Reconstruction of anisotropic stiffness tensors using algebraic geometry
Maarten de Hoop1, Joonas Ilmavirta2, Matti Lassas3, Anthony Varilly-Alvarado1
1Rice University, United States of America; 2University of Jyväskylä, Finland; 3University of Helsinki
Stiffness tensors serve as a fingerprint of a material. We describe how to harness anisotropy, using standard tools from algebraic geometry (e.g., generic geometric integrality, upper-semicontinuity of some standard functions, and Gröbner bases) to uniquely reconstruct the stiffness tensor of a general anisotropic material from an analytically small neighborhood of its corresponding slowness surface.