- Title
- Finding the effective magnetic permeability tensor of composite materials: Beyond the small-filling-fraction limit
- Creator
- Camley, Robert E.; Carpenter, Anna L.; Livesey, Karen L.
- Relation
- Physical Review Applied Vol. 20, Issue 4, no. 044029
- Publisher Link
- http://dx.doi.org/10.1103/physrevapplied.20.044029
- Publisher
- American Physical Society (APS)
- Resource Type
- journal article
- Date
- 2023
- Description
- We develop a computational method, based on Gauss’s law, for calculating the effective permeability tensor of materials with magnetic inclusions. Electromagnetic composites find application in a variety of modern technologies since they have properties that are different from their constituent materials. However, many effective medium calculations for the permittivity or permeability tensor detailed over the past 120 years have issues with a limited range of applicability or with ignoring the coupling between different components of the tensor. Here, a computational approach is developed for calculating the effective tensor permeability of a composite material, which eliminates these issues. We show its validity by comparing to analytic results in the relevant limits, namely composites comprised of thin films and regular inclusions of low filling fraction. Examples of irregularly shaped magnetic inclusions and materials with high magnetic filling fractions are then presented for which analytic effective medium methods cannot make predictions.
- Subject
- magnetic domains; tensor; composite material; filling
- Identifier
- http://hdl.handle.net/1959.13/1497440
- Identifier
- uon:54350
- Identifier
- ISSN:2331-7019
- Language
- eng
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