Thesis

Sub-wavelength microscopy techniques in the TeraHertz frequency range

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Abstract

Imaging in the Terahertz frequency range at subwavelength resolution has gained a great interest for certain studies which cannot be carried out with other parts of the electromagnetic spectrum. However, classical optical schemes cannot be employed to obtain micrometre-range resolution for THz microscopy as diffraction limits the resolution to about 100 µm. In this thesis, we present two different original subwavelength THz microscopy techniques. In the first technique, the THz beam is screened by a thin metallic sheet in which a subwavelength hole has been made. The sample is placed against the sheet and moved over the hole to perform a raster image. The expected resolution is then equal to the hole size. The second technique presented in this thesis is based on generated a THz signal directly from the sample. When a laser beam is focused in the sample, the illuminated region, if non-centrosymmetric, can generate THz signals through optical rectification. The raster image is obtained by recording this THz signal while the laser beam is moved over the sample. The expected resolution is then close to the laser spot size.Both technique might involve weak THz signals. That is why we investigated on the possibility to measure them with a very sensitive detector, usually used for astronomy, named kinetic inductance detector (KID). This manuscript presents its principle as well as the study that was carried on. On a “classical” time domain spectroscopy setup, signal as low as 0.2 fW were thus recorded, demonstrating the interest of such detectors.The two last chapters are dedicated to the two microscopy techniques themselves. For the first one, a simulation model using a finite element model solver is used to design the most efficient aperture to enhance the transmission through a subwavelength hole. The results show that a conically tapered hole has a higher transmission than a classical cylindrical hole. Our attempts at using the KIDs camera for the first time for THz microscopy are discussed and first encouraging results are presented.Finally, the ORTI (Optical Rectification Terahertz Imaging) technique is investigated. An image with a 10 µm spatial resolution (λ/214 for 0.14 THz) was obtained while scanning the ferroelectric domains of a crystal of PPKTP. We show that the resolution of the image depends only on the laser spot size and not on the generated THz frequency. In addition, we showed that ORTI image can be used to scan a poly-crystalline sample as well as a crystal with different thickness areas. Lastly, the limitations of the spatial resolution of ORTI images are discussed in detail.

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... where n 0 is the refractive index of the EO crystal at the frequency of the optical beam, L is the thickness of the EO crystal, r i j is one unit EO coefficient in standard crystallographic coordinate system, which varies for different crystal classes, ω and c are the angular frequency and the speed of light for the optical beam, respectively [163]. The balanced photodiodes measure intensities of x and y components : ...
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Introduction to THz Wave Photonics examines the science and technology related to terahertz wave technologies, taking a dual approach between presenting the field's history while simultaneously providing an overview of existing technology. The latest research in developing THz areas such as electromagnetic waves are presented, along with an introduction to continuous wave THz technology. Authors X.-C. Zhang and Jingzhou Xu place particular emphasis on pulsed THz technology, among many other facets of THz technology including: •Complete coverage of THz wave spectroscopy and imaging •A discussion of 3D THz wave imaging •Applications of THz technology in the security field as related to explosives and hazardous materials •THz applications in bio-engineering and biomedicine Introduction to THz Wave Photonics is the perfect book for academic researchers, practicing engineers and students interested in learning more about the subject. © Springer Science+Business Media, LLC 2010. All rights reserved.
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An experimental and numerical study of the laser-induced damage of the surface of optical material in the femtosecond regime is presented. The objective of this work is to investigate the different processes involved as a function of the ratio of photon to bandgap energies and compare the results to models based on nonlinear ionization processes. Experimentally, the laser-induced damage threshold of optical materials has been studied in a range of wavelengths from 1030 nm (1.2 eV) to 310 nm (4 eV) with pulse durations of 100 fs with the use of an optical parametric amplifier system. Semi-conductors and dielectrics materials, in bulk or thin film forms, in a range of bandgap from 1 to 10 eV have been tested in order to investigate the scaling of the femtosecond laser damage threshold with the bandgap and photon energy. A model based on the Keldysh photo-ionization theory and the description of impact ionization by a multiple-rate-equation system is used to explain the dependence of laser-breakdown with the photon energy. The calculated damage fluence threshold is found to be consistent with experimental results. From these results, the relative importance of the ionization processes can be derived depending on material properties and irradiation conditions. Moreover, the observed damage morphologies can be described within the framework of the model by taking into account the dynamics of energy deposition with one dimensional propagation simulations in the excited material and thermodynamical considerations.
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Time domain THz spectroscopy measurements were performed on a series of undoped and Mg-doped congruent lithium niobate crystals with 1.2, 6.1, and 8.4 mol% Mg concentrations and on undoped and Mg-doped stoichiometric lithium niobate crystals with 0.7, 1.5, and 4.2 mol% Mg concentrations with polarization parallel (extraordinary) and perpendicular (ordinary) to the z axis of the crystal at 300 K. The absorption coefficient and refractive index spectra were determined in the THz frequency range from 0.25 to ~2.5 THz. In the case of congruent samples for both polarizations, both the refractive index and the absorption coefficient have minimal values for compositions close to the photorefractive threshold. In the case of stoichiometric samples, similar tendencies close to the photorefractive threshold at lower Mg concentration were observed but only for extraordinary polarization, while for ordinary polarization the measured values, especially for the absorption coefficient, were only weakly dependent on the Mg content.
Article
The finite-difference time-domain (FDTD) method is employed to numerically study the transmission characteristics of an H-shaped nano-aperture in a metal film in the optical frequency range. It is demonstrated that the fundamental TE10 mode concentrated in the gap between the two ridges of the H-shaped aperture provides a high transmission efficiency above unity and the size of the gap determines the sub-wavelength resolution. Fabry-Perot-like resonance is observed. Localized surface plasmon (LSP) is excited on the edges of the aperture in a silver film but has a negative effect on the signal contrast and field concentration, while aluminum acts similar to an ideal conductor if the film thickness is several times larger than the finite skin depth. In addition, it is shown that two other ridged apertures, C-shaped and bowtie-shaped apertures, can also be used to achieve a sub-wavelength resolution in the near field with a transmission efficiency above unity and a high contrast.
Article
Phase-locked ultrashort pulses in the rich terahertz spectral range1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 have provided key insights into phenomena as diverse as quantum confinement7, first-order phase transitions8, 12, high-temperature superconductivity11 and carrier transport in nanomaterials1, 6, 13, 14, 15. Ultrabroadband electro-optic sampling of few-cycle field transients1 can even reveal novel dynamics that occur faster than a single oscillation cycle of light4, 8, 10. However, conventional terahertz spectroscopy is intrinsically restricted to ensemble measurements by the diffraction limit. As a result, it measures dielectric functions averaged over the size, structure, orientation and density of nanoparticles, nanocrystals or nanodomains. Here, we extend ultrabroadband time-resolved terahertz spectroscopy to the sub-nanoparticle scale (10 nm) by combining sub-cycle, field-resolved detection (10 fs) with scattering-type near-field scanning optical microscopy (s-NSOM)16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26. We trace the time-dependent dielectric function at the surface of a single photoexcited InAs nanowire in all three spatial dimensions and reveal the ultrafast (<50 fs) formation of a local carrier depletion layer.
Article
Combined with THz time-domain spectroscopy, THz near-field microscopy based on an atomic force microscope is a technique that, while challenging to implement, is invaluable for probing low-energy light-matter interactions of solid-state and biomolecular nanostructures, which are usually embedded in background media. Here, we experimentally demonstrate a broadband THz pulse near-field microscope that provides sub-surface nanoimaging of a metallic grating embedded in a dielectric film. The THz near-field microscope can obtain broadband nanoimaging of the sub-surface grating with a nearly frequency-independent lateral resolution of 90 nm, corresponding to ~λ/3300, at 1 THz, while the AFM only provides a flat surface topography.
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In this chapter, we discuss different techniques to solve numerically wave propagation phenomena in unbounded domains. We present in two ways a unified and simple way to restrict the computation to a finite domain: absorbing (or artificial) boundary conditions and perfectly matched layers. The intent is to give the possibility to the reader to grasp easily similarities and differences between these two truncation tecnhiques. It should also allow the reader to adapt a truncation technique to the peculiarities of his physical modeling.
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Using a terahertz-radiation imaging, visualizations of ferroelectric domains were made in a room-temperature organic ferroelectric, croconic acid. In as-grown crystals, observed are ferroelectric domains with sizes larger than 50-μm square, which are separated by both 180° and tail-to-tail domain walls (DWs). By applying an electric field along c axis (the polarization direction), a pair of 180° DWs is generated and an each 180° DW oppositely propagates along a axis, resulting in a single domain. By cyclic applications of electric fields, a pair of 180° DWs repeatedly emerges, while no tail-to-tail DWs appear. We discuss the usefulness of the terahertz-radiation imaging as well as the observed unique DW dynamics.
Article
We demonstrate photon-noise limited performance at sub-millimeter wavelengths in feedhorn-coupled, microwave kinetic inductance detectors (MKIDs) made of a TiN/Ti/TiN trilayer superconducting film, tuned to have a transition temperature of 1.4~K. Micro-machining of the silicon-on-insulator wafer backside creates a quarter-wavelength backshort optimized for efficient coupling at 250~\micron. Using frequency read out and when viewing a variable temperature blackbody source, we measure device noise consistent with photon noise when the incident optical power is >>~0.5~pW, corresponding to noise equivalent powers >>~3×1017\times 10^{-17} W/Hz\sqrt{\mathrm{Hz}}. This sensitivity makes these devices suitable for broadband photometric applications at these wavelengths.