Elements of electromagnetic field theory and guided waves

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Presentation transcript:

Elements of electromagnetic field theory and guided waves Applications of Brewster’s and TIR effects Slab waveguide and Brillouin’s waves Transmission line (TL) concept Parallel-plate waveguide (PPWG) with the TEM wave Telegrapher equations for PPWG General telegrapher equations

Application of Brewster and TIR effects Natural pol. (chaotic ellipse) Polariz. rotator x Linear Optical waveguide Lossless polarization of natural light Linear Simple mirror 2. Slab optical waveguide

Brillouin waves in a slab WG y z R+ R- d/2 Ei Etr q

Odd TE modes x Ei R+ Etr q x z x R- Both E0 and E1 comprise exp(-jbzz)

Transmission Line concept (bz≡b) Open TL x z x z x z x z e-jbz =e-gz x z e-jbz =e-gz x x z z Confined TL

Parallel-Plate Waveguide with a TEM wave Medium with e and m

L and C p.u.l. y w d x z Inductance p.u.l. Capacitance p.u.l.

Telegrapher equations for PPW Wave impedance Phase velocity y - field inside y V, I - response of the plates to fields inside

General telegrapher equations Similarly