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1.1 1.2 1.3 1.4 1.5 1.6 Legislation Overview / 1.3 Waste Electrical and Electronic Equipment (WEEE) / 1.3 Restriction of Hazardous Substances (RoHS) / 1.3 RoHS Impact on the Printed Circuit Industry / 1.6 Lead-Free perspecives / 1.10 Other Legislative Initiatives / 1.10

What Do I Do First A Jump Start Why Are You Speaking Why Are You Speaking Mental Preparation Now What Audience Analysis Demographics: Statistical Characteristics Psychographics: Attitudes, Values, and Interests Situation Finding Information to Support Your Ideas What Information Do I Include Sources of Information Types of Data 3 3 5 6 7 10 15 16 19 25 33 34 35 38

Fig. 13-7. An illustration of the expansion which is calculated from Re( ). The rst shadow shows no expansion, while the second illustrates convergence, and last one on the right divergence.

2.1 Introduction / 2.3 2.2 Measuring the Interconnectivity Revolution (HDI) / 2.3 2.3 Hierarchy of Interconnections / 2.6 2.4 Factors Affecting Selection of Interconnections / 2.7 2.5 ICS and Packages / 2.10 2.6 Density Evaluations / 2.14 2.7 Methods to Increase PWB Density / 2.16 References / 2.21

3.1 Introduction / 3.1 3.2 Single-Chip Packaging / 3.5 3.3 Multichip Packages / 3.15 3.4 Optical Interconnects / 3.18 3.5 High-Density/High-Performance Packaging Summary / 3.21 3.6 Roadmap Information / 3.21 References / 3.21

4.1 Introduction / 4.1 4.2 Lead-Free / 4.2 4.3 System-on-a-Chip (SOC) versus System-on-a-Package (SOP) / 4.3

4.4 Multichip Modules / 4.5 4.5 Multichip Packaging / 4.6 4.6 Enabling Technologies / 4.10 4.7 Acknowledgment / 4.18 References / 4.18

5.1 Introduction / 5.1 5.2 Classification of Printed Wiring Boards / 5.1 5.3 Organic and Nonorganic Substrates / 5.3 5.4 Graphical and Discrete-Wire Boards / 5.3 5.5 Rigid and Flexible Boards / 5.5 5.6 Graphically Produced Boards / 5.6 5.7 Molded Interconnection Devices / 5.10 5.8 Plated-Through-Hole (PTH) Technologies / 5.10 5.9 Summary / 5.13 References / 5.14

6.1 Introduction / 6.1 6.2 Grades and Specifications / 6.3 6.3 Properties Used to Classify Base Materials / 6.9 6.4 Types of FR-4 / 6.13 6.5 Laminate Identification Scheme / 6.14 6.6 Prepreg Identification Scheme / 6.18 6.7 Laminate and Prepreg Manufacturing Processes / 6.18 References / 6.24

7.1 Introduction / 7.1 7.2 Epoxy Resin Systems / 7.1 7.3 Other Resin Systems / 7.5 7.4 Additives / 7.7 7.5 Reinforcements / 7.12 7.6 Conductive Materials / 7.18 References / 7.25

8.1 Introduction / 8.1 8.2 Thermal, Physical, and Mechanical Properties / 8.1 8.3 Electrical Properties / 8.13 References / 8.16

9.1 9.2 9.3 9.4 9.5 Introduction / 9.1 Methods of Increasing Circuit Density / 9.2 Copper foil / 9.2 Laminate Constructions / 9.7 Prepreg Options and Yield-Per-Ply Values / 9.9

9.6 Dimensional Stability / 9.10 9.7 High-Density Interconnect/Microvia Materials / 9.13 9.8 CAF Growth / 9.15 9.9 Electrical Performance / 9.22 References / 9.33

Putting the Pieces in Order Chronological Pattern Spatial Pattern Topical Pattern Cause-and-Effect Pattern 47 48 49 49 50

10.1 Introduction / 10.1 10.2 RoHS Basics / 10.1 10.3 Base Material Compatibility Issues / 10.2 10.4 The Impact of Lead-Free Assembly on Base Material Components / 10.4 10.5 Critical Base Material Properties / 10.4 10.6 Impact on Printed Circuit Reliability and Material Selection / 10.18 10.7 Summary / 10.21 References / 10.22

11.1 Introduction / 11.1 11.2 Pcb fabrication and Assembly Interactions / 11.1 11.3 Selecting the Right Base Material for Specific Application / 11.6 11.4 Example Application of this Tool / 11.14 11.5 Discussion of the Range of Peak Temperatures for Lead-Free Assembly / 11.15 11.6 Lead-Free Applications and Ipc-4101 Specification Sheets / 11.15 11.7 Additional Base material Options for Lead-Free Applications / 11.16 11.8 Summary / 11.17 References / 11.18

12.1 12.2 12.3 12.4 12.5 12.6 12.7 Introduction / 12.1 Industry Standards / 12.2 Laminate Test Strategy / 12.4 Initial Tests / 12.5 Full Material Characterization / 12.9 Characterization Test Plan / 12.22 Manufacturability in the Shop / 12.23

twist, and shear of a null congruence: Re ( ) expansion Im ( ) twist | | shear These quantities are interpreted in the following way. For the sake of understanding, we think of the null congruence as a set of light rays. Now imagine that an object is in the path of the light rays and it casts a shadow on a nearby screen. (see Fig. 13-8) The expansion can be understood as seeing the cast shadow either larger or smaller than the object. That is, if the shadow is larger, the light rays are diverging while a smaller shadow indicates that the light rays are converging. The twist is described in this thought experiment by a rotation of the shadow. (13.27)