Phil Lucht Math & Physics Archive
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Repair Index

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Index written by Phil (dated 3.6.14) because the growing pile of documents had become hard to navigate. It lists ten documents in creation order, with section titles and page numbers. Topics include the Chapter 6 exact solution, Debye surface currents, field-line mapping, the two-cylinder (bipolar) problem, current asymmetry paradoxes, and computing Az and Ez.

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Repair Index PhL 3.6.14 Docs here are presented in creation date chronological order. I am making this index because there are so many documents, I can no longer find things. List of Documents: 1. Details of the Chapter 6 Exact Solution PhL 2/15/14 1 2. Study of the Ch6 solution1 1 3. Bull by the Horns 1 4. The Surface Currents Issue PhL 2.27.14 1 5. The field-line mapping problem PhL 2.28.14 2 6. Two Cylinder Calculations PhL 3.1.14 2 7. The Current Asymmetry Issue PhL 3.2.14 2 8. Computation of Az for two cylinders case PhL 3.3.14 3 9. A certain integral REVIEWED 3 10. Continuity at conductor surface. 3 What they contain: 1. Details of the Chapter 6 Exact Solution PhL 2/15/14 1. Comparing PDE's for φ and Az : for truly lossless, I think φt and Azt are the same. 1 2. What happens to φ and Az when losses are "turned on"? 4 3. Review of the Chapter 4 Logic Flow which leads to "the Zs Paradox" 4 4. Why I think Zs(θ) varies strongly with θ for the two-cylinder problem. 6 5. Calculate the moments ηm for the two-cylinder problem! 8 6. Status Report and Pull lines doc from the Web 12 2. Study of the Ch6 solution1 This is just the first cut of bipolar doc. 3. Bull by the Horns 1. Essay on the subject of Asymmetry Correlation 2 2. Review of the Charge Pumping Condition: Debye Surface Currents ?? 4 3. Web on Debye Surface Currents ?? (find Pozar's book) 6 4. Levels of Approximation Idea. 8 5. What sections of lines doc are in trouble? 8 4. The Surface Currents Issue PhL 2.27.14 1. Web search on notion of Debye surface currents. 1 2. Why is H = 0 inside a perfect conductor? 4 3. The finite H field inside a real wire. 4 4. Is there really a wave solution at low ω ? 6 5. Compute curl E for the bipolar doc solution in bipolar coordinates 7 6. Computation of the H fields for the two-cylinder problem with uniform currents 9 (a) Computation outside the conductors only 9 (b) Redo the computation so valid both inside and outside cylinders 11 7. Comments on Debye surface currents (from bed session) 13 8. Comments on "Where does the surface charge come from, and where does it go? " 14 9. The two rings paradox and its resolution 15 5. The field-line mapping problem PhL 2.28.14 1. A Numerical Field-Line Method 1 2. That Numerical Method applied to the two cylinder problem 3 3. An analytic field-line method applied to the two-thin-wires problem 8 4. Question: Are these circles the circles of Apollonius? [ answer is yes ] 11 6. Two Cylinder Calculations PhL 3.1.14 1. Review of the Moments ηm 1 2. These moments then determine the Er(r=a-ε,m) via the charge pump BC. 1 3. Erroneous Development of the "two circles" Contradiction 2 4. Compute and Plot Az for two cylinders (uniform current) 5 7. The Current Asymmetry Issue PhL 3.2.14 1. Quoting the round wire E field partial wave results and β, βd and β' 1 2. Study of the Ratio Ez(r,m)/ Ez(a,m) and Er(r,m)/ Er(a,m) 4 3. Why do all components have same skin effect? 6 4. Comparison of fields for different m values 7 5. Paradox #1 Brewing 8 6. Review of H being tangent to the surface in skin regime: 10 7. Paradox #2 with the King Gauge 11 8. A Review of the Idea that Hn = 0 at a surface in the skin effect limit. 11 9. Review of Paradox #2 of the King Gauge 14 10. Residual Question on Quasi Static 15 11. Resolution of Paradox #1 (added 3/5/14) 16 12. Resolution of Paradox #2 (added 3/5/14) 16 8. Computation of Az for two cylinders case PhL 3.3.14 1. Formula to use 1 2. Bipolar doc solution for φ 1 3. Review of the moments ηm 2 4. Use moments to compute Ez(r,φ) 2 5. Symmetry of fm and value of f0. 2 6. Final formula for Ez(r,φ). 3 7. What value of β' should be used? 4 8. Maple program to compute Ez(r,θ). 5 9. How to get surface current Kz from Jz 6 10. Attempt computation of Az 6 11. Getting Jz directly from n(φ) ? 10 12. Implications of this new continuity fact. 12 13. Dimension problems in bipolar doc 14 14. Resume on new Az expression 14 9. A certain integral REVIEWED Discusses a certain integral which appears in the previous doc Section 10. 10. Continuity at conductor surface. The charge pump boundary condition is unaffected by Debye surface currents.