Extracting an accurate model for permittivity from experimental data: hunting complex poles from the real line
We present a general method for fitting material permittivity from experimental data using minimal parameters. This unique approach works across various materials and frequencies, offering high accuracy compared to existing methods.
Area of Science:
- Physics
- Materials Science
- Electrical Engineering
Background:
- Accurate modeling of material permittivity is crucial for designing electromagnetic devices.
- Existing methods for permittivity fitting often lack generality or require numerous parameters.
- Developing a universally applicable and parsimonious fitting procedure remains a challenge.
Purpose of the Study:
- To introduce a novel, highly general procedure for fitting the permittivity of materials.
- To demonstrate the method's independence from specific material types and frequency ranges.
- To validate the fitting accuracy against established literature expressions.
Main Methods:
- A general fitting procedure is developed for causal permittivity.
- The method utilizes a minimal set of parameters.
- Numerical examples are provided to illustrate the procedure's application.
Main Results:
- The proposed procedure successfully fits permittivity data for diverse materials.
- The fitting approach demonstrates independence from material type and frequency range.
- Accuracy of the causal fit is validated and compared favorably with existing literature.
Conclusions:
- The developed procedure offers a unique and broadly applicable method for permittivity fitting.
- This approach simplifies the analysis of experimental dielectric data.
- The method has significant potential for applications in materials characterization and device design.
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