# Influence of Substrate Material on Radiation Characteristics of THz Photoconductive Emitters

Authors: Jens Klier; Garik Torosyan; Nina Susan Schreiner; Daniel Molter; Frank Ellrich; Wissem Zouaghi; Emilien Peytavit; Jean-François Lampin; René Beigang; Joachim Jonuscheit; Georg von Freymann
Journal: International Journal of Antennas and Propagation
 (2015)

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## Abstract

We present in this paper spectral and spatial characteristics of terahertz emission from standard dipole antenna structures used as emitters depending on the substrate material. All antenna structures were lithographically fabricated on low-temperature (LT) grown, few-micrometers-thick gallium arsenide (GaAs) layers. To investigate the effect of the substrate material on the radiation pattern of terahertz beams, either semi-insulating gallium arsenide or high-resistivity silicon substrate wafers have been used. As detector a standard 40µm long dipole antenna on a semi-insulating GaAs substrate with a low-temperature grown gallium arsenide layer on it has been employed; this configuration allows for broadband detection and is still efficient enough for the characterization purpose. Strong dependence of the radiation pattern on the substrate used for the terahertz source is demonstrated. The measured patterns and differences between the two cases of substrates are well explained by means of classical diffraction.


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## Body

## 1. Introduction

In the electromagnetic spectrum, the region between roughly 1011 Hz and 1013 Hz is referred to as the terahertz (THz) region: 1 THz = 1012 Hz. Due to the low photon energy, such invisible radiation is harmless to the human body, to biomolecules, to food, and to pharmaceutics [1, 2]. Corresponding techniques are being developed and used in applications such as civil security [3, 4] or quality and process control [5, 6]. With the development of femtosecond lasers in the 1980s, THz research has become more intense thanks to the development of a new emission and detection method—the photoconductive switch [7–11]. The operation principle of the photoconductive switch used as an antenna for THz radiation is the following: Two symmetric strip lines are arranged on a semiconducting substrate with the symmetrically positioned dipole having a 5 μm long gap in the center (see Figure 1). In the case of the emitter antenna these are supplied with a DC bias voltage source (Ub), which leads to an electric bias field between them. Irradiating the antenna with a femtosecond (fs) laser pulse focused on the dipole gap, the substrate gets temporarily conductive. The generated short lifetime carriers will be accelerated through the bias voltage giving rise to a current transient of subpicosecond duration flowing through the antenna. The shape and the duration of this transient depend on the laser pulse itself and the semiconductor’s physical properties, that is, the lifetime of the generated free charge carriers. According to Maxwell’s theory the current transient induces a pulsed electromagnetic wave of corresponding duration to be emitted into the free space. In this particular case it is the THz pulse through which all the spectroscopic measurements are performed. In a typical case the lifetime lies below 500 fs; hence, the antenna is inactive until the next laser pulse arrives after typical 10 ns time, and everything is replayed in the same way with every next laser pulse. A similar but not biased antenna may operate inversely as a detector, to detect and measure freely travelling THz waves. Instead of applying a DC voltage, the antenna in this case is connected to the input of a nanoampere meter.Figure 1
Operation principle of photoconductive antennas. The laser beam is focused on the dipole gap, the dipole gap, generating electron-hole pairs, and the transient current conditioned by the applied voltageUb emits an electromagnetic pulse of subpicosecond duration—the THz pulse—into the free space. The emitted wavelengths are much longer compared to the size of their source, the dipole; hence, they diffract strongly in the form of a wide cone filling out almost the whole solid angle behind the antenna (dark grey area marked THz).The latter is used for measuring the short electric current transient induced by the THz pulse that covers the antenna dipole if it is correspondingly aligned. Due to the very weak signals the response of the antenna to the THz electric field is linear and the temporal form of the measured current amplitude repeats that of the electric field of the THz pulse. To make the operation of the antennas efficient a silicon lens is glued or pressed on the back side of the antenna substrate. For our applications we have been using hyperhemispherical lenses made of high-resistivity silicon (HR-Si) with 10 mm diameter and 6.15 mm height. By varying the geometrical [12] and material parameters of the antenna structures, the THz field may be optimized for the respective application such as spectroscopy or imaging. The influence of substrate material of the antenna on the radiation pattern of the THz radiation in the far field is the subject of this paper. The measured electric signals (time domain) are further amplified and by means of Fourier transformation analyzed spectroscopically (frequency domain) afterwards. The THz pulse on its way from the emitter to the detector acquires specific information of the environment or an object through which it has passed and reveals its spectral characteristics after the Fourier transform. This technique of doing measurements in time domain and analyzing results in frequency domain is called THz time domain spectroscopy (THz-TDS) [13, 14]. Moving the object across the THz beam and performing TDS measurements for each position make it possible to get THz images of the object under investigation. For that purpose focused THz beams are mostly used and hence it is important to have exact information about the spectral and spatial quality of the generated THz beam.


## 2. Setup

The schematic of the used THz-TDS experimental setup is depicted in Figure2. The optical pulse from the femtosecond laser (central wavelength 800 nm, 120 fs pulse duration, and 80 MHz repetition rate [15]) is split into two beams with a beam splitter. One arm, led by the transmitted part, travels to the emitter antenna and reaches it after a fixed time and “opens” it giving rise to the THz pulse to be emitted into the free space from the back side of the antenna. The THz pulse travels through reflective THz optics to the detector and completes the emitter arm. The reflected beam from the beam splitter enters the second arm. It can be intentionally delayed by means of the delay line before reaching the detector antenna to match the arrival time of the THz pulse to open the detector. As long as the detector is open, the incoming THz pulse is able to induce a current transient through the antenna structure proportional to its immediate amplitude. Depending on the delay line position the optical pulse “opens” the antenna to detect different elementary sections along the electric field amplitude envelope of the THz pulse. Since the generated photocurrents are very low, lock-in technique is used to amplify the signal for further processing.Figure 2
Schematic of a standard THz-TDS experimental setup. The optical pulse is split into two halves. The one through the beam splitter reaches the emitter antenna after a fixed flight time and gives rise to the THz pulse to be emitted into the free space and travel through THz optics to the detector. The reflected part of the optical pulse is delayed by means of the delay line before reaching the detector antenna against the arrival time of the THz pulse. Depending on the delay line position the optical pulse “opens” the antenna to detect different elementary sections along the electric field amplitude envelope of THz pulse.As THz emitter a 20μm dipole antenna consisting of low-temperature grown gallium arsenide (LT-GaAs) on a semi-insulating gallium arsenide (SI-GaAs) substrate was used. In a second experiment the emitter was exchanged by LT-GaAs on a high-resistivity (HR) silicon substrate [14]. The approximately 2 μm thin LT-GaAs layer was bonded onto the HR-Si substrate by natural intermolecular surface forces (Van der Waals bonding). This LT-GaAs layer is just large enough to process the dipole antenna on it. At the edge the wire contacts are bonded to wires on the Si substrate so one can connect it to the circuit board (see Figure 3).Figure 3
The rectangle in the center is a thin LT-GaAs layer on the HR-Si substrate. On the layer the dipole antenna and in each corner the alignment marks are processed. Wires on the substrate are connected to the dipole on the layer.It is possible with this approach to use the LT-GaAs wafer more efficiently and to process hundreds of THz antennas from one wafer. To be sure that the emitted THz radiation shows symmetric field distribution the Si lens needs to be aligned precisely. Thus, in addition to the dipole antenna 4 alignment marks were processed on the chip. With the help of those marks it is possible to determine the exact position of the dipole antenna with respect to the optical axis of the Si lens by using a high resolution camera. The lens is mounted on the back side of the chip, and the edge of this lens can be captured from the camera too. Thus, the center position of the lens can be determined. With two stepper motors inx- and y-direction it is possible to align the center position of the Si lens on the dipole antenna with an accuracy of 2 μm. In the following step the Si lens is glued with a UV adhesive onto the chip.To scan a range of 50 mm inx-, y-, and z-direction, a fiber-coupled photoconductive switch (PCS) as THz detector based on a 40 μm dipole antenna was used to avoid realigning the optical part after every movement. In Figure 4, a schematic drawing of our setup and one measured beam profile in accordance with that scheme are shown.Figure 4
Schematic drawing of the setup for measuring radiation patterns (a). The fiber-coupled THz detector is movable inx-, y-, and z-direction with stepper motors. At each position a TDS scan can be performed. The dimension of the active area of the detector antenna is considerably small compared to the THz wavelength. An example of a measured beam profile in XZ-plane is shown for a better understanding of the results (b).
(a)
(b)Furthermore, it was possible to change the distance inz-direction between the THz far-field radiation pattern from photoconductive emitters on different substrates and the THz detector in a range from 30 mm to 80 mm. At each detector position a THz-TDS scan with a spectral bandwidth of approximately 2 THz was performed. The emitted average power for both antenna geometries was in the order of a few μW.


## 3. Results

In previous work far-field measurements using a sapphire substrate (n=3.40) and a Si lens have shown a frequency dependent THz field distribution [16]. Based on these results we have first performed measurements with a GaAs substrate on a Si lens. In our setup the thickness of this substrate was 400 μm. The refractive index step of the different materials (0.19 in this case) leads to total internal reflection and, as a consequence, to a limiting stop aperture of approximately 2.2 mm as shown in Figure 5(a). Second, we compare these results with LT-GaAs on a Si substrate, again in combination with a Si lens. The advantage is that now there is no stop aperture at the interface because the substrate and the lens are of the same material. In this case the limiting aperture is given by the dimensions of the lens itself (see Figure 5(b)). The thickness of the LT-GaAs layer (2 μm) is small compared to the emitted wavelength of the THz radiation; hence, the interfaces between the small LT-GaAs emitter and the surrounding Si can be neglected, acting as a bulk Si lens with integrated emitter.Figure 5
Schematic drawing of the THz wavefront propagation from GaAs substrate (a) and Si substrate (b) in a Si lens. In the case of a refractive index jump between the substrate and the lens a limiting stop aperture appears, leading to additional interference distortions of the THz radiation pattern. The stop aperture size in the case of Si substrate is determined by the lens size. The antenna sits in the center at the leftmost interface.
(a)
(b)This behavior (schematically shown in Figure5) and the influence of the resulting diffraction at the stop aperture on the radiation pattern were experimentally verified for a THz beam emitted by the emitter based on GaAs substrate. The measured waveforms for both configurations are shown in Figure 6. No significant change is visible; the additional echoes are due to nonperfect attachment of the Si substrate to the Si lens. The signal strength depends strongly on the alignment of the Si lens and on the quality of the surface between LT-GaAs layer and Si substrate. Any scratch or dust reduces significantly the signal strength. The spectrum shows some oscillations due to the echoes in the waveforms. The signal-to-noise ratios (SNR) are comparable.Figure 6
Measured waveforms (a) and corresponding spectrum (b) using Si or SI-GaAs substrate.
(a)
(b)The measured distributions of electric field strength for various frequency components in theXZ-plane are shown in Figure 7. As one can see, for lower frequencies around 200 GHz one has almost a diffraction-free picture. At higher frequencies around 550 GHz an obvious interference minimum between 50 and 80 mm and one maximum ring are observed. At 900 GHz the depth of the central minimum is getting smaller, while the next diffraction order in the form of the second ring can be detected. At 1.2 THz the picture is getting even more complicated: Higher orders of diffraction appear.Figure 7
THz patterns at different distances to the detector in a range of 35 to 80 mm inz-direction and −25 mm to 25 mm in x-direction for 0.2 THz, 0.55 THz, 0.9 THz, and 1.2 THz. The blue lines mark the position for the spectrally resolved distributions shown in Figure 8.Figure 8
Measurement (a) and simulation (b) of the THz radiation pattern for LT-GaAs on SI-GaAs substrate as emitter at a distance of 65 mm inz-direction. Interference minima in both cases are clearly seen.
(a)
(b)The measured and numerically calculated frequency-resolved radiation patterns for a SI-GaAs substrate taken from the measurements at the distance of 65 mm (marked by the blue lines in Figure7) from the emitter are shown in Figure 8. As seen experimentally from the pattern we have observed up to 4 diffraction fringes in the frequency range from 0 THz up to 1.8 THz. This intensity distribution is a result of strong diffraction caused by the stop aperture which is formed due to the step between the refractive indices of the antenna substrate and the Si lens. For the calculation we numerically solve the Kirchhoff integral, neglecting absorption in Si and in GaAs, as they are negligible in the spectral region investigated. The antenna is represented by a dipole. The numerical calculation shows a qualitative similar behavior. However, the correspondence with the experimental data could be improved by better determining the material’s parameter; here, we used the refractive indices stated in the paper.In contrast to the emitter with SI-GaAs the radiation patterns from the emitter with HR-Si substrate are more collimated and much simpler in cross section. A corresponding beam profile is shown in Figure9. As one can see there are no strong interference effects or higher-order diffraction effects in the same frequency range anymore. As expected, the beam profile narrows down for increasing frequencies. Much more homogeneous spatial distributions are advantageous for spectrally resolved imaging application, as there are no longer any dark spots found on the sample surface, which might lead to frequency depending imaging artifacts.Figure 9
Measurement of the THz radiation pattern for LT-GaAs as emitter on HR-Si substrate with a spectral bandwidth up to 1.8 THz at a distance of 65 mm inz-direction.Besides the demonstrated advantage of using HR-Si as substrate material for the antennas, this combination is also promising from an economical point of view: The price of production for a single antenna can be essentially reduced, as only very small amounts of LT-GaAs are needed for successful antenna fabrication. Furthermore, this approach reduces the impact on the environment by reducing the overall amount of GaAs used.Finally, we compare this also to an alternative source of THz emission, being simpler in application at first sight: so-called surface emitters based on moderately doped bulk semiconductors, for example, indium arsenide (see [17] and the references therein). Although the material in itself is much cheaper and does not require structuring, it needs much higher optical pump powers up to 1 watt or even higher to reach comparable average power in the THz beam. This makes the overall setup less flexible and suitable only for stationary laboratory systems. With compact and fiber-coupled antenna-based THz systems [18] requiring only several-tens-of-milliwatt optical powers combined with the improved spatial beam profile this seemingly old-fashioned approach of THz generation is still extremely attractive and fit for future applications.


## 4. Conclusion

We have presented radiation pattern measurements of dipole antennas fabricated using two different emitter substrates. For LT-GaAs on SI-GaAs as emitter substrate strong interference effects and higher-order diffraction effects are observed due to the refractive index step between the emitter substrate and the Si lens. These effects can be avoided by using LT-GaAs on HR-Si substrate resulting in almost interference-free beam propagation.In this paper we have demonstrated the improved beam pattern by using HR-Si substrate instead of SI-GaAs substrate due to the near-perfect index matching between substrate and Si lens. We do not expect that the HR-Si substrate itself enhances the electric field of the THz output. The contact between the LT-GaAs layer and the HR-Si substrate is very critical to the THz output power. Any scratch or dust in between these two layers will cause a significant reduction of output power. Therefore, a simple comparison of the obtained THz output power is not sufficient to decide the influence of the substrate on the THz generation. Here, the process of the placement of the LT-GaAs layer on the HR-Si substrate has to be improved before this effect can be investigated.The generation of almost interference-free THz beam will improve the quality of imaging setup, especially when using a multipixel approach. In this approach, the optical system can be described in a very simple way, for example, like a source with frequency dependent angle of radiation.For our experiments, we use an antenna design which is widespread in the terahertz time domain spectroscopy. The goal of the paper is the proof of concept that the use of HR-Si substrate instead of SI-GaAs will minimize interference pattern of the antenna output. Due to this radiation pattern, THz system can be improved by engineering the antenna and/or the imaging optics.



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