EEE340Lecture 381 8-10: Oblique Incidence at a Plane Dielectric Boundary A plane wave propagating in where z x.

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Presentation transcript:

EEE340Lecture : Oblique Incidence at a Plane Dielectric Boundary A plane wave propagating in where z x

EEE340Lecture 382 When a plane wave impinges on a plane dielectric boundary, the normal of the boundary and the incident ray form a plane called the plane of incidence. If the E-field of the incident wave to The plane wave of incidence, then polarization

EEE340Lecture 383 Configuration of polarization

EEE340Lecture : Perpendicular (Horizontal) Polarization (8.196) (8.197)

EEE340Lecture 385 The reflected wave The transmitted wave (8.198) (8.199) (8.200) (8.201)

EEE340Lecture 386 Boundary conditions at z=0 lead to Since (8.202) and (8.203) are held for arbitrary x Phase (continuity) matching condition (8.202) (8.203)

EEE340Lecture 387 Referring to the angle of incidence  i, reflection  r, and transmission  t, we see The phase matching condition is now which provides where refractive index n (not impedance ) is defined as Snell’s law of reflection Snell’s law of refraction (8-183) (8-184)

EEE340Lecture 388 We can obtain the magnitude of the three wave vectors by and We find In the combination with the phase matching, we obtain

EEE340Lecture 389 Using (8.202) we have Using (8.203), (8.208) (8.206) (8.207)