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Lecture: Transmission Lines and Waveguides

Lecture: Transmission Lines and WaveguidesMicrowave Measurement and Beam Instrumentation Courseat Jefferson Laboratory, January 15-26th2018 Wednesday, January 17, 2018F. MarhauserThis Lecture Introduction to Various Transmission Lines Coaxial Lines Wave Impedance Conditions for minimum Damping, maximum Voltage rating, and maximum Power Transmission Attenuation and Power Capability, what are the Technical Limits? Bandwidth Higher Order Mode TE11 mode Cutoff Frequency Waveguides (Round and Rectangular) Most derivations are now in Appendix including full Set of RF field Components Cutoff Frequencies Group and Phase Velocity Examples of Mode Pattern Attenuation of Fields below Cutoff Frequency Poynting Vector Derivation of Transmitted Power in TE10mode of Rectangular Waveguide USAPS Experiment with Rectangular Waveguide2 Some typical Transmission linesRound WaveguideR

• The dielectric constant then approaches more and more that of air if the frequency increases • At low frequencies, the fields resemble closely a TEM mode (v= 0/ å)with fields confined in the dielectric, but at high frequency there are more non-negligible longitudinal components of both E or H resulting in a ‘quasi’ TEM mode

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