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Fabrication and Characterization of Superconducting Resonators

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Matrix methods for bare resonator eigenvalue analysis.

W P Latham, G C Dente

|March 12, 2010

Summary

This summary is machine-generated.

This study introduces a new theoretical framework for analyzing bare resonator eigenvalues. New methods are presented and compared to the established Prony method for improved accuracy.

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Area of Science:

Electromagnetics and Optics
Photonics and Lasers

Background:

Traditional bare resonator eigenvalue calculations rely on Fox and Li iterative techniques or Siegman and Miller's Prony method.
These methods have limitations in accuracy and applicability for complex resonator systems.

Purpose of the Study:

To present a novel theoretical framework for bare resonator eigenvalue analysis.
To introduce and evaluate new computational methods for eigenvalue determination.
To compare the performance of these new methods against the established Prony method.

Main Methods:

Development of a new theoretical framework for eigenvalue analysis.
Implementation and testing of several novel computational algorithms.
Comparative analysis of new methods versus the Prony method using benchmark cases.

Main Results:

The proposed theoretical framework provides a robust basis for eigenvalue analysis.
New methods demonstrate competitive or superior performance compared to the Prony method in specific scenarios.
Identified advantages of new methods in terms of accuracy and computational efficiency.

Conclusions:

The presented theoretical framework and new methods offer valuable alternatives for bare resonator eigenvalue analysis.
Further research can explore the application of these methods to more complex optical and photonic systems.
This work advances the computational tools available for resonator design and analysis.