EEE 498/598 Overview of Electrical Engineering Lecture 1: Introduction to Electrical Engineering 1 Lecture 1 Objectives To provide an overview of packaging. To review the electrical functions of a package. To understand the foundations of electrical engineering. To become aware of the topics that will be covered in this class. To define the coordinate systems that will be used in this class. 2 Lecture 1 Overview of Packaging ~ .040” ~ .012“ Silicon Die Package Motherboard Courtesy of Intel Corp. 3 Lecture 1 Overview of Packaging IHS FCBGA Interposer Caps Interposer LSC Pins Die C4 Balls Microvias Interposer FCBGA PTH Vias FCBGA BGA Balls Die Interposer Vias Interposer DSC Pins Courtesy of Intel Corp. 4 Lecture 1 Overview of Packaging “Packaging engineers today must solve complex, coupled problems that require fundamental understanding of electrical, thermal, mechanical, material science, and manufacturing principles.” Dr. Nasser Grayeli, Intel Corporation This course focuses on preparing students to understand the electrical principles. 5 Lecture 1 Electrical Functions of the Package Power Delivery Signal Input/Output Supply a clean power and reference voltage to active devices on the die. Transmit signals from the die to the motherboard faithfully and in minimum time. EMI/EMC Minimize radiation of electromagnetic energy into the environment, and the impact of ambient electromagnetic energy on circuit performance. 6 Lecture 1 Foundations of Electrical Engineering Electrophysics. 80 % of this course Information (Communications) Theory. Digital Logic. 20 % of this course Not covered in detail in this class 7 Lecture 1 Foundations of Electrical Engineering Electrophysics: Fundamental theories of physics and important special cases. Phenomenological/behavioral models for situations where the rigorous physical theories are too difficult to apply. 8 Lecture 1 Hypothesis, Model, and Theory A hypothesis is an idea or suggestion that has been put forward to explain a set of observations. It may be expressed in terms of a mathematical model. The model makes a number of predictions that can be tested in experiments. After many tests have been made, if the model can be refined to correctly describe the outcome of all experiments, it begins to have a greater status than a mere suggestion. A theory is a well-tested and well-established understanding of an underlying mechanism or process. The material in this slide has been adapted from material at http://www2.slac.stanford.edu/vvc/theory/modeltheory.html. 9 Lecture 1 Hypothesis, Model, and Theory Maxwell’s equations are ‘just a theory’ and yet my cell phone works! At one time, a theory would have been referred to as a ‘law’. Newton’s laws Boyle’s law But remember no theory is a complete description of all reality; all theories are incomplete. Electrical engineers make use of a number of theories – some of which are special cases of others. 10 Lecture 1 Four Fundamental Forces of Physics Gravitational Force Electromagnetic Force Associated particle is photon 1042 times stronger than gravity Force can be attractive or repulsive Varies inversely as the square of the distance Strong Interaction Associated particle is graviton (hypothesized) Always attractive Varies inversely as the square of the distance Associated particle is gluon About 100X stronger than electromagnetic force but only acts over distances the size of an atomic nucleus Responsible for holding the protons and neutrons together Weak Interaction Associated particles are the weak gauge bosons (Z and W particles) Acts only over distances the size of an atomic nucleus Responsible for certain types of radioactive decay 11 Lecture 1 The Standard Model Physicists call the theoretical framework that describes the interactions between elementary building blocks (quarks and leptons) and the force carriers (bosons) the Standard Model. Most of the standard model is a theory; some of it is still hypothesis. Physicists use the Standard Model to explain and calculate a vast variety of particle interactions and quantum phenomena. High-precision experiments have repeatedly verified subtle effects predicted by the Standard Model. The material in this slide and in the following two slides has been adapted from material from www.fnal.gov (Fermilab). Lecture 1 12 The Standard Model The biggest success of the Standard Model is the unification of the electromagnetic and the weak forces into the so-called electroweak force. Many physicists think it is possible to eventually describe all forces with a Grand Unified Theory or a so-called Theory of Everything (ToE). M-theory (a generalization of superstring theory) is the current embodiment of the ToE. 13 Lecture 1 Philosophical Implications of a ToE Reductionist point-of-view: everything from the big bang to human emotions can be obtained from the ToE given enough computational power. Another point of view: new types of fundamental laws arise in complex systems that cannot be derived from the ToE. Practical point of view: any ToE could never be successfully applied to complex systems, and so it is irrelevant whether or not the laws of complex systems can be derived from the ToE. 14 Lecture 1 Religion/Faith/Metaphysics v. Science Science attempts to explain the processes by which the universe functions (i.e. the “how”). Religion attempts to explain why the universe exists and to impart meaning to its existence (i.e., the “why”). 15 Lecture 1 Religion/Faith/Metaphysics v. Science Science is absolutely neutral on the issue of whether “God” exists or not. Consider the following: people of many different faiths or no faith at all can work together to design complex systems such as a packaged integrated circuit. Millions of devoutly religious people accept scientific theories as valid explanations for natural processes. Those who do not should imagine what life was like for the average human before modern scientific advances in medicine, engineering, etc. 16 Lecture 1 Engineering With the exception of nuclear engineering, the engineering disciplines (e.g., mechanical, aerospace, civil, etc.) deal with phenomena that involve the forces of gravity and electromagnetism. Much of electrical engineering involves understanding phenomena that result from the force of electromagnetism. 17 Lecture 1 Hierarchy of Physics Theories Involved in the Study of Electrical Engineering Quantum electrodynamics Quantum mechanics Schrödinger Classical equation electromagnetics Electrostatics Magnetostatics Circuit theory Geometric optics 18 Lecture 1 Information Theory Originally developed by Claude Shannon of Bell Labs in the 1940s. Information is defined as a symbol that is uncertain at the receiver. The fundamental quantity in information theory is channel capacity – the maximum rate that information can be exchanged between a transmitter and a receiver. The material in this slide and the next has been adapted from material from www.lucent.com/minds/infotheory. Lecture 1 19 Information Theory Defines relationships between elements of a communications system. For example, Power at the signal source Bandwidth of the system Noise Interference Mathematically describes the principals of data compression. 20 Lecture 1 Exercise: What is Information? Message with redunancy: “Many students are likely to fail that exam.” Message coded with less redundancy: “Mny stdnts are lkly to fail tht exm.” 21 Lecture 1 Digital Logic Digital logic signals are really analog signals, and digital circuits are ultimately designed using circuit theory. However, in many situations the function of a digital circuit is more easily synthesized using the principles of digital logic. 22 Lecture 1 Digital Logic Based on logic gates, truth tables, and combinational and sequential logic circuit design Uses Boolean algebra and Karnaugh maps to develop minimized logic circuits. Not explicitly addressed in this class. 23 Lecture 1 EE Subdisciplines Power Systems Electromagnetics Solid State Communication/Signal Processing Controls Digital Design 24 Lecture 1 Power Systems Generation of electrical energy Storage of electrical energy Distribution of electrical energy Rotating machinery-generators, motors 25 Lecture 1 Electromagnetics Propagation of electromagnetic energy Antennas Very high frequency signals Fiber optics 26 Lecture 1 Solid State Devices Transistors Diodes (LED’s, Laser diodes) Photodetectors Miniaturization of electrical devices Integration of many devices on a single chip 27 Lecture 1 Communications/Signal Proc. Transmission of information electrically and optically Modification of signals enhancement compression noise reduction filtering 28 Lecture 1 Controls Changing system inputs to obtain desired outputs Feedback Stability 29 Lecture 1 Digital Design Digital (ones and zeros) signals and hardware Computer architectures Embedded computer systems Microprocessors Microcontrollers DSP chips Programmable logic devices (PLDs) 30 Lecture 1 Case Study: C/Ku Band Earthstation Antennas Simulsat Parabolic Multiple horn feeds Horn feed ATCi Corporate Headquarters 450 North McKemy Chandler, AZ 85226 USA 31 Lecture 1 Case Study: C/Ku Band Earthstation Antennas Incoming plane wave is focused by reflector at location of horn feed. Geometric Optics 32 Lecture 1 Case Study: C/Ku Band Earthstation Antennas Feed horn is designed so that it will illuminate the reflector in such a way as to maximize the aperture efficiency. Maxwell’s equations 33 Lecture 1 Case Study: C/Ku Band Earthstation Antennas Feed horn needs to be able to receive orthogonal linear polarizations (V-pol and H-pol) and maintain adequate isolation between the two channels. V-pol H-pol 34 Lecture 1 Case Study: C/Ku Band Earthstation Antennas A planar orthomode transducer (OMT) is used to achieve good isolation between orthogonal linear polarizations. Maxwell’s Equations (“Full-Wave Solution”) 35 Lecture 1 Case Study: C/Ku Band Earthstation Antennas To LNB Feed waveguide (WR 229) Maxwell’s equations Horn Stripline circuit with OMT, ratrace and WR229 transitions 36 Lecture 1 Case Study: C/Ku Band Earthstation Antennas Layout of the stripline trace layer Single-ended probe WR229 Transitions Circuit Theory Differential-pair probes Ratrace hybrid 50 ohm transmission line Vias 37 Lecture 1 Case Study: C/Ku Band Earthstation Antennas The two linear polarizations each are fed to a LNB (low noise block). LNB LNB 38 Lecture 1 Case Study: C/Ku Band Earthstation Antennas LNB: LNA Mixer BPF IF Output: 950-1750 MHz (To Receiver) Circuit Theory, Behavioral Models, Information Theory Local Oscillator 39 Lecture 1 Overall System Performance Carrier-to-noise ratio (CNR) Bit error rate (BER) Maxwell’s Equations, Circuit Theory, Behavioral Models, Information Theory 40 Lecture 1 SI (International System of) Units Fundamental SI Units Quantity Unit Abbreviation length meter m mass kilogram k time second s current ampere A temperature kelvin K luminous intensity candela cd 41 Lecture 1 Why Do We Need Coordinate Systems? The laws of electrophysics (like the laws of physics in general) are independent of a particular coordinate system. However, application of these laws to obtain the solution of a particular problem imposes the need to use a suitable coordinate system. It is the shape of the boundary of the problem that determines the most suitable coordinate system to use in its solution. 42 Lecture 1 Orthogonal Right-Handed Coordinate Systems A coordinate system defines a set of three reference directions at each and every point in space. The origin of the coordinate system is the reference point relative to which we locate every other point in space. A position vector defines the position of a point in space relative to the origin. These three reference directions are referred to as coordinate directions, and are usually taken to be mutually perpendicular (orthogonal). 43 Lecture 1 Orthogonal Right-Handed Coordinate Systems Unit vectors along the coordinate directions are referred to as base vectors. In any of the orthogonal coordinate systems, an arbitrary vector can be expressed in terms of a superposition of the three base vectors. Consider base vectors such that Such a aˆ1 aˆ 2 aˆ3 â3 coordinate aˆ 2 aˆ3 aˆ1 system is called right-handed. aˆ3 aˆ1 aˆ 2 â1 44 Lecture 1 Orthogonal Right-Handed Coordinate Systems Note that the base vectors can, in general, point in different directions at different points in space. Obviously, if they are to serve as references, then their directions must be known a priori for each and every point in space. 45 Lecture 1 Coordinate Systems Used in This Class In this class, we shall solve problems using three orthogonal right-handed coordinate systems: Cartesian x, y, z , , z spherical r , , cylindrical 46 Lecture 1 Cartesian Coordinates The point P(x1,y1,z1) is located as the intersection of three mutually perpendicular planes: x=x1, y=y1, z=z1. The base vectors are aˆ x , aˆ y , aˆ z The base vectors satisfy the following relations: aˆ x aˆ y aˆ z â x aˆ y aˆ z aˆ x aˆ z aˆ x aˆ y 47 â z â y Lecture 1 Cylindrical Coordinates The point P(1,1,z1) is located as the intersection of three mutually perpendicular surfaces: =1 (a circular cylinder), =1 (a half-plane containing the z-axis), z=z1 (a plane). The base vectors are aˆ , aˆ , aˆ z aˆ is a unit vecto r in the direction of increasing aˆ is a unit vecto r in the direction of increasing aˆ z is a unit vecto r in the direction of increasing z 48 Lecture 1 Cylindrical Coordinates (Cont’d) z â z â z1 P(1,1,z1) 1 â y 1 x 49 Lecture 1 Cylindrical Coordinates (Cont’d) The base vectors satisfy the following relations: â aˆ aˆ aˆ z aˆ aˆ z aˆ aˆ z aˆ aˆ âz â aˆ p aˆq pq ; p, q , , z 50 Lecture 1 Spherical Coordinates The point P(r1,1,1) is located as the intersection of three mutually perpendicular surfaces: r = r1 (a sphere), 1 (a cone), and =1 (a half-plane containing the z-axis). The base vectors are aˆ r , aˆ , aˆ aˆ r is a unit vecto r in the direction of increasing r aˆ is a unit vecto r in the direction of increasing aˆ is a unit vecto r in the direction of increasing 51 Lecture 1 Spherical Coordinates (Cont’d) z â P(r1,1,1) âr 1 r1 â y 1 x 52 Lecture 1 Spherical Coordinates (Cont’d) The base vectors satisfy the following relations: âr aˆ r aˆ aˆ aˆ aˆ aˆ r aˆ aˆ R aˆ â aˆ p aˆq pq ; p, q r , , 53 Lecture 1 Spherical Coordinates (Cont’d) 0r z 0 0 2 or r y x 54 Lecture 1 Position Vector Position vector: r aˆ x x aˆ y y aˆ z z aˆ aˆ z z aˆ r r Arbitrary function of position: f r 55 Lecture 1