# Quantitative OCT reconstructions for dispersive media

## TL;DR

This paper develops a method for reconstructing the optical properties of dispersive media using OCT data, addressing phase retrieval and parameter identification in layered, inhomogeneous media.

## Contribution

It introduces an iterative algorithm for frequency-dependent parameter reconstruction in dispersive media, including phase retrieval and absorption considerations.

## Key findings

- Effective reconstruction of dispersive media properties from OCT data.
- Algorithm handles phase retrieval and absorption effects.
- Applicable to layered inhomogeneous media.

## Abstract

We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piece-wise inhomogeneous refractive index. The measurement data are from a frequency-domain OCT system and we address also the phase retrieval problem. The parameter identification problem can be formulated as an one-dimensional inverse problem. Initially, we deal with a non-dispersive medium and we derive an iterative scheme that is the core of the algorithm for the frequency-dependent parameter. The case of absorbing medium is also addressed.