Patent ID: 7894137

Claim:
An antireflective coating comprising at least one layer of a first material with a first index of refraction and a first thickness, the first index of refraction and first thickness substantially conforming to at least a portion of a refractive index profile matching a reflectionless potential; wherein the refractive index profile n(z) is represented by the equation: n 2 ⁡ ( z ) = n s 2 + 2 k s 2 ⁢ ⅆ 2 ⅆ z 2 ⁡ [ log ⁡ ( D ) ] ; wherein n s is the refractive index of the medium, k 0 is the free space wave vector, and D is the determinant of a set of coefficients of simultaneous linear equations given by ∑ j = 1 N ⁢ M ij ⁢ f j ⁡ ( z ) = - A i ⁢ ⅇ κ i ⁢ z , M ij = δ ij + A i ⁢ ⅇ ( κ i + κ j ) ⁢ z ( κ i + κ j ) , i = 1 ⁢ ⁢ … ⁢ ⁢ N , wherein A 1 . . . A N and κ 1 . . . κ N are free parameters, f j (z) is the Sturm-Liouville Eigenfunction, and δ is the Kronecker delta symbol.