Maximum-likelihood parameter estimation in terahertz time-domain spectroscopy
| Autor: | Derek G. Sahota, Payam Mousavi, Paul Westlund, Graham B. Lea, Ian Bushfield, J. Steven Dodge, Laleh Mohtashemi |
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| Rok vydání: | 2021 |
| Předmět: |
Frequency response
FOS: Physical sciences 02 engineering and technology 01 natural sciences 010309 optics symbols.namesake Optics Goodness of fit 0103 physical sciences Mathematics business.industry Estimation theory Spectral density 021001 nanoscience & nanotechnology Atomic and Molecular Physics and Optics Terahertz spectroscopy and technology Noise Fourier transform Physics - Data Analysis Statistics and Probability symbols 0210 nano-technology business Likelihood function Algorithm Data Analysis Statistics and Probability (physics.data-an) Physics - Optics Optics (physics.optics) |
| Zdroj: | Optics express. 29(4) |
| ISSN: | 1094-4087 |
| Popis: | 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. Comment: 15 pages, 6 figures; minor formatting updates |
| Databáze: | OpenAIRE |
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