EEE445_Lectr09_coax_strip

EEE445_Lectr09_coax_strip - TRM Example 1: TEm0 Modes of...

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TRM Example 1: TE m0 Modes of Partially Loaded RWG 2 2 2 2 2 0 2 0 2 2 0 2 2 0 , 0 , r x y z xa xd r k x t k k k k k t x a k k k k ε β < < + + = = < < = - = - 0 x t < < t x a < < At cutoff = 0 : xa c xd r c k k k k = = a b x t 0 r 0 y
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TRM Example 1: TE m0 Modes of Partially Loaded RWG 0 0 0 0 a xa c d xd r c Z k k Z k k ϖμ ε = = = = , d xd Z k L Z R Z , a xa Z k t a t - θ H E k β / cos TE k Z η = = = z y x (3.21)
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Transmission line input impedances Characteristic equation for k c : ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 { } 0 0 tan tan tan tan Im 0 resonant onditionc L d xd r c r c R a xa c c L R Z jZ k t j k t k Z jZ k a t j k a t k Z Z ϖμ ε = = = - = - + = ⇐ ( 29 ( 29 ( 29 tan tan 0 c r c r c c k k t k k a t + - =
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Coaxial Line, Stripline, Microstrip, and Other Types of Planar Transmission Lines To understand the design formulas and principles for coaxial line, stripline and microstrip. To briefly introduce some of the other less popular (but nonetheless important) types of planar transmission lines. EEE 591/445 Lecture 09 4
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3.6 Coaxial Line EEE 591/445 Lecture 09 5 Pozar, Microwave Engineering, 3ed. Fig. 3.15
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Properties of Coaxial Line Dominant mode is TEM. Transmission line parameters are given in Table 2.1 (p. 55). From the transmission line parameters, we can obtain characteristic impedance, phase constant and attenuation constant. EEE 591/445 Lecture 09 6
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Higher Order Modes of Coaxial Line The lowest order higher order (waveguide) mode of the coaxial cable is the TE 11 mode. Virtually always, we want to avoid using the coaxial cable at frequencies where the higher order modes can propagate. EEE 591/445 Lecture 09 7
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Modal Fields for TEM and TE11 Modes in Coaxial Waveguide EEE 591/445 Lecture 09 8 TEM TE11 Pozar, Microwave Engineering, 3ed.
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EEE445_Lectr09_coax_strip - TRM Example 1: TEm0 Modes of...

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