Light Revolutions
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About this ebook
Geoffrey Ernest Stedman
Born in Christchurch, after a first degree there. I obtained a PhD from London University, (Queen Mary College, 1968) I then became lecturer in Physics back at the University of Canterbury, I am now retired as Emeritus Professor of Physics. My career included visits to Australian, UK European and U.S.A. institutions. I have had 17 PhD students and have published 186 scientific papers on a broad spectrum of interests in theoretical physics with special emphasis on quantum theory, relativity and optics. I published one technical book “Diagram techniques in group theory” (2009), my reconciliation of Christianity and Physical science (2012). Honours include the Fellowship (1989) of the Royal Society of New Zealand, it’s Hector Medal (1994) and the Research medal of the University of Canterbury (2002).
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Book preview
Light Revolutions - Geoffrey Ernest Stedman
Copyright © 2015 by Geoffrey Ernest Stedman. 511725
Library of Congress Control Number: 2014904889
ISBN: Softcover 978-1-4931-3776-3
Hardcover 978-1-4931-3775-6
EBook 978-1-4931-3777-0
All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner.
Caption to cover picture Cover Picture the UG2 ring laser at Cashmere New Zealand with Professor Ulli Schreiber, copyright to the Christchurch Press, Fairfax NZ.
Caption to frontispiece picture p 1. Lyttelton harbor is visible as a coastal indentation to an old volcanic crater the lava flows on the north (upward) flank separate the harbor from the city and the Cashmere Cavern is on this north flank of these lava flows. Acknowledgements to NASA.
Rev. date: 03/14/2017
Xlibris
1-800-455-039
www.xlibris.com.au
Contents
1 Preface
2 THE SAGNAC EFFECT and its detracters
3 The cashmere cavern
4 THE CANTERBURY RING LASER –ITS ORIGINS
5 Relativity
6 Quantum Mechanics
7 The Farm of ring lasers
8 Personalities
9 Solid state gyros
10 Hidden Momentum
11 General References
1 Preface
Small ring laser gyroscopes were developed in the decades surrounding the 1970’s for avionics the principal advance being through advances in mirror quality. Photos of avionic gyros are not readily available since the technology involved is highly sensitive commercial information. One system is illustrated in¹
45713.png² Such devices are the basis of avionic navigation systems and have areas of (dm)2 i.e. ~60cmx 60cm as befits airline gyros. as opposed to the areas of up to over 300 m² of the devices discussed here see chapter 7.
We describe in this book not only some amazing properties of light but a particular program of laser gyroscope development, which is aimed to measure local variations in Earth rotation, this has expanding rapidly several major members of a ‘family’ or ‘farm’ of earth rotation devices of Figure 3, were built initially at cashmere New Zealand, all of which were much larger than the avionic devices of figure 3. It is the stuff of science that our dreams can be inadequate, certainly mine were. The story I shall tell was completely unexpected and unplanned in my scientific career. I remember as a postgraduate student in the 1960’s hearing lasers were described at scientific conferences as a solution in search of a problem.
Today laser’s are a multi-billion dollar business. Every supermarket checkout, every CD player and builders’ toolkits hold one.
My aim is to work though some concepts to do with the origins of a major experimental project till 2001 and to give an overview of its history from1970 to the present. The Canterbury ring laser project had the ambition of gaining new results on earth rotation by optical means. Its origins are explained as a case study of several of the issues outlined above. For example It depends on the Sagnac effect (chapter 2) to measure the rate of rotation. This has sparked un-necessary misguided debates over light travel partly because of the tendency for confusion and inconsistent notions of simultaneity in relativity this topic is explored in Chapter 4. (It is important that the reader gains some general appreciation of relativity and quantum mechanics two 19th Century revolutions in physics) brief introductions are included here Chapters 5 6.
This book was originally conceived on the basis of an adult education course I gave at the University of Canterbury in 2000. The course discussed theories of light down the centuries and a full description on the ring laser project, what follows is a compressed account the but also other topics related to light and electromagnetism, one of these is the topic of Chapter 10 namely a discussion of hidden momentum, another briefly mentioned in chapter 6 is a lecture demonstration of a physics experiment proving that we cannot know as much as we would like to about the natural world, a full description is in ³.
This illustrates one of the odd-ball topics I touched on during this course. In particular this requires a discussion of topics like the vector potential of electromagnetic induction and momentum conservation in it. These also are off shoots of the theory of light and some aspects of this are poorly understood even by professional physicists and I think they deserve an airing. Even in a book mainly devoted mainly to our experimental project on ring lasers as rotation sensors. These are based on two counter-revolving beams of laser light. an understanding of the operation of an optical gyroscope (is given in Chapter 2 on the Sagnac effect).
Light revolutions
In Grecian days it was imagined that light was composed of particles that were each copies of the object being looked at.
The pioneering work of Isaac Newton was also based on the concept that light was a beam of particles which obeyed his laws of mechanics, this model had some successes which in retrospect were very surprising (however Newton’s approach also had some major problems (e.g. such interference effects known as Newton’s Rings seen when a convex glass is rested on a flat glass plate, to accommodate which Newton devised some extensions to his picture of light inventing the idea of fits of reflection one which is today unnecessary.)
But in the 1800’s conclusive evidence was found that light must also be recognized as a wave, as sound had been. This in turn raised fundamental questions. It was known that sound needed a medium like air to travel in, what was the equivalent for light. A medium dubbed the ‘ether’ was postulated to carry the wave motion of light. Efforts to detect this medium were not successful and eventually the concept of the ether was abandoned in science.
In the 20th century big advances in Physics were made in relativity and the quantum theories both of which have now received overwhelming experimental confirmation. The particle idea (though not the Greek’s idea of copies) was found to have much truth and particles of light are called photons. This had been vindicated by the huge advances in electromagnetism and optical studies in the 19th Century by Maxwell who following the astonishing experimental insight of Faraday showed that one can understand the properties of light particularly the wave properties in terms of oscillations in electromagnetic fields, the electric and magnetic fields in space. Although this fact is well known and is described in detail in many books there are some aspects of electromagnetism and optics which are very poorly known even today so I will detour into a popular if incomplete account of some of these at various stages. The conflict between models raised many major puzzles in Physics whose full understanding has taken the 20th Century advances to elucidate.
Enormous effort was spent by many scientists on trying to resolve the apparent conflict between Wave and Particle models of light but the outcome was that both proved essential. That the character of light was finally understood to be neither wave nor particle on its own but more profound than both. The full understanding of this required grappling with a number of major mysteries whose full solution has required well over a century of dedicated effort by scientists. I cannot review all of this here but outline some relevant considerations as far as is possible, in a work of this size. Nothing rivals a full physics text book account and I do not offer that. I aim to illustrate though aspects of the physical problems relevant to our main application the ring laser project so that a general reader may understand something of the background reasons for undertaking this scientific project.
It was one of the great ironies of scientific history that the very experiments devised to confirm Maxwell’s wave theory of light and the generation of radio waves were later recognized as providing clear evidence of the particle nature of light. This was because when light from an electric spark employed by Hertz was allowed to fall on the receiver electrodes, the sparks demonstrating the reception of radio waves came more copiously, because. The ultraviolet rays in the transmitter sparks eject of electrons from the receiver electrodes by the photoelectric effect a particularly quantum mechanical story I have no room to discuss here.
This may help an appreciation as to why all relevant matters one must have some basic understanding of quantum mechanics and relativity. A reader skeptical of science should understand that the basic ideas I outline here are now no longer speculative but fully confirmed by exhaustive experiments some of the early ones as regards ring lasers are briefly reviewed elsewhere ⁴. But the light revolutions that will take most of our attention here. Are not the revolutions in our understanding of light itself but the counter rotation of beams of laser light in optical gyroscopes which are now standard in applied science including avionics.
I review here a family of ring-laser devices in New Zealand and now other countries especially Germany which are using ring lasers to measure the effects of earth rotation fluctuations by interfering counter-rotating light beams.
This project has been a major research topic at my institution the Department of Physics University of Canterbury Christchurch New Zealand since 1998. It was a new development at the University of Canterbury conducted in association with scientific groups at State University of Oklahoma Stillwater USA’s and later with the TUM: Technical University of Munich, through their Fundamental Research Station Wetzell in the foothills of Bavaria Germany. This institution and our program was also supported by the BKG Bundesamt für Cartography and Geodäsie in Frankfurt also the Technical University of Munich TUM. As a result of this joint program it has proved possible to measure a number of geophysical effects in a novel way. The discovered novel effects outlined here include
• the local rotational effects of ocean and earth tides
• Earthquakes waves both local and remote which generate rotational motions.
• Also the effect of the Moon’s gravity on the polar axis of the Earth, The moon’s gravitational pull on the in-homogeneities in the Earth creates a diurnal wobble of the axis of rotation of the Earth whose magnitude is 60 cm at the earth’s pole,
• also the Chandler Wobble another of the earth natural motions.
• via their effect on the local rotation of the earth was measured by one of the ring lasers discussed here
This was made possible by building a family of ring lasers to measure earth rotation via the relative frequency of co- and counter-rotating laser’s beams. The New Zealand devices started of at 1 m square C-I but grew to UG2 the size of our cavern laboratory at Cashmere Christchurch. The German machine, G is about 4 m square. Similar projects have been developed at the small end of the scale in size but at Piñon Flats California for earth quake studies and Pisa Italy for related fundamental studies. The main purpose of this book is to explain the history of these projects at Canterbury and some of the background scientific thinking which stimulated them, the more technical details are generally omitted and no full attempt is made to explain any of these various effects in detail.
The story started for me with an appreciation of the subtleties of the definition of synchronization in relativity this became an interest for mine as a student. And then as a lecturer later with two of my students Ron Anderson and Kumar Vetheraniam (chapter 4). My background was that of a theoretical solid state physicist but not particularly either experimental or laser physics Chapter 4 may help to explain why someone like me should became engaged in managing a new experimental project requiring a new laboratory complex while maintaining research in theoretical physics.
So the bulk of this work is to do with ring lasers. However I include a summary of some of the more exotic concepts (chapter 10) that helped formed a backbone to that adult education course. My aim will be to give a plain mans account accessible to anyone with an interest in science and who has perhaps wondered what really has been going on at Cashmere. Chapter 3 outlines the Cashmere cavern laboratory and Chapter 7 the ‘farm’ of devices built there also some collaboration built devices.
Of course all scientific work is done within a historical framework. Larger laser gyroscopes go back to the earliest days of lasers. Macek and Davis historic experiment on a rotating 1-meter square Helium-Neon ring laser was in 1962. In the pre-laser era of 1870’s one of the closest analogy to today’s ring lasers is
Lodge’s whirling machine.
Image4876.tif(a), (b):
Image4884.tifFigures 4, (a),(b) ⁵ :Lodges whirling machine ⁶ which aimed to set the ether in motion, ether being the imaginary material which in the eyes of many British Physicists carried light waves. The continental physicist Henry Poincaire on the other hand wrote of the impotence of the ether and said that even if such experiments were 100 times more sensitive the results would still be negative. The ether slowly disappeared from science. The wooden case at the top contained an optical interferometer and some metal blades whirled at high speed 2800 rpm by the electric motor below so as to stir up the ether and distinguish the speeds of light in opposite directions. No such effect was not found. (‘Presumably it was counted advisable to keep ones head below the plane of the disks) to avoid them being sheared should the disks fracture.’ In another experiment the disks were replaced by an iron spheroid 3’ across ½’ thick weighing ½ ton. The ether was still un-obligingly obstinate in revealing itself. And when the machine bucked and smoked at 300 rpm. The scientists called it quits. The foundations of the device were secured to the Liverpool sandstone. Lodge anticipated the Sagnac effect (Chapter 2)which recently passed its 100th anniversary and hoped to detect the the rotation of the earth, in the lower photo Oliver Lodge is on the left watching his assistant Benjamin Davis adjust the machine, on the right is George Holt who paid for the apparatus. Although Larmour tweaked Lodge that he would have to stop the earth to check any effect. ⁷ In fact all he would need as explained mentioned in the chapter 7 was a good sound system to convert the interferometer fringes he saw to an audio signal. Sadly sound systems were unknown in those days.
General references are given and footnotes are at the end of each Chapter, some papers often referred to more widely are noted as GEN:A-I and are listed at the end of each chapter 11.
Acknowledgements Unaccredited photos are by mostly by University staff. It is impossible to give an adequate list of acknowledgements any fair list would be extraordinarily long, given the debt I owe to so many who have helped me in my scientific life. I would thank in particular my wife Rachel and brother David Stedman, Clive Rowe and Dr Bob Hurst for help in editing