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Unformatted text preview: NOTES ON COMPUTATIONAL ELECTROMAGNETICS Qing Huo Liu Duke University Spring 2008 Contents 1 Basics of Electromagnetics Theory 1 1.1 Maxwells Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Maxwells Equations in Differential Form . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.2 Maxwells Equations in Integral Form . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Constitutive Relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.1 Special Case I: Source-Free Media with a Finite Conductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.2 Special Case II: Medium 1 is a Perfect Electric Conductor (PEC) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.3 Special Case III: Medium 1 is a Perfect Magnetic Conductor (PMC) . . . . . . . . . . 5 1.4 Power and Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.5 Time-Harmonic Electromagnetic Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5.1 Maxwells Equations for Phasor EM Fields . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5.2 Power and Energy for Phasor EM Fields . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.5.3 Complex Permittivity and Complex Permeability . . . . . . . . . . . . . . . . . . . . . 8 1.6 Fields in a Homogeneous Medium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.6.1 Principle of Superposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.6.2 Magnetic Vector Potential A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.6.3 Electric Vector Potential F . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.6.4 A Point Electric Dipole Source . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.6.5 Arbitrary Volume Sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.7 Volume Equivalence Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.8 Volume Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.9 Surface Equivalence Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.9.1 Loves EquivalentLoves Equivalence Principle . . . . . . . . . . . . . . . . . . . . . 15 1.9.2 Equivalent PEC Scatterer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.9.3 Equivalent PMC Scatterer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.10 Surface Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.10.1 Surface Integral Equations for a Dielectric Object . . . . . . . . . . . . . . . . . . . . ....
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This note was uploaded on 01/16/2011 for the course MATH 224 taught by Professor Layton,a during the Fall '08 term at Duke.

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cem_book - NOTES ON COMPUTATIONAL ELECTROMAGNETICS Qing Huo...

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