SCATTERING TOMOGRAPHY METHOD AND SCATTERING TOMOGRAPHY DEVICE

摘要

A scattering tomography method includes: radiating waves to an object from transmitting antenna elements arranged on a curved surface; receiving scattered waves by receiving antenna elements arranged on the curved surface; and reconstructing an image relating to the information on the interior of the object from scattered wave data representing the scattered waves received by the receiving antenna elements, and in the reconstructing, a function Φ for reconstructing the image relating to the information on the interior of the object is set in advance, an equation which a fundamental scattered function satisfies is constructed, a visualization function ρ that is obtained by solving the equation is derived from the scattered wave data, and the image relating to the information on the interior of the object is reconstructed using the visualization function.

主权项

1. A scattering tomography method for analyzing scattered waves of waves radiated to an object, the scattering tomography method comprising:
radiating the waves to the object from a plurality of transmitting antenna elements arranged on a curved surface; receiving the scattered waves by a plurality of receiving antenna elements arranged on the curved surface; and reconstructing an image relating to information on an interior of the object using, as a boundary condition, scattered wave data representing the scattered waves received by the receiving antenna elements, wherein in the reconstructing: a function φ for reconstructing the image relating to the information on the interior of the object is set in advance, the function φ being defined in Expression A; an equation which the function φ satisfies is constructed, the equation being defined in Expression B; a visualization function ρ that is obtained by solving the equation is derived from the scattered wave data, the visualization function ρ being defined in Expression C, the scattered wave data being obtained by measurement; and the image relating to the information on the interior of the object is reconstructed using the visualization function ρ,[Math.63]φ(x,y1,y2,z1,z2,ω)=∫∫Dkρ1ρ1kρ2ρ2ɛ(ξ,η,ζ)ξηζρ1=(x-ξ)2+(y1-η)2+(z1-ζ)2ρ2=(x-ξ)2+(y2-η)2+(z2-ζ)2ExpressionA[Math.64][14Δ52-1c2∂t2∂x2-(∂y12+∂z12)(∂y22+∂z22)]φ=0ExpressionB[Math.65]ρ(r)=Limt→0[12π∫-∞∞φ(x,y,z,z,k)-cktk]ExpressionC where in Expression A to Expression C: x, y1, y2, z1, and z2 are each a coordinate on an arbitrary curve; ξ, η, and ζ are an x-coordinate, a y-coordinate, and a z-coordinate, respectively, of an arbitrary scattering point within a region; c is a speed of propagation; k is wave number; and ω=ck.