The Handbook of Electronics Formulas, Symbols and Defini­ tions has been compiled for engineers, technicians, armed forces personnel, commercial operators, students, hobbyists, and all others who have some knowledge of electronic terms, symbols, and theory. The author's intention has been to provide: A small, light reference book that may be easily carried in an attache case or kept in a desk drawer for easy access. A source for the majority of all electronic formulas, sym­ bols, and definitions needed or desired for today's passive and active analog circuit technology. A format in which a desired formula may be located almost instantly without the use of an index, in the desired trans­ position, and in sufficiently parenthesized linear form for direct use with any scientific calculator. Sufficient information, alternate methods, approximations, schematic diagrams, and/or footnotes in such a manner so that technicians and hobbyists may understand and use the majority of the formulas, and that is acceptable and equally useful to engineers and others very knowledgeable in the field. iii ACKNOWLEDGMENTS Much of the material is this Handbook is based upon a small loose-leaf notebook containing formulas and other reference material compiled over many years. With the passage of time, the sources of this material have become unknown. It is impos­ sible therefore to list and give the proper credit.

This volume contains the proceedings of a two-week NATO A.S.I. on Integrated Optics: Physics and Applications, held from August 17 to August 30, 1981 in Erice, Italy. This is the 8th annual Course of the "International School of Quantum Electronics" presented under the auspices of the "E. Majorana" Centre for Scientific Culture. The subject was chosen in order to satisfy the demand for a course on integrated optics which is relevant to the expanding use of fiber optics for communication and signal processing. Integrated Optics, encompassing all of the optical waveguide circuits which are the optical analog of integrated circuits, is finding its way into a variety of applications involving communi­ cations, high speed signal-processing, and sensors of many kinds. However, because the technology is still changing very rapidly, the development of these exciting applications relies heavily upon the physics of the integrated optical circuits themselves and the pro­ cessing techniques used to fabricate them. This NATO A.S.I. provided not only a thorough tutorial treatment of the field, but also through panel discussions and additional lectures treated topics at the forefront of present work. Therefore the character of the Course was a blend of current research and tutorial reviews. "The Physics and Applications of Integrated Optics" could hardly be a more appropriate title to be chosen for this volume. Many of the worlds' acknowledged leaders in the field have been brought together to review and speculate on the accomplishments of integrated optics.

This volume contains the lectures and seminars presented at the NATO Advanced Study Institute on "Physics of New Laser Sources", the twelfth course of the Europhysics School of Quantum Electronics, held under the supervision of the Quantum Electronics Division of the European Physical Society. The Institute was held at Centro "I Cappuccini" San Miniato, Tuscany, July 11-21, 1984. The Europhysics School of Quantum Electronics was started in 1970 with the aim of providing instruction for young researchers and advanced students already engaged in the area of quantum electronics or for those wishing to switch into this area after working previously in other areas. From the outset, the School has been under the direction of Prof. F. T. Arecchi, then at the University of Pavia, now at the University of Florence, and Dr. D. Roess of Heraeus, Hanau. In 1981, Prof. H. Walther, University of Munich and Max-Planck Institut fur Quantenoptik joined as co-director. Each year the Directors choose a subj~ct of particular interest, alternating fundamental topics with technological ones, and ask colleagues specifically competent in the chosen areas to take the scientific responsibility for that course.

The techniques used for the extraction of information from received or ob­ served signals are applicable in many diverse areas such as radar, sonar, communications, geophysics, remote sensing, acoustics, meteorology, med­ ical imaging systems, and electronics warfare. The received signal is usually disturbed by thermal, electrical, atmospheric, channel, or intentional inter­ ferences. The received signal cannot be predicted deterministically, so that statistical methods are needed to describe the signal. In general, therefore, any received signal is analyzed as a random signal or process. The purpose of this book is to provide an elementary introduction to random signal analysis, estimation, filtering, and identification. The emphasis of the book is on the computational aspects as well as presentation of com­ mon analytical tools for systems involving random signals. The book covers random processes, stationary signals, spectral analysis, estimation, optimiz­ ation, detection, spectrum estimation, prediction, filtering, and identification. The book is addressed to practicing engineers and scientists. It can be used as a text for courses in the areas of random processes, estimation theory, and system identification by undergraduates and graduate students in engineer­ ing and science with some background in probability and linear algebra. Part of the book has been used by the author while teaching at State University of New York at Buffalo and California State University at Long Beach. Some of the algorithms presented in this book have been successfully applied to industrial projects.

Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe­ maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further­ more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre­ tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.

This book is devoted primarily to the various kinds of resonant nonlinear in­ teractions of light with two-level (or, in many cases, multilevel) systems. The interactions can involve one-photon as well as multiphoton processes in which some combinations of frequencies of participating photons are close to tran­ sitions of atoms or molecules (e.g., we consider stimulated Raman scattering (SRS) as a resonant interaction). This approach involves a broad spectrum of problems. Discussion of some of the basic phenomena as well as the pertinent theory could be found, for instance, in such well-known books as the ones due to N. Bloembergen; S.A. Akhmanov and R.V. Khokhlov; L. Allen and J.H. Eberly, and to V.M. Fain and Ya.1. Khanin. The book "Quantum Electronics" by A. Yariv could serve as an introductory guide to the subject. Thus, some of the basic material in the present book will already be well known to the reader who is an expert in the field. There are, for instance, general density matrix equations; two-level model and basic effects associated with this model, such as saturation of one-photon absorption and Raby oscillations; some basic multiphoton processes such as two-photon absorption, SRS, etc.

How do we recognize that the number . 93371663 . . . is actually 2 IoglQ(e + 7r)/2 ? Gauss observed that the number 1. 85407467 . . . is (essentially) a rational value of an elliptic integral-an observation that was critical in the development of nineteenth century analysis. How do we decide that such a number is actually a special value of a familiar function without the tools Gauss had at his disposal, which were, presumably, phenomenal insight and a prodigious memory?

This report was prepared by Hughes Aircraft Company, Culver City, California under Contract Number F33615-70-C-1348. The work was administered under the direc­ tion of the Air Force Materials Laboratory, Air Force Systems Command, Wright­ Patterson Air Force Base, Ohio, with Mr. B. Emrich, Project Engineer. The Electronic Properties Information Center (EPIC) is a designated Information Analysis Center of the Department of Defense authorized to provide information to the entire DOD community. The purpose of the Center is to provide a highly competent source of information and data on the electronic, optical and magnetic properties of materials of value to the Department of Defense. Its major function is to evaluate, compile and publish the experimental data from the world's unclassified literature concerned with the properties of materials. All materials relevant to the field of electronics are within the scope of EPIC: insulators, semiconductors, metals, super­ conductors, ferrites, ferroelectric, ferromagnetics, electroluminescents, thermionic emitters and optical materials. The Center's scope includes information on over 100 basic properties of materials; information generally regarded as being in the area of devices and/or circuitry is excluded.

The current rapid development of cathode electronics has led fanned by their widespread use as cathode materials. A whole new section on the thermionic properties of aluminides has to extensive investigations of the emission properties of chemical el­ ements and their compounds. This expansion of research is aimed at been introduced. The list of pertinent literature has been aug­ the continual refinement of data already available and the steady widen­ mented by new contributions published in the years 1963-1965, ing of the circle of materials under investigation. These events have as well as some earlier publications that had escaped notice in the necessitated a whole series of additions and changes in this handbook, Russian edition. even though the original Russian edition was published only in 1964. It is the author's hope that the handbook will prove of great val­ Every effort has been made to include all available information ue to American readers interested in the emission properties of the on each element or compound. Particular attention has been given to elements and compounds, and that it will contribute to the further bringing the sections on borides and carbides of the transition and rare development of research in this promising and most timely field of metals up to date, since interest in these compounds has recently been electronics.

This volume constitutes the written proceedings of the Third International Conference on Materials SCience, held under the sponsorship of the Accademia Nazionale dei Lincei as the XIII summer course of the G. Donegani Foundation at Tremezzo, Italy, on September 4-15, 1972. The course of lectures was designed for scientists and engineers "d th a ,wrking knowledge of electronic materials, who sought to extend their knowledge of the newest developments in the field. The rapid pace of research and exploratory development in electronic materials has led to a preSSing need for continuing awareness and assessment of new electronic materials, as well as renewal of information in the more traditional areas. Three classes of electronic materials were selected for the course. Semiconductors provide the foundation for solid state electronics and semiconductor devices represent the most sophisti­ cated and advanced application of materials science and engineering known to modern technology. Yet, the march of progress in semi­ conductors continues ,unabated - new semiconductor materials are in the research stage, new process technology is being developed, and new devices are being conceived. The second class of materials dealt with in the course, magnetic alloys and insulators, also has a firm application base; for example, computer performance is often measured in terms of the size of the magnetic memory. The tailoring of materials to provide particular combinations of desired magnetic properties is an integral part of the development of the electronics, just as in the case of semiconductors.

The continuous and ever expanding development of high-temperature tech­ nology involves the use of high -temperature refractory materials and one of the most important classes of these is the oxides, i.e., compounds of elements with oxygen. Oxides are the oldest refractory compounds known in technology and this is connected with their high chemical stability and abundance in nature. In addition to the use of oxides as raw materials for metallurgical processes, the refractoriness, chemical stability, and magnetic and other technically important properties of oxides have been put to use since antiquity. At the present time the importance of oxides as bases of many materials for new technology is substantial and is growing rapidly with the development of processes for the direct conversion of various forms of energy into electrical energy, the development of nuclear technOlogy, electronics, semiconductor and dielectric technOlogy, and cosmic technology, where the refractoriness and chemical stability of oxides are used in combination with their specific physical properties. Oxides are the foundation of the so-called oxygen -containing or oxygen refractory materials, which are fundamental to high-temperature tech­ nology. Oxides are no less important as the bases of practically all structural ma­ terials and rocks. A number of oxides are involved in biological processes.

This book constitutes an introduction to the theory of binary switch­ ing networks (binary logic circuits) such as are encountered in industrial automatic systems, in communications networks and, more particularly, in digital computers. These logic circuits, with or without memory, (sequential circuits, combinational circuits) play an increasing part in many sectors of in­ dustry. They are, naturally, to be found in digital computers where, by means of an assembly (often complex) of elerpentary circuits, the func­ tions of computation and decision which are basic to the treatment of information, are performed. In their turn these computers form the heart of an increasing number of digital systems to which they are coupled by interface units which, themselves, fulfil complex functions of information processing. Thus the digital techniques penetrate ever more deeply into industrial and scientific activities in the form of systems with varying degrees of specialization, from the wired-in device with fixed structure to those systems centered on a general-purpose programmable com­ puter. In addition, the present possibility of mass producing microminiaturi­ sed logic circuits (integrated circuits, etc. ) gives a foretaste of the intro­ duction of these techniques into the more familiar aspects of everyday life. The present work is devoted to an exposition of the algebraic techni­ ques nesessary for the study and synthesis of such logic networks. No previous knowledge of this field of activity is necessary: any technician or engineer possessing an elementary knowledge of mathematics and electronics can undertake its reading.

Great progress has been made in the field of ordinary semiconductor physics and associated technologies. For the time being, if we could use new materials such as organic semiconductors progress in electronics could be accelerated. Characteristics of organic semiconductors that are superior to others are: i) high photo-conductivity under irradiation along with low leakage current in the dark, ii) high sensitivity of the conductivity to various gases and to pressure. iii) possibility of using them in the amorphous state, iv) possibility of making devices of extremely small size, v) large variety of the materials, which makes suitable choice of material component easy. A possible future development is a highly conductive material which could be used for electric power transmission - and which might help solve some of the problems posed by transmission losses. The U.S.-Japan Seminar on Energy and Charge Transfer in Organic Semiconductors was held in Osaka Japan, 6-9 August, 1973. Completed results were summarized and the direction for the future was discussed. Information was exchanged quite freely and actively in a pleasant atmosphere. Many of the papers presented at the seminar are published here but unfortunately a few could not be included. It would give us great pleasure if this seminar could be one step in the further development of the research in this field.