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4.6 - Department of Electrical and Computer Engineering...

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Department of Electrical and Computer Engineering ECSE 352 Electromagnetic Waves and Optics 6 Dielectric slab waveguides 4.6 Dielectric slab waveguides References: Section 14.6 @AGK 4.6-1 Overview • We previously investigated the behaviour of waveguides with conducting walls. • In this class we will apply that approach to ielectric slab waveguides, and will see that we dielectric slab waveguides, and will see that we need to take the phase shift on reflection into account. This leads to the derivation of the modes of dielectric slab waveguides. s we will see analytic solutions are not possible As we will see, analytic solutions are not possible, but we can draw some important conclusions. ECSE 352 4.6-2 Learning Outcomes After taking this class, you should be able to: • Explain why dielectric waveguides have a finite number of modes plain hat is meant by the sel onsistency Explain what is meant by the self-consistency equation • Sketch the field distribution for a dielectric slab waveguide • Recognize the equations for the z components of he field distribution or a dielectric slab the field distributions for a dielectric slab waveguide ECSE 352 4.6-3 Outline • Review of conducting waveguides • Guiding condition • Dielectric waveguides: phase shift on reflection lf nsist n ti Self-consistency equation • Modes of a dielectric slab waveguide ECSE 352 4.6-4
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Waveguide Concept Map Conductive boundary ielectric boundary Rectangular ylindrical geometry boundary Wave confinement Dielectric boundary Cylindrical Guided wave types sults in causes Propagation modes Transverse lectromagnetic Transverse magnetic results in have are electromagnetic TEM Cut-off frequency (TM) Transverse electric (TE) cause Have lower losses at igh frequency than Frequency dependent: have have Attenuation and dispersion ECSE 352 4.6-5 high frequency than transmission lines Impedance, phase, group velocity Optical fiber Single mode fiber: Loss < 0.2 dB/km ispersion < 2 ps/km.nm Coating (245 μm diameter) Dispersion 2 ps/km.nm Cladding (125 μm diameter) g( μ
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