Correcting Phase Shifts in THz-TDS (dummy blog)

January 20, 2026

HI , I am currently updating some parts of my webpage so here is a dummy blog post.

In Terahertz Time-Domain Spectroscopy (THz-TDS), substrate reflections often obscure the main signal. To resolve this, we utilize a modified Transfer Matrix Method (TMM).

The Mathematical Model

The electric field transmission $t(\omega)$ through a sample can be described as:

Where $\tilde{n}$ is the complex refractive index. Using scipy.optimize, we can fit the phase directly to extract conductivity.

Code Snippet

Here is how I implemented the phase correction in Python:

import numpy as np
def phase_correct(data, thickness):
    # Apply Hilbert transform for phase retrieval
    return np.angle(data)