon it 40-41. Discussion of the case in which there is no drift 42. Relation between stress in the ether and stress in the material medium 43-44. Force at a surface of discontinuity 45. Distinctions between electric and magnetic polarisations 46. Interpretation of electric polarisation in terms of ions 47. Interpretation of magnetisation in terms of ions: the two hypotheses in relation to susceptibility 48. Equations of the field when the second hypothesis is made 49-51. Stress in the ether under the same conditions 52. Stress in the material medium in an electrostatic field 53. Stress in the material medium in a magnetostatic field 54. Comparison of theoretical stresses with the results of observation 55. Experimental investigation of stress in an electrostatic field Part IV: 56. Experimental investigation of stress in a magnetostatic field 57. Velocity of light when a continuously polarised medium drifts through stationary ether 58. Determination of the velocity with which the ether must be dragged by a continuously polarised medium, in order that Fresnel's coefficient may be obtained 59. The direction and velocity of ray-propagation under the above conditions 60. Reflection and refraction 61.Röntgen's experiment is inconsistent with the hypothesis of § 58.
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