Theory and computation towards coherent reflection imaging of tilted objects

Optical Transforms Related to Coherent Imaging of Inclined Objects

“…These features do not appear for general formula (11). The dimensionless parameter responsible for transition from (11) to (13) is Φ = 2λ cos θ a sin 2 θ (a is the object feature size), introduced earlier in [11]. So for Φ 1, that means normally illuminated object, θ ≈ π/2, and wavelength λ = 2π/k small as compared to the feature size a, we arrive from general wave optics expression (11) to formula (13) representing the wave field which is characteristic for paraxial geometrical optics.…”

“…However the similarity between an object and image does not necessarily occur. Even in the ideal case their field distributions are related by the general transform (11), which provides reproduction of the object only for Φ 1.…”

“…and Φ = 2ν cos θ k sin 2 θ is the same parameter mentioned in the end of the previous section and introduced in [11]. Formulas (15)-(17) can be used to find the divergence of the beam diffracted by a tilted object: where λ = 2π/k is the wavelength and a = 2π/ν-the feature size in the object plane.…”

“…for slowly varying wave field u(x, z) = e −ikz E(x, z) is given in [10][11][12][13]. In the present paper we extend this approach to imaging of inclined objects with an ideal lens.…”

“…These features do not appear for general formula (11). The dimensionless parameter responsible for transition from (11) to (13) is Φ = 2λ cos θ a sin 2 θ (a is the object feature size), introduced earlier in [11].…”