Principle | Terahertz (THz) sensors

Development of THz detector using a metasurface

Photomultiplier tubes (PMT) and image intensifiers (I.I.) use a photoelectric surface based on the principle of the photoelectric effect.

However, unlike light waves, THz waves have low photon energy, making it difficult to directly induce a photoelectric effect.

We have therefore developed a metasurface that converts THz waves into electrons. Here, we introduce the concept of a metasurface and the principle of THz wave-to-electron conversion.

What is a metasurface?

A metasurface is an artificially designed surface structure with microstructures that is used in a variety of applied technologies. It is called a metasurface because it is a surface with periodic microstructures (meta) arranged on it.

Hamamatsu Photonics applies this metasurface to THz detection. Therefore, a metasurface here refers to a THz wave-to-electron conversion element.

A metasurface consists of an array of gold antenna patterns on a substrate such as quartz or silicon, and when a THz wave is incident, electrons are emitted according to the principle of field electron emission. These electrons are amplified and output to detect THz waves.

Image of field electron emission

Enlarged image of metasurface microstructure

Principle of field electron emission

 

THz wave-to-electron conversion uses the principle of field electron emission. Here, we introduce the principle of electron emission with a metasurface and THz wave electric fields, in comparison with the photoelectric conversion used in ordinary photomultiplier tubes.

Field electron emission with metasurfaces is known as a highly non-linear phenomenon that depends on the electric field intensity.

 

In addition, through research, it has been found that coating with an alkali metal reduces the work function of the antenna metal (gold) surface, enhancing the sensitivity to THz wave electric fields. Taking advantage of this property, Hamamatsu Photonics’ metasurfaces are coated with alkali metals on the surface of the antenna to increase sensitivity.

The antenna design also allows the frequency band in which THz waves resonate with the antenna to be freely designed, making it possible to support a wide range of bands from the sub-THz region to the mid-infrared region.

Field electron emission by a metasurface (THz photomultiplier tube)

Band model of a metasurface

In electron emission using metasurfaces, the electric field of the THz waves is amplified by the antenna and concentrated on the emitter.

A high electric field is concentrated on the emitter. The high electric field generated by the THz waves tilts the vacuum level on the gold antenna surface, causing the electrons at the Fermi level of the gold to tunnel into the vacuum side. This is the phenomenon known as field electron emission.

The electrons emitted by field electron emission move through the vacuum according to the surrounding electric field.

THz PMT principle

1. THz waves are incident on the antenna and the electric field is concentrated.

THz PMT principle

2. The high electric field tilts the vacuum level on the gold antenna surface.

THz PMT principle

3. Electrons at the Fermi level of the gold are tunneled into the vacuum side.

Photoelectric effect by an alkali photocathode (an ordinary photomultiplier tube)

Band model of a photocathode

Semiconductors have an “energy gap,” which is the width of the forbidden band where electrons cannot exist, an “electron affinity,” which is the distance between the conduction band and the vacuum level, and a “work function,” which is the energy difference between the Fermi level and the vacuum level.

When photons are incident on a photocathode, electrons in the valence band absorb the photon energy, are excited, and diffuse to the surface. The diffused electrons exceed the vacuum level and are emitted into the vacuum as photoelectrons.

THz PMT principle

1. Photons are incident on the photocathode and electrons in the valence band are excited.

THz PMT principle

2. The excited photoelectrons are diffused to the surface.

THz PMT principle

3. The photoelectrons that exceed the vacuum level are emitted into the vacuum.

Non-linear output from field electron emission

The principle of field electron emission follows the Fowler-Nordheim relation formula.

Here, a and b are the FN constants, F is the work function, β is the electric field concentration factor, and E is the THz wave electric field intensity. The amount of electron emission is determined by the electric field intensity E of the THz wave. Therefore, a metasurface using this principle may be able to directly measure the THz wave electric field intensity.

 

In addition, as the relationship between the amount of electron emission and the electric field intensity E is highly non-linear, the amount of electron emission changes significantly with a slight change in the electric field intensity. As shown in the graph, the non-linear response characteristics can be clearly seen when compared with a linear device. This non-linear response characteristic can be applied to micro-change measurements.

Fowler-Nordheim relation formula

THz PMT principle

Comparison of response characteristics

THz PMT feature

Related papers

Classification Title Author Link
Basic principle Lightwave-Driven Long-Wavelength Photomultipliers Simon J. Lange, et al., https://doi.org/10.1002/lpor.202470002
Application IEEE Transactions on Terahertz Science and Technology T. O. Buchmann et al., https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5503871 
Application Fourier-transform THz spectroscopy based on electric-field interferometry using THz-PMT H. Takahashi et al., https://opg.optica.org/oe/fulltext.cfm?uri=oe-32-7-12774&id=548237

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