Hanyang University 124 Antennas RF Devices Lab Hanyang
Hanyang University 1/24 Antennas & RF Devices Lab.
Hanyang University MICROWAVE ENGINEERING David M. Pozar 2/24 Antennas & RF Devices Lab.
Hanyang University Maxwell’s curl equations FIGURE 3. 7 Geometry of a rectangular waveguide Transverse field components of TE mode Separation of variables 3/24 Antennas & RF Devices Lab.
Hanyang University FIGURE 3. 7 Geometry of a rectangular waveguide Separation of variables Transverse field components of TE mode General solution 4/24 Antennas & RF Devices Lab.
Hanyang University General solution FIGURE 3. 7 Geometry of a rectangular waveguide Transverse field components of TE mode 5/24 Antennas & RF Devices Lab.
Hanyang University General solution FIGURE 3. 7 Geometry of a rectangular waveguide Transverse field components of TEmn mode Transverse field components of TE mode 6/24 Antennas & RF Devices Lab.
Hanyang University Cutoff frequency Propagation constant 7/24 Antennas & RF Devices Lab.
Hanyang University TE 10 Mode Power Use Poynting’s theorem, integrate in x and y directions. TE 01 Mode 8/24 Antennas & RF Devices Lab.
Hanyang University Maxwell’s curl equations FIGURE 3. 7 Geometry of a rectangular waveguide Transverse field components of TM mode Separation of variables 9/24 Antennas & RF Devices Lab.
Hanyang University FIGURE 3. 7 Geometry of a rectangular waveguide Separation of variables Transverse field components of TM mode General solution 10/24 Antennas & RF Devices Lab.
Hanyang University General solution FIGURE 3. 7 Geometry of a rectangular waveguide Transverse field components of TM mode 11/24 Antennas & RF Devices Lab.
Hanyang University Propagation constant Transverse field components of TMmn mode Condition for beta to be ‘Real’ (Propagating mode) Wave impedance Cutoff frequency Guide wavelength There is no TM 00, TM 01, or TM 10 mode. The lowest cutoff frequency occurs for the TM 11 Phase velocity TE = TM 12/24 Antennas & RF Devices Lab.
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Hanyang University FIGURE 3. 11 Geometry of a circular waveguide. Transverse field components 15/24 Antennas & RF Devices Lab.
Hanyang University Laplace operator in Cylindrical coordinates Separation of variables General solution 16/24 Antennas & RF Devices Lab.
Hanyang University ⇒ Separation of variables 17/24 Antennas & RF Devices Lab.
Hanyang University Boundary condition FIGURE 3. 11 Geometry of a circular waveguide. 18/24 Antennas & RF Devices Lab.
Hanyang University Propagation constant (TEnm mode) Cutoff frequency Transverse field components Wave impedance 19/24 Antennas & RF Devices Lab.
Hanyang University Dominant Mode TE 01 TE 21 TE 11 20/24 TE 31 Antennas & RF Devices Lab.
Hanyang University TE 10 mode Propagation constant (TMnm mode) ⇒ There is no TM 10 mode! Cutoff frequency 21/24 Antennas & RF Devices Lab.
Hanyang University Transverse field components Wave impedance 22/24 Antennas & RF Devices Lab.
Hanyang University TM 01 TM 11 TE 11 Mode is the dominant mode of the circular waveguide! 23/24 Antennas & RF Devices Lab.
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