LASEII PLASMAS AND NllCLEAII ENEIIGY LASEB PLASMAS AND NIlCLEAB ENEBGY Professor of Physics University of New South Wales Kensington-Sidney, Australia and Rensselaer Polytechnic Institute Hartford, Connecticut Edited by Y uri Ksander Senior Staff Member The Rand Corporation Washington, D.C. PLENUM PRESS • NEW YORK AND LONDON Library of Congress Cataloging in Publication Data Hora, Heinrich. Laser plasmas and nuclear energy. Includes bibliographical references and index. 1. Plasma (Ionized gases) 2. Laser radiation. 3. Nuclear fusion. 4. Atomic energy. I. Title. QC718.H67 530.4'4 74-32287 ISBN-13: 978-1-4684-2087-6 e-ISBN-13: 978-1-4684-2085-2 DOl: 10.1007/978-1-4684-2085-2 The author and publisher gratefully acknowledge permission to reprint material in the Appendix, granted by the following: American Institute of Aeronautics and Astronautics, for pp. 369-375 (from AIAA lournal, 11, 1347-1349, 1973). The American Institute of Physics, for pp. 123-124 (from Applied Physics Letters, 3, 210--211, 1963); pp. 199-206, 273-282, 283-289 (from The Physics of Fluids, 7, 981-987, 1964; 12, 182-191,1969; 14, 371-377,1971). The American Physical Society, for pp. 383-385,409-416,425-431 (from Physical Review, AI, 821--824, 1970; A6, 2335-2342, 1972; AB, 1582-1588, 1973); pp. 377-381, 417-419, 421-423 (from Physical Review Letters, 30, 89-92, 1973; 30, 1116--1.118, 1973; 31, 1184-1187, 1973). Chapman and Hall Ltd., for pp. 433-443 (from Opto.Electronics, 5, 491-501, 1973). Editions Bordas, Dunod, Gauthier.Villars, for pp. 113-117 (from 3rd Interna· tional Conference on Quantum Electronics, Paris, 1963, Vol. 2, P. Grevet and N. Bloembergen (eds.), Dunod, Paris, 1964, pp. 1373-1377). Institute of Electrical and Elecftonic Engineers, Inc., for pp. 119-122 (from IEEE Journal of Quantum Electronics, QE-4, 864--867, 1968). International Atomic Energy Agency, for pp. 239-247 (from Nuclear Fusion, 10, 111-116, 1970). Verlag der Zeitschrift fUr Naturforschung, for pp. 225-238 (from Zeitschrift fUr Naturforschun8, 25A, 282-295, 1970). © 1975 Plenum Press, New Y~fk Softcover reprint of the hardcover 1st edition 1975 A Division of Plenum Publishing Corporation 227 West 17th Street, New York, N.Y. 10011 United Kingdom edition published by Plenum Press, London A Division of Plenum Publishing Company, Ltd. 4a Lower lohn Street, London WIR 3PD, England All rights reserved Nt) part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publishcr TO MY WIFE ROSE, nee WEILER PREFACE Most of this book was written before October 1973. Thus the statements concerning the energy crisis are now dated, but remain valid nevertheless. However, the term "energy crisis" is no longer the unusual new concept it was when the material was written; it is, rather, a commonplace expression for a condition with which we are all only too familiar. The purpose of this book is to point out that the science and technology of laser-induced nuclear fusion are an extraordinary subject, which in some way not yet completely clear can solve the problem of gaining a pollution-free and really inexhaustible supply of inexpensive energy from the heavy hydrogen (deuterium) atoms found in all terrestrial waters. The concept is very obvious and very simple: To heat solid deuterium or mixtures of deuterium and tritium (superheavy hydrogen) by laser pulses so rapidly that despite the resulting expansion and cooling there still take place so many nuclear fusion reactions tnat the energy produced is greater than the laser energy that had to be applied. Compression of the plasma by the laser radiation itself is a more sophisticated refinement of the process, but one which at the present stage of laser cechnology is needed for the rapid realization of a laser-fusion reactor for power generation. This concept of compression can also be applied to the development of completely safe reactors with controlled microexplosions of laser-compressed fissionable materials such as uranium and even boron, which fission completely safely into nonradioactive helium atoms. The papers that have been published on this subject are widely scattered and quite different in content, occasionally providing contradictory and therefore rather confusing results. To undertake vii viii PREFACE the preparation of an exhaustive monograph would therefore be akin to the labors of Sisyphus: when finished it would be obsolete. Many international conferences have been held which are turbulent mixtures of new and unexpected results with an accumulation of earlier unexplained results. With an eye to the necessity of re solving the energy crisis, some attempts have been made to provide introductory material to this subject. The biannual International Workshop Conferences on "Laser Interactions and Related Plasma Phenomena" organized by Helmut J. Schwarz and the author are held for this purpose. Both reviews and new results are presented and then -- to the extent that the material is suitable -- published in proceedings volumes of a fairly representative character. However, the level is necessarily advanced; and, therefore, both students and beginners have need of a quick survey and an introduction to plasma physics of such a nature as to enable them to follow the papers of these proceedings as well as the current literature. With this need in mind, this introductory volume was written to provide in combination with the appended collection of important papers something akin to a seminar in printed form, to be studied alone or to be used in conjunction with lectures and discussions. The author has not been neutral in writing this introduction, but he has tried to avoid the shortcomings of many so-called "review articles." Such reviews often tend to be either muddled and undi gested collections of key words and formulas from a large number of papers or extended discussions of very specific work by the re viewer himself to which he has adcied only results by others which are relevant to his own. However, the author is not free of human motivation -- otherwise he would not have been able to present the subject with the enthusiasm and conviction of an active participant in an exciting field of research -- and, therefore, this work may also suffer to some extent from the above-mentioned defects. If that is so and some aspects are emphasized more than they might have been by another writer, the reader may compensate for it by studying further in the papers of other authors. Unavoidably, there is some mixing of highly elementary and in troductory descriptions of the physical properties of a plasma with unresolved problems and with some new results. The yet unsolved questions are especially pointed out, particularly when different sources lead to confusing and conflicting results. For example, measurements of the reflectivity of laser-produced plasmas differ by a factor of 100 or more. There seem to be unexplained characteris tic phenomena at moderate laser intensities in ruby and neodymium glass laser pulses around 109 W/cm2, such as the Linlor effect; and there are discrepancies between the models of homogeneous heating and of generation of compression waves at 1010 to 1013 W/cm2• At higher intensities the scattering results are equally complicated. The inclusion of new results could not be avoided in view of the presentation of a new method of compression of laser-produced plasma PREFACE ix which is much more efficient than the previous approach of gas dynamic ablation. This method provides a new approach to the entire field, and the whole discussion is influenced by this new point of view. It is a pleasure for the author to thank colleagues and friends for direct and indirect help in finishing this work, especially Vice-President Warren C. Stoker and Prof. Helmut Schwarz of Rens selaer Polytechnic Institute; Dr. Marcel Salvat, Director of Euratom at IPP Garching, for constant and fruitful cooperation over many years; and Prof. Moshe J. Lubin of the University of Rochester for helpful arrangements during the author's term at his laboratory while on leave from the Max Planck Institut fUr Plasmaphysik (Association Euratom) in Garching, Germany. Ottobrunn (Germany) Heinrich Hora Rotdornweg 4 CONTENTS 1. Introduction 1 1.1 Nuclear Fusion 2 1.2 Laser-Produced Nuclear Fusion 3 2. Lasers 6 2.1 Laser Condition 6 2.2 Operation of Lasers 9 2.3 Available Lasers 12 3. Early Measurements and Gas Breakdown 15 3.1 Gas Breakdown 15 3.2 Plasmas Produced from Solids in Vacuum 18 (Linlor Effect) 4. Microscopic Properties of Plasma 22 4.1 Debye Length 23 4.2 Plasma Frequency 24 4.3 Collisions 26 5. Macroscopic Plasma Physics 29 5.1 Ohm's Law and Electromagnetic Waves 29 5.2 Equation of Motion and Equations of Conservation 31 5.3 Homogeneous Heating 36 6. Refractive Index and Absorption 39 6.1 Linear Properties 40 6.2 Nonlinear Absorption 45 6.3 Relativistic Absorption 47 6.4 Anomalous Absorption and Instabilities 50 7. Dielectric Nonlinear Forces and Dynamic Absorption 52 7.1 Basic Properties of the Dielectric Nonlinear Force 52 7.2 Transferred Momentum and Ion Energies 55 7.3 Predominance of the Nonlinear Force 58 7.4 Self-Focusing of Laser Beams in Plasma 61 xi xii CONTENTS 7.5 Numerical Examples of Nonlinear Acceleration 64 8. Theory of Laser-Induced Nuclear Fusion 73 8.1 Inertial Confinement 73 8.2 Gas-Dynamic Compression 77 8.3 Direct and More Efficient Transfer of Laser Energy 81 into Mechanical Compression 8.4 New Concepts and Nuclear Fission 84 9. Experiments for Laser-Induced Nuclear Fusion 87 9.1 Irradiation of Spherical Targets 87 9.2 Neutron Generation 88 9.3 Anomalous Experimental Results 90 10. Conclusions 96 11. References 99 12. Appendix. List of Reprinted Papers 110 N. G. Basov and O. N. Krokhin, "The Conditions of Plasma Heating by the Optical Quantum Generator." 113 N. G. Basov, P. G. Kryukov, S. D. Zakharov, Yu. V. Senatskiy, and S. V. Chekalin, "Experiments on the Observation of Neutron Emission at the Focus of High- power Laser Radiation on a Lithium Deuteride Surface." 119 W. 1. Linlor, "Ion Energies Produced by Laser Giant Pulse." 123 R. Papoular, "The Initial Stage of the Laser-induced Gas Breakdown." 125 A. J. Alcock, "Experiments on Self-focusing in Laser- produced Plasmas." 143 G. Siller, K. BUehl, and H. Hora, "Intense Electron Emission from Laser-produced Plasmas." 165 H. Hora, "Experimenta 1 Result of Free Ta rgets • " 183 J. M. Dawson, "On the Production of a Plasma by Giant Laser Pulses." 199 H. Hora, "Some Results of the Self-similarity Model." 207 P. Mulser, "Hydrogen Plasma Production by Giant Pulse Lasers." 225 H. Hora and H. Wilhelm, "Optical Constants of Fully- ionized Hydrogen Plasma for Laser Radiation." 239 D. F. DuBois, "Laser-Induced Instabilities and Anoma- lous Absorption in Dense Plasmas." 249 'H. Hora, "Nonlinear Confining and Deconfining Forces Associated with the Interaction of Laser Radiation with a Plasma." 273 J. D. Lindl and P. Kaw, "Ponderomotive Forces on Laser-produced Plasmas." 283 H. Hora, "Nonlinear Forces in Laser-produced Plasmas." 291 F. F. Chen, "Physical Mechanisms for Laser-Plasma Para- metric Instabilities." 317 J. H. Nuckolls, "Laser-Induced Implosion and thermo- nuclear Burn." 341 CONTENTS xiii L. L. Lengyel, "Exact Steady-state Analogy of Transient Gas Compression by Coalescing Waves." 369 J. S. Clarke, H. N. Fisher, and R. J. Mason, "Laser- driven Implosion of Spherical DT Targets to Thermo- nuclear Burn Conditions." 377 F. F1oux, D. Cognard, L. G. Denoed, G. Piar, D. Parisot, J. L. Bobin, F. De1obeau, and C. Fauquignon, "Nuclear Fusion Reactions in Laser-produced Solid Deuterium Plasmas." 383 N. G. Basov, O. N. Krokhin, and G. V. Sk1izkov, "Heating of Laser Plasmas for Thermonuclear Fusion." 387 N. G. Basov, Yu. S. Ivanov, O. N. Krokhin, Yu. A. Mikhay1ov, G. V. Sk1izkov, and S. I. Feodotov, "Neutron Generation in Spherical Irradiation of a Target by High-power Laser Radiation." 407 C. Yamanaka, T. Yamanaka, T. Sasaki, K. Yoshida, M. Waki, and H. B. Kang, "Anomalous Heating of a Plasma by Lasers." 409 G. F. McCall, F. Young, A. W. Ehler, J. F. Kephardt, and R. P. Godwin, "Neutron Emission from Laser- produced Plasmas." 417 M. Goldman, J. Soures, and M. J. Lubin, "Saturation of Stimulated Back-scattered Radiation in Laser Plasmas." 421 J. W. Shearer, J. Garrison, J. Wong, and J. E. Swain, "Pair Production by Relativistic Electrons from an Intense Laser Focus." 425 13. Subject Index 445