An algorithm for the simulation of image formation in Fourier domain optical coherence tomography (OCT) for an infinitely long cylinder is presented. The analytical solution of Maxwell’s equations for light scattering by a single cylinder is employed for the case of perpendicular incidence to calculate OCT images. The A-scans and the time-resolved scattered intensities are compared to geometrical optics results calculated with a ray tracing approach. The reflection peaks, including the whispering gallery modes, are identified. Additionally, the Debye series expansion is employed to identify single peaks in the OCT A-scans. Furthermore, a Gaussian beam is implemented in order to simulate lateral scanning over the cylinder for two-dimensional B-scans. The fields are integrated over a certain angular range to simulate a detection aperture. In addition, the solution for light scattering by layered cylinders is employed and the various layers are identified in the resulting OCT image. Overall, the simulations in this work show that OCT images do not always display the real surface of investigated samples.
An algorithm for the numerical solution of the inhomogeneous Maxwell's equations is presented. The algorithm solves the inhomogeneous vector wave equation of the electric field by writing the solution as a convergent Born series. Compared to two dimensional finite difference time domain calculations, solutions showing the same accuracy can be calculated more than three orders of magnitude faster.
An algorithm for the simulation of two-dimensional spectral domain optical coherence tomography images based on Maxwell’s equations is presented. A recently developed and modified time-harmonic numerical solution of Maxwell’s equations is used to obtain scattered far fields for many wave numbers contained in the calculated spectrum. The interferometer setup with its lenses is included rigorously with Fresnel integrals and the Debye-Wolf integral. The implemented model is validated with an existing FDTD algorithm by comparing simulated tomograms of single and multiple cylindrical scatterers for perpendicular and parallel polarisation of the incident light. Tomograms are presented for different realisations of multiple cylindrical scatterers. Furthermore, simulated tomograms of a ziggurat-shaped scatterer and of dentin slabs, with varying scatterer concentrations, are investigated. It is shown that the tomograms do not represent the physical structures present within the sample.
In this work, we investigate image formation in the confocal laser scanning microscope for different single scatterers, both theoretically and experimentally. For spherical scatterers, an effective and fast algorithm was implemented to calculate the confocal image for different diameters and wavelengths. Measurements on a polystyrene sphere (PS) with a diameter of 20 µm confirmed the expected effects, for example, the appearance of a central signal similar to the point spread function of the optical system. Custom single scatterers were produced using 3D-direct laser writing (DLW), including a sphere with dimensions comparable to the aforementioned PS sphere. Despite an inevitably lower surface quality and symmetry, only minor differences were observed in the confocal image of the 3D-DLW sphere compared to a near-perfect PS sphere. Having verified the experimental images of spheres with the computed theoretical data, confocal measurements of four platonic bodies produced by 3D-DLW were measured with the goal to contribute to the understanding of image formation involving more complex scattering geometries.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.