Electrodynamics, chap08_revised

Electrodynamics, chap08_revised - () : Electrodynamics (II)...

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清大物理系 “電動力學 ( )” 任課老師 : 朱國瑞 Electrodynamics (II)” (PHYS 532) Department of Physics, National Tsing Hua University, Taiwan Kwo Ray Chu, Rm. 713, Tel. 4-2525, krchu@phys.nthu.edu.tw Spring Semester, 2008 1 . Textbook and Contents of the Course : J. D. Jackson, “Classical Electrodynamics”, 3rd edition, Chapters 8-11, 14. Other books will be referenced in the lecture notes when needed. 2. Conduct of Class : Lecture notes will be projected sequentially on the screen during the class. Physical concepts will be emphasized, while algebraic details in the lecture notes will often be skipped. Questions are encouraged . It is assumed that students have at least gone through the algebra in the lecture notes before attending classes ( important !).
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3. Grading Policy: Midterm (~46%); Final (~46); Attendance (~6%); Homework (~2%). The overall score will be normalized to reflect an average consistent with other courses. 4. Lecture Notes: Starting from basic equations, the lecture notes follow Jackson closely with algebraic details filled in. Equations numbered in the format of (8.7), (8.9). .. refer to Jackson. Supplementary equations derived in lecture notes, which will later be referenced, are numbered (1), (2). .. [restarting from (1) in each chapter.] Equations in Appendices A, B…of each chapter are numbered (A.1), (A.2)…and (B.1), (B.2)… Page numbers cited in the text (e.g. p. 395) refer to Jackson. Section numbers (e.g. Sec. 8.1) refer to Jackson (except for sections in Ch. 11). Main topics within each section are highlighted by boldfaced characters. Some words are typed in italicized characters for attention. Technical terms which are introduced for the first time are underlined .
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n , , σ εμ cc ξ , HE 0 Notations: :fields outside the conductor; : fields inside the conductor; :a unit vector to conductor surface; :a normal coordinate into the conductor. Assu CC H E n me: (i) fields (ii) good but not perfect conductor, i.e. 1 [See Ch. 7 of lecture notes, Eq. (24)], but (iii) ( 0) is known. Find: ( ), ( ), and pow ω ωε ξξ ≠ ∞ = & ± it b e H EH er loss, etc. in terms of ( 0) ξ= & H 8.1 Fields at the Surface of and Within a Good Conductor* __________________________________________________________________ *The main results of Sec. 8.1 [ (8.9), (8.10), (8.12), (8.14), and (8.15)] have been derived by a much simpler method in lecture notes on Ch. 7. [See contents following Eq. (26)]. So, we will not cover this section in classes. Chapter 8: Waveguides, Resonant Cavities, and Optical Fibers
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( ), ( ) : In the conductor, we have (1) (2) ξ ωμ σω ε σ ⎧∇× =− = ∇× = + = ∇− ± ± CC t b t cc c c c c c i i Calculation of E H EB H HJ D E E E 1 In a good conductor, fields vary rapidly along the normal to the surface, see Ch. 7 of lecture notes. (3) (4) (1), (2), (3) σξ μω ⎡⎤ ⎢⎥ ⎣⎦ ≈− × ≈× C i c n En H Hn () 2 22 2 (5) Sub. (4) into (5): 0 (8.7) ( 0 ) ( ) (0) (0) ξξ δδ ξδ −− ×+ ×≈ ⇒× ⇒≈ = && & i ii i c ee E nH HH H (6) (5) ( ) 0 ( ) ( ) (7) Sub. (7) into (6) ( ) (0) (8.9) ⋅⇒ & & i c c nn H H H ≠ ∞ c J= E & c H H & o good conductor assumption 8.1 Fields at the Surface of and Within a Good Conductor ( continued ) 2 skin depth μωσ δ ≡= c b.c. at 0: (0)
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This note was uploaded on 05/14/2010 for the course EAD 234 taught by Professor Ncl during the Spring '10 term at École Normale Supérieure.

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Electrodynamics, chap08_revised - () : Electrodynamics (II)...

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