Graeme Milton, a mathematician from the University of Utah, has created a brand new solution for analytical solutions. His cutting-edge tool shows how energy waves move through different complex materials. Unlike homogeneous materials, inhomogeneous materials are more difficult to describe mathematically because its physics changes are dependent upon where one is in the material.
Mathematicians offer solutions to analytical problems.
Milton’s solution for the complicated materials, the aforementioned analytical solutions, contains advanced quadratic and trigonometric solutions. It also includes the previously used math tool sets already use to determine inhomogeneous materials. These various properties can be mixed into megamaterials which channels energy waves however the researcher wants.
Scientists have long known that the pattern of atoms in a material affects how waves of energy are affected by the material. For example, crystals exhibit various colors because of elements in their atomic structure that absorb certain wavelengths of light and let others pass through.
Laura Lurns · Learning Success expert
Key takeaways
- University of Utah mathematician Graeme Milton presents a new tool for understanding how energy waves move through complex materials, opening up possibilities to design materials that absorb or bend energy as desired.
- Milton uses analytic functions to solve for these complicated materials.
- Milton’s work opens up a large class of materials to analysis as scientists explore the possibilities of what analytical materials can do.
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