161_1_Class2

161_1_Class2 - EE161 Electromagnetic Waves Spring, 2010...

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Unformatted text preview: EE161 Electromagnetic Waves Spring, 2010 Prof. Y. Ethan Wang Electrical Engineering Dept. UCLA Lesson 2 Boundary Conditions in PEC Complex Variable & Phasor Time-harmonic Maxwells equations Wave Equations Summary of Boundary Conditions ) ( ) ( ) ( ) ( 2 1 2 1 2 1 2 1 = = = = B B i D D i J H H i E E i n S n S n n n i Unit normal to the surface 1 2 boundary In scalar forms 2 1 2 1 2 1 2 1 = = = = n n S n n S t t t t B B D D J H H E E In vector forms Application of boundary conditions are essential in solving Maxwell equations in differential form Boundary Conditions on Dielectrics n i Unit normal to the surface 1 2 boundary 2 1 2 1 2 1 2 1 = = = = n n S n n S t t t t B B D D J H H E E 1 2 , 2 1 = s J finite 2 1 t t E E = 2 1 t t H H = The conclusion is: Boundary Conditions on PEC n i Unit normal to the surface 1 2 boundary 2 1 2 1 2 1 2 1 = = = = n n S n n S t t t t B B D D J H H E E 1 2 2 S n J H i = 1 2 2 1 = = t t E E 2 2 1 = = n n B B 2 S n D = 1 2 2 2 2 = = = = D B H E (inside PEC) Maxwells Equations and Boundary Conditions in One Glance Integral Form Differential Form Boundary Conditions = S C dS dt d dl B E + = S S C dS dt d dS dl D J H = V S dv dS D = S dS B t...
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161_1_Class2 - EE161 Electromagnetic Waves Spring, 2010...

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