Feb17_Slab_lecture_notes_final

# Feb17_Slab_lecture_notes_final - Today Slab...

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Today Slab waveguides (48-55)

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E y ( x ) = A e - γ c x x 0 Bcos K f x ( 29 + C sin K f x ( 29 0 < x <- h D e c x + h ( 29 x <- h Goal today: find the values of B,C,D and as a β function of A n = β 2 - K 0 2 n i K f = K 0 2 n i 2 2 Solutions of the field in the guiding regime:
E and H continuous-need to find H in terms of t B E - = ×

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E y ( x ) = A e - γ c x x 0 Bcos K f x ( 29 + C sin K f x ( 29 0 < x <- h D e c x + h ( 29 x <- h n = β 2 - K 0 2 n i K f = K 0 2 n i 2 2 x E j H y z = μϖ
( 29 ( 29 ( 29 ( 29 ( 29 - < + - < < - = + - h x e h K K A h K h x x K K A x K x e x E h x f f c f f f c f x y c c sin cos A 0 sin cos A 0 A ) ( γ n = β 2 - K 0 2 n i K f = K 0 2 n i 2 2 Example

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( 29 ( 29 ( 29 ( 29 ( 29 - < + - < < - = + - h x e h K K A h K h x x K K A x K x e x E h x f f c f f f c f x y c c sin cos A 0 sin cos A 0 A ) ( γ n = β 2 - K 0 2 n i K f = K 0 2 n i 2 2 Transcedental equation x E j H y z = μϖ
Example

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Feb17_Slab_lecture_notes_final - Today Slab...

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