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EEE 537 L7 Waveguide Theory Based on Wave Optics

EEE 537 L7 Waveguide Theory Based on Wave Optics -...

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Waveguide Theory Based on Wave Optics Waveguides were discussed in terms of geometric optics or ray optics (Snell’s law total reflection etc) or ray optics (Snell s law, total reflection etc) Geometric or ray optics fails to describe certain optical phenomena (interference, diffraction, polarization, etc) More rigorous description is wave optics, or physical optics (under what conditions is geometric optics valid?) In wave optics, waveguides are dealt with by solving Maxwell’s equations directly with appropriate boundary conditions EEE537 Fall 2010 C.Z. Ning, ECEE ASU 1
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Planar Waveguide: Polarization Constrains General solution of the field in a 2D waveguide with propagation direction along z ] z) - i( ω [ e ) y x, ( β t xp E E = ] z) - i( ω [ e ) y x, ( β t xp H H = β : propagation constant for propagating wave with given free space wavelength: π π λ c 2 2 How do you determine β ? ω k 0 = = EEE537 Fall 2010 C.Z. Ning, ECEE ASU Part of task of waveguide theory: solve wave equation with boundary conditions! How do you determine 2
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