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iii I. STATEMENT OF PROBLEM 1 n. LITERATURE OVERVIEW 3 n.A. Materials 3 n.B. Applications 14 m. THEORY 18 ni.A. Experimental Models 18 ni.B. Microwave Superconductor Theory 20 in.C. Mason Model Theory 22 m.D. Transmission Line Analysis 24 in.D.l. Equivalent Inductance 27 in.D.2. Resistance at the Interface 34 ni.D.3. Mason Model Analysis 36 in.D.4. Theoretical Results 41 IV. EXPERIMENTAL METHOD 49 IV.A. Experimental Design 49 IV.B. Substrate Selection 57 IV.C. Buffer Layer Selection 59 IV.D. Laser Ablation 60 V. RESULTS 62 VI. CONCLUSIONS 76 VI. A. Significant Contributions 77 VLB. Future Work 78 BIBLIOGRAPHY 80 ACKNOWLEDGMENTS 89 APPENDIX A: PUBLICATIONS 90 APPENDIX B: SOL-GEL PROCESSING 103 APPENDIX C: GRAVIMETRIC ANALYSIS 109 APPENDDC D: ALUMINUM NITRIDE PROCESSING Ill APPENDIX E: PROGRAMS 113

Increasing the efficiency of a piezoelectric aluminum nitride microstrip resonator by utilizing high temperature superconductors