Maximum-likelihood parameter estimation in terahertz time-domain spectroscopy

Abstract

We present a maximum-likelihood method for parameter estimation in terahertz time-domain spectroscopy. We derive the likelihood function for a parameterized frequency response function, given a pair of time-domain waveforms with known time-dependent noise amplitudes. The method provides parameter estimates that are superior to other commonly-used methods, and provides a reliable measure of the goodness of fit. We also develop a simple noise model that is parameterized by three dominant sources, and derive the likelihood function for their amplitudes in terms of a set of repeated waveform measurements. We demonstrate the method with applications to material characterization.

arXiv comment15 pages, 6 figures; minor formatting updates

References in corpus (4)

• Optimisation of sample thickness for THz-TDS measurements
• THz-TDS time-trace analysis for the extraction of material and metamaterial parameters
• Stratified dispersive model for material characterization using terahertz time-domain spectroscopy
• On the Influence of Delay Line Uncertainty in THz Time-Domain Spectroscopy

Cited by in corpus (3)

• Advanced Data Processing of THz-Time Domain Spectroscopy Data with Sinusoidally Moving Delay Lines
• Photoconductive receivers at 1030 nm for high average power pulsed THz detection
• Laser-driven few-cycle Terahertz sources with high average power