Terahertz spectroscopy analyzes materials using electromagnetic waves in the terahertz range.Terahertz spectroscopy uses electromagnetic waves in the frequency range between microwaves and infrared light (roughly 0.1 to 10 THz) to probe materials. This region of the spectrum is sensitive to molecular vibrations, lattice dynamics, and charge carrier behavior, making it invaluable for studying semiconductors, pharmaceuticals, and even biological tissues. Because terahertz waves can penetrate many non-conducting materials, the technique offers a non-destructive way to inspect objects and characterize their internal structure.
Terahertz radiation was first explored in the 1890s, but practical spectroscopy only became possible with the development of femtosecond lasers in the 1980s, which enabled the generation of coherent terahertz pulses.
A terahertz spectrometer typically generates short pulses of terahertz radiation, sends them through a sample, and measures how the sample absorbs or modifies the pulse. By analyzing the time-domain waveform, researchers can extract the material's complex refractive index and absorption coefficient across a broad frequency range. Recent advances have also enabled compact, high-resolution spectrometers using frequency combs or nonlinear crystals, which can measure polarization and other properties with high precision.
Terahertz spectroscopy is used in airport security scanners, quality control in pharmaceutical manufacturing, and research on high-temperature superconductors and topological materials.
Terahertz waves can pass through paper, plastic, and clothing, but are strongly absorbed by water, which makes them ideal for detecting moisture content in materials without damaging them.
| \Delta\lambda | variable | Line broadening (full width at half maximum) — line width metre |
| \lambda | variable | Central wavelength of the spectral line — wavelength metre |
| T | variable | Temperature of the emitting/absorbing gas — temperature kelvin |
| m | variable | Mass of the emitting/absorbing particle — mass kilogram |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| k_B | constant | Relates thermal energy to temperature — boltzmann constant = 1.380649e-23 joule per kelvin |
| \sqrt{} | operator | Takes the square root of the argument — square root |
| I | variable | Intensity of emitted radiation — intensity watt per metre squared |
| N | variable | Number of emitting particles — particle number |













