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(a), (b) Effective constitutive parameters at the design angular frequency ω = ω0. Red-dashed curves represent the optimized blueprints, obtained from equations (4) and (6), with , , and β0 = 0.46k0. Blue-solid curves pertain to the nonlocal effective model of the synthesized multilayered metamaterial [four-layer unit cell shown in the inset of panel (b)] with ε1 = 7.089, given in equation (9) (with ε2 = −1.104 and κ2 = 0.0365), ε3 = 3.35, ε4 = −1.957, d1 = 0.252λ0, d2 = 0.0815λ0, d3 = 0.102λ0, d4 = 0.0648λ0. The parameter matching is enforced at kx = 0 and within the (yellow-shaded) range 0.9β0 ≤ kz ≤ 1.1β0.
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