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Terahertz time-domain spectroscopy

Terahertz time-domain spectroscopy is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Terahertz time-domain spectroscopy rather than just read about it. In short: In physics, terahertz time-domain spectroscopy (THz-TDS) is a form of terahertz spectroscopy using short pulses of terahertz radiation. The generation and detection scheme is sensitive to the sample's effect on both the amplitude and the phase of the terahertz radiation.

Terahertz time-domain spectroscopy — main illustration
Terahertz time-domain spectroscopy — illustration

Key takeaways

  • Terahertz time-domain spectroscopy belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Terahertz time-domain spectroscopy to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Terahertz time-domain spectroscopy from memory before moving on to harder problems.

Reference excerpt

In physics, terahertz time-domain spectroscopy (THz-TDS) is a form of terahertz spectroscopy using short pulses of terahertz radiation. The generation and detection scheme is sensitive to the sample's effect on both the amplitude and the phase of the terahertz radiation.

Explanation Typically, an ultrashort pulsed laser is used in the terahertz pulse generation process. In the use of low-temperature grown GaAs as an antenna, the ultrashort pulse creates charge carriers that are accelerated to create the terahertz pulse. In the use of non-linear crystals as a source, a high-intensity ultrashort pulse produces THz radiation from the crystal. A single terahertz pulse can contain frequency components covering much of the terahertz range, often from 0.05 to 4 THz, though the use of an air plasma can yield frequency components up to 40 THz. After THz pulse generation, the pulse is directed by optical techniques, focused through a sample, then measured. THz-TDS requires generation of an ultrafast (thus, large bandwidth) terahertz pulse from an even faster femtosecond optical pulse, typically from a Ti-sapphire laser. That optical pulse is first split to provide a probe pulse whose path length is adjusted using an optical delay line. The probe pulse strobes the detector that is sensitive to the electric field of the resulting terahertz signal at the time of the optical probe pulse sent to it. By varying the path length traversed by the probe pulse, the test signal is thereby measured as a function of time—the same principle as a sampling oscilloscope (technically, the measurement obtains the convolution of the test signal and the time-domain response of the strobed detector). To obtain the resulting frequency domain response using the Fourier transform, the measurement must cover each point in time (delay-line offset) of the resulting test pulse. The response of a test sample can be calibrated by dividing its spectrum so obtained by the spectrum of the terahertz pulse obtained with the sample removed, for instance.

Components Components of a typical THz-TDS instrument, as illustrated in the figure, include an infrared laser, optical beamsplitters, beam steering mirrors, delay stages, a terahertz generator, terahertz beam focusing and collimating optics like parabolic mirrors, and detector.

Ti:sapphire laser Constructing a THz-TDS experiment using low temperature grown GaAs (LT-GaAs) based antennas requires a laser whose photon energy exceeds the band gap of the material. Ti:sapphire lasers tuned to around 800 nm, matching the energy gap in LT-GaAs, are ideal as they can generate optical pulses as short as 10 fs. These lasers are available as commercial, turnkey systems.

Steering mirrors Silver-coated mirrors are optimum for use as steering mirrors for infrared pulses around 800 nm. Their reflectivity is higher than gold and much higher than aluminum at that wavelength.

Beamsplitters A beamsplitter is used to divide a single ultrashort optical pulse into two separate beams. A 50/50 beamsplitter is often used, supplying equal optical power to the terahertz generator and detector, though it is common to provide the terahertz generation path with more power given the inefficiency of the terahertz generation process compared to the detection efficiency of infrared (typically 800 nm wavelength) light.

Delay stage An optical delay-line is implemented using a movable stage to vary the path length of one of the two beam paths. A delay stage uses a moving retroreflector to redirect the beam along a well-defined output path but following a delay. Movement of the stage holding the retroreflector corresponds to an adjustment of path length and consequently the time at which the terahertz detector is gated relative to the source terahertz pulse.

Purge box A purge box is typically used so that absorption of THz radiation by gaseous water molecules is minimized. A dry air source is often used for this purpose, however, a nitrogen gas source may also be used. Water is known to have many discrete absorptions in the THz region that are rotational modes of water molecules. Alternatively, nitrogen, as a diatomic molecule, has no electric dipole moment, and does not (for the purposes of typical THz-TDS) absorb THz radiation. Thus, a purge box may be filled with nitrogen gas so no unintended discrete absorptions in the THz frequency range occur.

Parabolic mirrors Off-axis parabolic mirrors are commonly used to collimate and focus THz radiation. Radiation from an effective point source, such as from a low-temperature gallium arsenide (LT-GaAs) antenna (active region ~5 μm) incident on an off-axis parabolic mirror becomes collimated, while collimated radiation incident on a parabolic mirror is focused to a point (see diagram). Terahertz radiation can thus be manipulated spatially using optical components such as metal-coated mirrors as well as lenses made from materials that are transparent at THz wavelengths. Samples for spectroscopy are commonly placed at a focus where the terahertz beam is most concentrated.

Uses of THz radiation THz radiation has several distinct advantages for use in spectroscopy. Many materials are transparent at terahertz wavelengths, and this radiation is safe for biological tissue being non-ionizing (as opposed to X-rays). Many interesting materials have unique spectral fingerprints in the terahertz range that may be used for identification. Demonstrated examples include several different types of explosives, dynamic fingerprinting of DNA and protein molecules using polarization varying anisotropic terahertz microspectroscopy, polymorphic forms of many compounds used as active pharmaceutical ingredients (API) in commercial medications as well as several illegal narcotic substances. Since many materials are transparent to THz radiation, underlying materials can be accessed through visually opaque intervening layers. Though not strictly a spectroscopic technique, the ultrashort width of THz radiation pulses allows for measurements (e.g., thickness, density, defect location) on difficult-to-probe materials like foam. These measurement capabilities share many similarities to those of pulsed ultrasonic systems as the depth of buried structures can be inferred through timing of their reflections of these short terahertz pulses.

… excerpt ends here. Continue reading the full article.

Illustrations

Terahertz time-domain spectroscopy: Typical pulse as measured with THz-TDS.
Typical pulse as measured with THz-TDS.
Terahertz time-domain spectroscopy: Fourier transform of the above pulse.
Fourier transform of the above pulse.
Terahertz time-domain spectroscopy: A typical THz time domain spectroscopy (THz-TDS) system. Half waveplate (HWP), polarizing beamsplitter (PBS), steering mirrors (M#), photoconductive antenna, parabolic mirrors (PM#), quarter waveplate (QWP).
A typical THz time domain spectroscopy (THz-TDS) system. Half waveplate (HWP), polarizing beamsplitter (PBS), steering mirrors (M#), photoconductive antenna, parabolic mirrors (PM#), quarter waveplate (QWP).
Terahertz time-domain spectroscopy: A parabolic mirror is shown with important focal lengths and several exemplary rays.
A parabolic mirror is shown with important focal lengths and several exemplary rays.

Worked examples

Example 1 — a first encounter with Terahertz time-domain spectroscopy

Start with the simplest possible case. Write down what Terahertz time-domain spectroscopy claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Terahertz time-domain spectroscopy before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Terahertz time-domain spectroscopy ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Terahertz time-domain spectroscopy

In research
Terahertz time-domain spectroscopy appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Terahertz time-domain spectroscopy in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Terahertz time-domain spectroscopy is common in secondary-school and first-year university syllabi. It links to neighbouring topics Explosive detection, Spectroscopy, Terahertz technology, so understanding it makes those chapters shorter.
In everyday life
Look for Terahertz time-domain spectroscopy outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Terahertz time-domain spectroscopy in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Terahertz time-domain spectroscopy means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Terahertz time-domain spectroscopy out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Terahertz time-domain spectroscopy in simple terms?

In physics, terahertz time-domain spectroscopy (THz-TDS) is a form of terahertz spectroscopy using short pulses of terahertz radiation. The generation and detection scheme is sensitive to the sample's effect on both the amplitude and the phase of the terahertz radiation.

Why does Terahertz time-domain spectroscopy matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Terahertz time-domain spectroscopy?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Terahertz time-domain spectroscopy.

Tags

  • Explosive detection
  • Spectroscopy
  • Terahertz technology

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