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An example of a conformal map w(z) (26) that transforms a straight boundary into a curved one with a bulge.

An example of a conformal map w(z) (26) that transforms a straight boundary into a curved one with a bulge.

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FIG. 3. An example of a conformal map w(z) (26) that transforms a...
Conformal maps and edge mode attenuation on imperfect boundaries
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  • Dec 2024
We developed a conformal map technique to analyze the attenuation of edge modes propagating along imperfect boundaries. In systems where the potential energy exhibits conformal invariance, the conformal transformation can straighten the boundary, simplifying the boundary conditions. Using the example of edge modes in a simple field-theoretical mode...
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... analyze this quantitatively, we modeled the corner as a bulge on the boundary, avoiding issues related to the Jacobian divergences in the complex plane. Let us consider an example of a bulge defined by the conformal map ( Fig. ...

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