Coupled mode theory_cont with notes

Coupled mode theory_cont with notes - Coupler Waveguide...

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Today: Coupled mode theory (cont) : Chapter 10 Coupling between a source and a waveguide (chapter 11)
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jKB z A - = jKA z B - =
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Bragg Gratings A j - z e j ( β z + w t ) - A j + z e - j ( z - w t ) = - j 2 w 2 t 2 P pert ( x ) ε j ( x ) dx -∞
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) ( ) ( ) ( x t x r x t i i ε = + ) ( ) ( ) ( x tH x rH x H t i i = - y x H ϖ μ β - = nm m n x x δ - = - ) ( ) ( 2 1
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Silicon waveguide Fiber Light
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( 29 2 2 2 2 1 2 2 2 1 4 ϖ η + =
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Naive Solution 0.5 μ m 10 μ m cm
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Inverse Taper 0.5 μ m 10 μ m 20 μ m
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a = n s 2 - n c 2 ( 29 / n e ff 2 - n s 2 ( 29 a = as sym e try b = n eff 2 - n s 2 ( 29 / n f 2 - n c 2 ( 29 n eff / K 0 V m = hK o n f 2 - n s 2 2 2 0 2 2 0 1 / 1 c eff n k n k - = γ
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Fabrication <1dB losses 200 nm
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Unformatted text preview: Coupler Waveguide eida, V. R., Panepucci, R. R., and M. Lipson, Optics Letters, 28, 1302 (2003). Substrate x z y Substrate (Si) Optical Fiber MFD = 4.9 m w s = 120 nm h = 250 nm Cladding (SiO 2 ) Simulations 95% efficiency...
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This note was uploaded on 08/10/2010 for the course ECE 4370 at Cornell University (Engineering School).

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Coupled mode theory_cont with notes - Coupler Waveguide...

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