OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1 500, Spring 2011, Lecture 11, Bouncing Rays 1...

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Page 1: OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1 500, Spring 2011, Lecture 11, Bouncing Rays 1 OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 2 OPTI 500, Spring 2011, Lecture 11,

OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1

Page 2: OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1 500, Spring 2011, Lecture 11, Bouncing Rays 1 OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 2 OPTI 500, Spring 2011, Lecture 11,

OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 2

Page 3: OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1 500, Spring 2011, Lecture 11, Bouncing Rays 1 OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 2 OPTI 500, Spring 2011, Lecture 11,

OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 3

Page 4: OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 1 500, Spring 2011, Lecture 11, Bouncing Rays 1 OPTI 500, Spring 2011, Lecture 11, Bouncing Rays 2 OPTI 500, Spring 2011, Lecture 11,

OPTI 500, Spring 2011, Lecture 10, Bouncing Rays 4

Allowed Bouncing Ray Angles and Propagation Constants

90° θc=sin-1(n2/n1) θ1 θ2 θ3

β1 β2 β3 n1k0 2πn1sin(θc)/λ0

θ

β

θ n1

n2

n1k0=2πn1/λ0

β