Photoelastic tomography for residual stress measurement in glass

Investigation of limitations of optical diffraction tomography

“…The only difference is that the integrated projection images of birefringence are measured using integrated photoelasticity [4,7]. In this case, the same errors appear due to object internal refraction and diffraction.…”

“…Similar measurement scheme is applied in the technique known as photoelastic tomography for determination of an object internal distribution of the birefringence [4,8]. The only difference is that the integrated projection images of birefringence are measured using integrated photoelasticity [4,7].…”

“…In the presented study we employ the standard ODT experimental configuration [2][3][4] shown in Fig. 1(b) where the object angular orientation relative to the incident plane wave is changed sequentially in the range from 0°to 360°.…”

Reconstruction algorithm for the linearized polarization tomography problem with incomplete data

“…That is to invert the TTRT from some subset of data. The method has been used successfully by Aben et al [3] to image one component of the stress tensor of an object from measurements of polarized light transmitted through the object while the object is rotated 180…”

“…If we interpret (1.2) in the distributional sense this is equivalent, where the support has a smooth boundary, with the assumption that the normal component vanishes at the boundary σN = 0 on ∂D where N is the unit normal. Under these assumptions a reconstruction algorithm was proposed by the second author [10], [11,Sec 2.16] and tested on simulated data, and a practical realization of a simple related algorithm was implemented by Aben et al [3] and applied to experimental data. These algorithms rely on data derived from rotation about one fixed axis defined by the unit vector η, that is data from rays orthogonal to η, and recover the η · ση component of the stress.…”