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Flattened Lens based on quasi-conformal mapping

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I want to obtain the 2D flattened lens similar to the following link. I applied the boundary conditions, but the obtained meshes are not orthogonal. Is there someone know about it? Thanks.

https://www.comsol.com/paper/3d-modeling-of-transformation-optics-based-flattened-luneburg-lens-using-the-com-63462


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