Nonlinearity Response of HighTc Superconductors

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Nonlinearity Response of High-Tc Superconductors

• Advisor Edmond Wong
• Group 8 Members Samir Castillo
• Charles H.Y. Cheung
• Daniel Commins

Sponsor
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Agenda

• Gantt Chart
• Tasks Accomplished
• Dahm Scalapino Model
• Approximations in numeric model
• MATLAB results
• Summary and Future Plans

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Gantt Chart
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Tasks Accomplished

• Dahm Scalapino Theory roughly modeled
• Analyzed concise model complications
  encountered
• Set meeting time with Edmond (next week)!!!
• Documentation

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Approximations
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Characteristic Power
Dimensionless ratio of kinetic to non-linear
inductance
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jx surface integral

• Integral of jx4
• (Integral of jx)4

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Nonlinear Inductance Coefficient

• Approximations made on jx4 are not specified
  on paper
• Indicates that a concise model cannot be used
• In Appendix B, geometric relation is used to
  describe proportionality, but ignores nonlinear
  term!

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Nonlinear Coefficient
Modeling Results
Dahms Model
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Intermodulation Power
Intermodulation Power at different temperatures
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Summary and Future Plans

• Summary
• Intermodulation power (Dahm Scalapino) modeled
  in MATLAB
• Issues with parameters in Agassi Oates theory
• Next Week
• Meeting with mentor to discuss progress and
  issues in our model
• Evaluate accuracy of model order effects of
  approximation