  Fundamental bounds on quadratic electromagnetic metrics are formulated and
solved via convex optimization. Both dual formulation and method-of-moments
formulation of the electric field integral equation are used as key
ingredients. The trade-off between metrics is formulated as a multi-objective
optimization resulting in Pareto-optimal sets. Substructure fundamental bounds
are also introduced and formulated as additional affine constraints. The
general methodology is demonstrated on a few examples of minimal complexity and
all examples are supported with freely available MATLAB codes contained in the
developed package on fundamental bounds.
