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Dielectric Resonators - Tecnun

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<strong>Dielectric</strong><br />

<strong>Resonators</strong><br />

Darko Kajfez and Pierre Guillon I editors<br />

Disk Included


Contents<br />

Chapter 1<br />

INTRODUCTION<br />

Chapter 2 MICROW AVE RESONATORS<br />

2.1 Introduction<br />

2.2 Q Factor<br />

2.3 Lumped Element Resonant Circuits<br />

2.4 Transmission Line <strong>Resonators</strong><br />

2.5 Cavity <strong>Resonators</strong><br />

2.6 Conductor and <strong>Dielectric</strong> Losses<br />

2.7 Incremental Rules<br />

2.8 Circuit Modeling of <strong>Resonators</strong><br />

2.9 Q Measurement Techniques<br />

Appendix 2.A Integrals of Bessel Functions<br />

References<br />

Chapter 3 DIELECTRIC ROD WAVEGUlDES<br />

3.1 Introduction<br />

3.2 Basic Equations<br />

3.3 Solutions of the Wave Equation in Cylindrical Coordinates<br />

3.4 The Eigenvalue Equation<br />

3.5 The modes of the Rod<br />

3.6 Power Considerations<br />

3.7 The Parallel-Plate <strong>Dielectric</strong> Resonator<br />

3.8 Measurement of the <strong>Dielectric</strong> Constant<br />

References<br />

Chapter 4 SIMPLE MODELS<br />

4.1 Introduction<br />

4.2 Notion of the Magnetic Conductor<br />

4.3 Circular Waveguides with Magnetic Walls<br />

4.4 The Cohn Model<br />

4.5 Perturbational Correction to the Cohn Model<br />

4.6 The Itoh and Rudokas Model<br />

4.7 Numerical Solution of the Pair of Transcendental<br />

Equations<br />

1<br />

9<br />

9<br />

10<br />

16<br />

21<br />

26<br />

43<br />

46<br />

49<br />

53<br />

61<br />

62<br />

65<br />

65<br />

67<br />

72<br />

74<br />

81<br />

95<br />

100<br />

105<br />

110 -<br />

113<br />

113<br />

114<br />

120<br />

126<br />

133<br />

144<br />

148


4.8 Variationallmprovement of the Itoh and Rudokas Model<br />

4.9 Mechanical Tuning of a DR Mounted on Microstrip<br />

Appendix 4.A Program DRESP<br />

Appendix 4.B Program DRESV2<br />

References<br />

Chapter 5 RIGOROUS ANAL YSIS METHODS<br />

5.1 Introduction<br />

5.2 Radial Mode Matching Method<br />

5.3 Axial Mode Matching and Other Methods<br />

5.4 Finite-Element and Finite-Difference Methods<br />

5.5 Perturbational Methods<br />

5.6 Green's Function - Integral Equation Methods<br />

5.7 Sample Numerical Results<br />

5.8 Assessment of Methods and Summary<br />

Appendix 5.A Derivation of the Eigenfunctions and Eigenvalues<br />

of the Operators D: and D~<br />

Appendix 5.B Solution of the Eigenvalue Equations<br />

References<br />

Chapter 6 INTEGRAL EQUATION TECHNIQUES<br />

6.1 Introduction<br />

6.2 Mathematical Model of an Isolated <strong>Dielectric</strong> Resonator<br />

6.3 Formulation of the Surface Integral Equations<br />

6.4 Numerical Solution of the Surface Integral Equations<br />

6.5 Computation of Resonant Frequency and Q Factor<br />

6.6 Numercial and Experimental Results<br />

6.7 Computation of Modal Surface Current Distributions<br />

6.8 Interpretation of Modal Surface Current Distributions<br />

6.9 Computation of Modal Field Distributions<br />

6.10 Interpretation and Use of Modal Field Distributions<br />

6.11 Other Resonator Shapes and Environments<br />

References<br />

Chapter 7 MATERIAL PROPERTIES<br />

7.1 Introduction<br />

7.2 Resonant Cavities Filled with Inhomogeneous Materials<br />

7.3 Measurement of Loss Tangent<br />

7.4 Linear Coefficients<br />

7.5 Covered DR on a Microstrip Substrate<br />

7.6 Measurement of Temperature Coefficients<br />

7.7 Temperature Stabilization of DR Oscillators<br />

Appendix 7.A Commercially Available Materials<br />

References<br />

154<br />

161<br />

165<br />

174<br />

161<br />

185<br />

185<br />

194<br />

210<br />

215<br />

220<br />

227<br />

228<br />

241<br />

245<br />

250<br />

254<br />

259<br />

259<br />

263<br />

268<br />

270<br />

275<br />

282<br />

286<br />

288<br />

294<br />

298<br />

318<br />

323<br />

327<br />

327<br />

330<br />

339<br />

345<br />

351<br />

357<br />

362<br />

371<br />

376


Chapter 8 COUPLING<br />

8.1 DR Mounted on Microstrip<br />

8.2 DR in a Waveguide below Cut off<br />

8.3 Loop Coupling<br />

8.4 DR in a <strong>Dielectric</strong> Image Guide<br />

8.5 DR on a Finline<br />

8.6 Mutual Coupling between Two DRs in a Waveguide<br />

below Cutoff<br />

8.7 Mutual Coupling between Two DRs via a Section of<br />

Microstrip Line<br />

8.8 Mutual Coupling between Two DRs through an Iris<br />

8.9 Dual Modes<br />

8.10 Other Configurations<br />

References<br />

Chapter 9 FIL TERS<br />

9.1 Introd uction<br />

9.2 Waveguide Below Cut-off Band-Pass DR Filter<br />

9.3 Microstrip Band-Pass DR Filter<br />

9.4 Waveguide Band-Stop DR Filter<br />

9.5 Microstrip Band-Stop DR Filter<br />

9.6 Other Band-Pass DR Filters<br />

9.7 Elliptic Band-Pass DR Filters<br />

9.8 Dual-Mode DR Filters<br />

9.9 Band-Pass DR Filter for Mobile Communications<br />

9.10 Spurious Responses<br />

References<br />

Chapter 10 OSCILLA TORS<br />

10.1 Introduction<br />

10.2 S-parameter Characterization of a Microstrip-Coupled<br />

<strong>Dielectric</strong> Resonator<br />

10.3 Three-port S-parameter Characterization of Transistors<br />

10.4 Oscillation and Stability Conditions<br />

10.5 Stabilized Transistor DRO Design<br />

10.6 Stable Transistor DRO Design<br />

10.7 Temperature Stability of DROs<br />

10.8 Tuning of Transistor DRO<br />

10.9 TDRO Measurements Using Network Analyzer<br />

Appendix 1O.A Conversion of two-port S-parameters to<br />

three-port S-parameters<br />

Appendix 1O.B Genera1ized Mapping Equations<br />

References<br />

379<br />

379<br />

390<br />

396<br />

400<br />

403<br />

406<br />

415<br />

418<br />

422<br />

424<br />

429<br />

431<br />

431<br />

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443<br />

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463<br />

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469<br />

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473<br />

473<br />

474<br />

481<br />

484<br />

490<br />

494<br />

507<br />

509<br />

513<br />

519<br />

521<br />

523

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