2 reflection and refraction at a plane英文.pdf

Chapter 2 three-layer
dielectric slab waveguides
 Slab waveguides
simple geometric and basic structure
analytic solution of guided modes and radiation modes
TE and TM modes
 Ray optics
begin by considering reflection and refraction at a plane
dielectric interface then derivation eigenvalue equation
 Electromagnetic field theory
identical eigenvalue equation, mode fields, mode numbers
and cut-off condition etc
 Real index complex index
 Three-layer---multiple layer
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§ Reflection and refraction
at a plane dielectric interface
§ Snell’s laws
§ Fresnel’s laws
§ Normal incidence
§ Brewster angle
§ Critical angle
§ Phase shift on total internal reflection
§ Goos-Haenchen shift（古斯汉欣位移）
§ Summery and numerical example
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Reflection and refraction at a plane dielectric interface
3: reflected light x 1: incident light
θ θ
3 1 n1
z 
−i(ω t −⋅ nk r)
θ2
n2 Ee∝
2: refracted light Figure
 
−iwt （）
Incident wave: Ei = E1 eexp[ ikn( −+ x cosθθ z sin) ]
  1 11
−iwt （）
Reflected wave: Er = E3 eexp[ ikn( x cosθθ+ z sin) ]
  13 3
Refracted wave: −iwt （）
Et = E2 eexp[ ikn2( −+ x cosθθ 22 z sin) ]
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§ Reflection and refraction
§ Snell’s laws
(1)Description of Snell’s laws
(2)Two mediums
(3)Derivation of Snell’s laws --- ray optics
(4) Derivatio