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The document discusses various resonant circuits and their responses, as well as coupling mechanisms and perturbations of resonant cavities.

Series and parallel RLC resonant circuits, resonant transmission lines, and rectangular and cylindrical resonant cavities are discussed.

Examples include gap coupling of microstrip resonators, probe feeding of rectangular cavities, aperture coupling between waveguides and cavities, and coupling of dielectric resonators.

Figure 6.1 (p.

267)
A series RLC resonator and its response. (a) The series RLC circuit. (b) The input impedance magnitude versus frequency.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.2 (p. 269)


A parallel RLC resonator and its response. (a) The parallel RLC circuit. (b) The input impedance magnitude versus frequency.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.3 (p. 271)


A resonant circuit connected to an external load, RL.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.4 (p. 273)


A short-circuited length of lossy transmission line, and the voltage distributions for n = 1 2 and n 2( ) resonators.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.5 (p. 276)


An open-circuited length of lossy transmission line, and the voltage distributions for n = 1 2 and n 2( ) resonators.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.6 (p. 278)


A rectangular resonant cavity, and the electric field distributions for the TE101 and TE102 resonant modes.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.7 (p. 283)


Photograph of a W-band waveguide frequency meter. The knob rotates to change the length of the circuit-cavity resonator; the scale gives a readout of the frequency.
Photograph courtesy of Millitech Corporation, Northampton, Mass.

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.8 (p. 283)


A cylindrical resonant cavity, and the electric field distribution for resonant modes with 1 or 2
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.9 (p. 284)


Resonant mode chart for a cylindrical cavity.
Adapted from data from R.E. Collin, Foundations for Microwave Engineering (McGraw-Hill, 1965)

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.10 (p. 286)


Normalized Q for various cylindrical cavity modes (air-filled).
Adapted from data from R.E. Collin, Foundations for Microwave Engineering (McGraw-Hill, 1965)

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.11 (p. 288)


Geometry of a cylindrical dielectric resonator.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.12 (p. 288)


Magnetic wall boundary condition approximation and distribution of Hz versus I for p = 0 of the first mode of the cylindrical dielectric resonator.

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.13 (p. 291)


Coupling to microwave resonators. (a) A microstrip transmission line resonator gap coupled to a microstrip feedline. (b) A rectangular cavity resonator fed by a coaxial probe. (c) A circular cavity resonator aperture coupled to a rectangular waveguide. (d) A dielectric resonator coupled to a microstrip feedline.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.14 (p. 292)


A series resonant circuit coupled to a feedline.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.15 (p. 293)


Smith chart illustrating coupling to a series RLC circuit.

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.16 (p. 293)


Equivalent chart of the gap-coupled microstrip resonator of Figure 6.13a.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.17 (p. 294)


Solutions to (6.78) for the resonant frequencies of the gap-coupled microstrip resonator.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.18 (p. 296)


Smith chart plot of input impedance of the gapcoupled microstrip resonator of Example 6.6 versus frequency for various values of the coupling capacitor.

Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.19 (p. 296)


A rectangular waveguide aperture coupled to a rectangular cavity.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.20 (p. 297)


Equivalent circuit of the aperture-coupled cavity.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.21 (p. 298)


A resonant cavity perturbed by a change in the permittivity of permeability of the material in the cavity. (a) Original cavity. (b) Perturbed cavity.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.22 (p. 300)


A rectangular cavity perturbed by a thin dielectric slab.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.23 (p. 301)


A resonant cavity perturbed by a change in shape. (a) Original cavity. (b) Perturbed cavity.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

Figure 6.24 (p. 302)


A rectangular cavity perturbed by a tuning post in the center of the top wall.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright 2004 John Wiley & Sons

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