Adiabat Shaping Research Articles

Numerical Method for the Design of Compact Adiabatic Devices with Multiple Parameter Variations

In this study, a numerical method for designing efficient adiabatic devices with multiple structural parameter variations (NAMSP) is developed. This method can be applied to a wide range of devices based on adiabatic mode evolution structures. The numerical design complexity of multiple structural parameter variations will be greatly improved compared to the case of a single parameter variation. Therefore, an efficient domain decomposition scheme was originally introduced into the NAMSP method. The proposed method can help compute compact adiabatic guided-wave shapes for these adiabatic devices with multiple structural parameter variations. Adiabatic devices with multiple structural parameter variations are used to connect different complex waveguides, which are often difficult to design using analytical methods. The design involves tapering the width of the two or more core layers at one time; however, this change in the width typically affects the mode both vertically and horizontally. Our numerical method allows the shape of the width variation for each layer that facilitates compact adiabatic mode transformation to be obtained. The efficiency of the adiabatic device that was designed using the NAMSP method considerably exceeds that obtained using a linear-shaped device. Moreover, our designed adiabatic device enables an ultra-wide operating bandwidth (spans in the wavelength from 1050 nm to 4780 nm).

Adiabatic operation slope-loss algorithm for ultrashort and broadband waveguide taper

In this paper, an adiabatic operation slope-loss algorithm (AO-SLA) is developed for designing efficient adiabatic waveguide tapers. The algorithm can compute the efficient adiabatic guided-wave shape of the waveguide taper. A well-studied case of an adiabatic waveguide taper is used to show how it can readily generate a guided-wave shape that gives the same mode-connection power transfer with a much shorter length compared with the linear shape. In the waveguide taper design, it is shown that the device efficiency designed with AO-SLA is better than that based on the parabolic case and the SLA case, and the adiabatic taper designed can give a broad operating bandwidth. Moreover, the adiabatic condition α for AO-SLA can be very large.

Adiabatic Evolution and Shape Resonances

Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrödinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter ε \varepsilon with ln ⁡ ε ≍ − 1 / h \ln \varepsilon \asymp -1/h , where h h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length ε − N \varepsilon ^{-N} with an error O ( ε N ) {\mathcal O}(\varepsilon ^N) . Here N > 0 N>0 is arbitrary. \center Résumé \endcenter Motivés par un problème d’approximation à un mode pour une évolution avec accumulation de charge dans des puits de potentiel, nous considérons un problème d’évolution linéaire pour un opérateur de Schrödinger avec un potentiel dépendant du temps avec un puits dans une île. En particular, nous montrons que nous pouvons choisir le paramètre adiabatique ε \varepsilon avec ln ⁡ ε ≍ − 1 / h \ln \varepsilon \asymp -1/h , où h h désigne le paramètre semi-classique, et obtenir des approximations adiabatiques de solutions exactes sur des intervalles de temps de longueur ε − N \varepsilon ^{-N} avec une erreur O ( ε N ) {\mathcal O}(\varepsilon ^N) . Ici N > 0 N>0 est arbitraire.

Numerical method for designing ultrashort and efficient adiabatic mode converters

This paper proposes a fully numerical method for designing adiabatic mode converters (NM-AMCs). The proposed method can help compute efficient adiabatic guided-wave shapes for mode converters using a nonuniform section division technique. Such a scheme reduces the memory requirement and computational time for the design of adiabatic devices. Furthermore, the adiabatic mode converter comprises a ridge waveguide, which is difficult to design using analytical methods. This complex case of an adiabatic mode converter is used to demonstrate how the proposed method can readily generate a guided-wave shape that gives the same mode-connection power transfer with a far shorter length compared with a linear-shape converter. The efficiency of the device designed using this NM-AMC is significantly better than that of linear-shape converters; this designed adiabatic mode converter can enable a broad operating bandwidth. Moreover, the efficiency of the adiabatic mode converter that was designed using the NM-AMC method considerably exceeds that obtained using an analytical method proposed for a strip waveguide.

Solution combustion synthesized micron sized yttrium aluminum garnet (Y3Al5O12) powder: A promising feedstock source for plasma spraying

Yttrium aluminum garnet (YAG) is a well-known high-temperature ceramic material that is used in a plethora of applications such as solid-state laser materials, cathode-ray tubes, field emission displays, scintillators, phosphors, electro-luminescent devices, etc. In recent years, plasma-sprayed yttrium aluminum garnet (YAG) has been explored as an alternative ceramic topcoat for thermal barrier coatings (TBCs) as it is known to prevent the oxidation of the bond coat. Also, it possesses high resistance to calcium magnesium aluminosilicate (CMAS) attack compared to conventional yttria-stabilized zirconia (YSZ) TBC topcoat material. In the current investigation, an attempt is made to fabricate plasma-sprayed YAG coating. The flowable powders required for plasma spraying are synthesized by the versatile solution combustion method after optimizing the process with two different fuels. The powders synthesized using hexamine fuel possess blocky angular-shaped particles and very good flowability. The flowability of the powders is correlated to the heat of combustion, adiabatic flame temperature and shape of the particles. The YAG powder synthesized from hexamine fuel is used for plasma spray application as the process results in higher yield and better flowability. The influence of different plasma spray powers (20, 30 and 40 kW) on the phase purity and crystallinity of the YAG coatings is studied using X-ray diffractometry. The influence of three different plasma powers on the microhardness and microstructure of the coatings is explored. The YAG coating plasma-sprayed at 30 kW is relatively a dense coating and exhibits a higher microhardness value of 1342 ± 9 HV at a load of 100 mN. The CMAS resistance of the YAG coatings is also reported.

No signature of the saturation of giant dipole resonance width in medium-mass nuclei

An experimental study on the temperature ($T$) dependence of giant dipole resonance (GDR) width was performed for the medium mass nucleus $^{74}\mathrm{Kr}$ in the range of $T\ensuremath{\approx}2--2.5$ MeV at an average angular momentum of $26\ensuremath{\hbar}$ using the $^{16}\mathrm{O}+^{58}\mathrm{Ni}$ fusion reaction. The emitted high-energy $\ensuremath{\gamma}$ rays and evaporated neutrons were measured in coincidence with low-energy discrete $\ensuremath{\gamma}$-ray multiplicities. The GDR parameters, nuclear level density parameter, and nuclear temperature were determined by the statistical model analysis of the high-energy $\ensuremath{\gamma}$-ray spectra as well as evaporated neutron spectra. The measured GDR width is found to increase monotonically with temperature, in contradiction with the recent observation of the width saturation in $^{88}\mathrm{Mo}$. Comparisons of the measured data with predictions of the adiabatic thermal shape fluctuation model and its refined version, the critical temperature included fluctuation model, are presented and discussed.

Adiabat Shaping in Direct Drive Inertial Confinement Fusion Implosions through the Decaying Shock Approximation

We consider the implosions of a double-layer spherical target driven by a two-step pressure pulse. By employing the decaying shock approximation the adiabat of the entropy is shaped, following a simple power law in agreement with the established theoretical models. Then we directly calculate the optimum adiabat parameter for three different fuel density states and find that the higher the initial density is, the lower adiabat parameter. Although the calculated adiabat values are close to ones obtained in previous investigations, they are achieved for relatively fast irradiation times and low laser intensity.

A Fully Numerical Method for Designing Efficient Adiabatic Mode Evolution Structures (Adiabatic Taper, Coupler, Splitter, Mode Converter) Applicable to Complex Geometries

A fully numerical method for designing efficient adiabatic mode evolution structure (AMES) (referred to as NAMES) is introduced, which can be applied to adiabatic taper, coupler, splitter, mode converter, and a wide range of AMES based devices. The method can compute efficient adiabatic waveguiding shapes for these devices, including those with complex waveguiding geometries involving 2D/3D mode connections. We introduce two algorithms for the NAMES, referred to as “maximal mode-power loss at top algorithm” and “mode-power loss at initial slope algorithm”. Both are based on keeping the mode-connection power exchange constant. We use the simple case of a waveguide taper to explain the algorithms, and then apply it to a more complex case of an adiabatic waveguide coupler to show how it can readily generate a waveguiding shape that can give the same mode-connection power transfer with a much shorter length than that based on a linear shape. In the coupler case, we show the device efficiency is equal to that based on an optimized analytical approach developed for a simple geometry, but the NAMES can address many different device types and complex device geometries all with a single numerical approach that would also enable design automation. The algorithms utilize Eigenmode Expansion (EME) simulator for field propagation with functionalities that are particularly efficient for the algorithms. We cross-checked the EME simulator results using finite-difference time-domain method. With sufficiently fine division of the structure, the waveguiding shape generated converges to basically the same shape for both algorithms and the shape is quite insensitive to the starting parameters. Thus, the NAMES given is robust, convergent, efficient, and general (not restricted to a particular device type). The NAMES would have wide applications to designing AMES based devices with complex geometries for photonic integrated circuits.

Engineering Profiles of Thermally Drawn Optical Fiber Tapers

Thermal fiber drawing is an efficient technique for producing optical fiber tapers whose operation regime gradually varies between multi-mode and single-mode. Here we present a comprehensive theoretical analysis of tapering optical fibers through changing their drawing speed on a standard fiber draw tower. We analytically calculate the drawing speed, drawing acceleration, and time needed to produce different kinds of fiber tapers and analyze the derived expressions to find the optimal fabrication parameters for the tapers. The obtained results inform how to most efficiently draw optical fiber tapers of different adiabatic shapes using the minimal pulling force for a given tapering ratio.

Analytic theory for Bragg atom interferometry based on the adiabatic theorem

High-fidelity Bragg pulses are an indispensable tool for state-of-the-art atom interferometry experiments. In this paper, we introduce an analytic theory for such pulses. Our theory is based on the pivotal insight that the physics of Bragg pulses can be accurately described by the adiabatic theorem. We show that efficient Bragg diffraction is possible with any smooth and adiabatic pulse shape and that high-fidelity Gaussian pulses are exclusively adiabatic. Our results give strong evidence that adiabaticity according to the adiabatic theorem is a necessary requirement for high-performance Bragg pulses. Our model provides an intuitive understanding of the Bragg condition, also referred to as the condition on the "pulse area". It includes corrections to the adiabatic evolution due to Landau-Zener processes as well as the effects of a finite atomic velocity distribution. We verify our model by comparing it to an exact numerical integration of the Schr\"odinger equation for Gaussian pulses diffracting four, six, eight and ten photon recoils. Our formalism provides an analytic framework to study systematic effects as well as limitations to the accuracy of atom interferometers employing Bragg optics that arise due to the diffraction process.

Symmetric Rydberg controlled- Z gates with adiabatic pulses

We analyze neutral atom Rydberg $C_Z$ gates based on adiabatic pulses applied symmetrically to both atoms. Analysis with smooth pulse shapes and Cs atom parameters predicts the gates can create Bell states with fidelity ${\mathcal F}>0.999$ using adiabatic rapid passage (ARP) pulses. With globally optimized adiabatic pulse shapes, in a two-photon excitation process, we generate Bell states with fidelity ${\mathcal F}=0.997$. The analysis fully accounts for spontaneous emission from intermediate and Rydberg states, including the Rydberg lifetime in a room temperature environment, but does not include errors arising from laser noise. The gate protocols do not require individual addressing and are shown to be robust against Doppler shifts due to atomic motion.

Rapid generation of Mott insulators from arrays of noncondensed atoms

We theoretically analyze a scheme for a fast adiabatic transfer of cold atoms from the atomic limit of isolated traps to a Mott-insulator close to the superfluid phase. This gives access to the Bose-Hubbard physics without the need of a prior Bose-Einstein condensate. The initial state can be prepared by combining the deterministic assembly of atomic arrays with resolved Raman sideband cooling. In the subsequent transfer the trap depth is reduced significantly. We derive conditions for the adiabaticity of this process and calculate optimal adiabatic ramp shapes. Using available experimental parameters, we estimate the impact of heating due to photon scattering and compute the fidelity of the transfer scheme. Finally, we discuss the particle number scaling behavior of the method for preparing low-entropy states. Our findings demonstrate the feasibility of the proposed scheme with state-of-the-art technology.

Experimental results of radiation-driven, layered deuterium-tritium implosions with adiabat-shaped drives at the National Ignition Facility

Radiation-driven, layered deuterium-tritium (DT) implosions were carried out using 3-shock and 4-shock “adiabat-shaped” drives and plastic ablators on the National Ignition Facility (NIF) [E. M. Campbell et al., AIP Conf. Proc. 429, 3 (1998)]. The purpose of these shots was to gain further understanding on the relative performance of the low-foot implosions of the National Ignition Campaign [M. J. Edwards et al., Phys. Plasmas 20, 070501 (2013)] versus the subsequent high-foot implosions [T. Döppner et al., Phys. Rev. Lett. 115, 055001 (2015)]. The neutron yield performance in the experiment with the 4-shock adiabat-shaped drive was improved by factors ∼3 to ∼10, compared to five companion low-foot shots despite large low-mode asymmetries of DT fuel, while measured compression was similar to its low-foot companions. This indicated that the dominant degradation source for low-foot implosions was ablation-front instability growth, since adiabat shaping significantly stabilized this growth. For the experiment with the low-power 3-shock adiabat-shaped drive, the DT fuel compression was significantly increased, by ∼25% to ∼36%, compared to its companion high-foot implosions. The neutron yield increased by ∼20%, lower than the increase of ∼50% estimated from one-dimensional scaling, suggesting the importance of residual instabilities and asymmetries. For the experiment with the high-power, 3-shock adiabat-shaped drive, the DT fuel compression was slightly increased by ∼14% compared to its companion high-foot experiments. However, the compression was reduced compared to the lower-power 3-shock adiabat-shaped drive, correlated with the increase of hot electrons that hypothetically can be responsible for reduced compression in high-power adiabat-shaped experiments as well as in high-foot experiments. The total neutron yield in the high-power 3-shock adiabat-shaped shot N150416 was 8.5 × 1015 ± 0.2 × 1015, with the fuel areal density of 0.90 ± 0.07 g/cm2, corresponding to the ignition threshold factor parameter IFTX (calculated without alpha heating) of 0.34 ± 0.03 and the yield amplification due to the alpha heating of 2.4 ± 0.2. The performance parameters were among the highest of all shots on NIF and the closest to ignition at this time, based on the IFTX metric. The follow-up experiments were proposed to continue testing physics hypotheses, to measure implosion reproducibility, and to improve quantitative understanding on present implosion results.

Study of multi-layer active magnetic regenerators using magnetocaloric materials with first and second order phase transition

Magnetocaloric materials (MCM) with a first order phase transition (FOPT) usually exhibit a large, although sharp, isothermal entropy change near their Curie temperature, compared to materials with a second order phase transition (SOPT). Experimental results of applying FOPT materials in recent magnetocaloric refrigerators (MCR) demonstrated the great potential for these materials, but a thorough study on the impact of the moderate adiabatic temperature change and strong temperature dependence of the magnetocaloric effect (MCE) is lacking. Besides, comparing active magnetic regenerators (AMR) using FOPT and SOPT materials is also of fundamental interest. We present modeling results of multi-layer AMRs using FOPT and SOPT materials based on a 1D numerical model. First the impact of isothermal entropy change, adiabatic temperature change and shape factor describing the temperature dependence of the MCE are quantified and analyzed by using artificially built magnetocaloric properties. Then, based on measured magnetocaloric properties of La(Fe,Mn,Si)13Hy and Gd, an investigation on how to layer typical FOPT and SOPT materials with different temperature spans is carried out. Moreover, the sensitivity of variation in Curie temperature distribution for both groups of AMRs is investigated. Finally, a concept of mixing FOPT and SOPT materials is studied for improving the stability of layered AMRs with existing materials.

Theoretical analysis of optimum adiabatic tapering length and pulse shape modulation along tapered multimode fiber

In this paper, Helmholtz equation for large core tapered fiber has been solved by using beam propagation method. The evolution of Gaussian input field, electric field and electric power at different linear tapering length have been studied. As an importance of adiabatic optical field transmission along tapered length, minimum tapering length has been obtained for this great task. Also, because of importance of transverse electric field distribution at the output of the tapered segment, the minimum tapering length for this purpose has been obtained.

Measuring and Suppressing Quantum State Leakage in a Superconducting Qubit.

Leakage errors occur when a quantum system leaves the two-level qubit subspace. Reducing these errors is critically important for quantum error correction to be viable. To quantify leakage errors, we use randomized benchmarking in conjunction with measurement of the leakage population. We characterize single qubit gates in a superconducting qubit, and by refining our use of derivative reduction by adiabatic gate pulse shaping along with detuning of the pulses, we obtain gate errors consistently below 10^{-3} and leakage rates at the 10^{-5} level. With the control optimized, we find that a significant portion of the remaining leakage is due to incoherent heating of the qubit.

First results of radiation-driven, layered deuterium-tritium implosions with a 3-shock adiabat-shaped drive at the National Ignition Facility

Radiation-driven, layered deuterium-tritium plastic capsule implosions were carried out using a new, 3-shock “adiabat-shaped” drive on the National Ignition Facility. The purpose of adiabat shaping is to use a stronger first shock, reducing hydrodynamic instability growth in the ablator. The shock can decay before reaching the deuterium-tritium fuel leaving it on a low adiabat and allowing higher fuel compression. The fuel areal density was improved by ∼25% with this new drive compared to similar “high-foot” implosions, while neutron yield was improved by more than 4 times, compared to “low-foot” implosions driven at the same compression and implosion velocity.

A strategy for reducing stagnation phase hydrodynamic instability growth in inertial confinement fusion implosions

Encouraging progress is being made in demonstrating control of ablation front hydrodynamic instability growth in inertial confinement fusion implosion experiments on the National Ignition Facility [E. I. Moses, R. N. Boyd, B. A. Remington, C. J. Keane, and R. Al-Ayat, Phys. Plasmas 16, 041006 (2009)]. Even once ablation front stabilities are controlled, however, instability during the stagnation phase of the implosion can still quench ignition. A scheme is proposed to reduce the growth of stagnation phase instabilities through the reverse of the “adiabat shaping” mechanism proposed to control ablation front growth. Two-dimensional radiation hydrodynamics simulations confirm that improved stagnation phase stability should be possible without compromising fuel compression.

Differential ablator-fuel adiabat tuning in indirect-drive implosions

We propose a design adjustment to the high foot laser pulse [T. R. Dittrich et al., Phys. Rev. Lett. 112, 055002 (2014)] that is predicted to lower the fuel adiabat, increase compression and neutron production, but maintain similar ablation front growth. This is accomplished by lowering the laser power between the first and the second pulses (the "trough") so that the first shock remains strong initially but decays as it transits the ablator and enters the capsule fuel in a process similar to direct-drive "adiabat shaping" [S. E. Bodner et al., Phys. Plasmas 7, 2298 (2000)]. Integrated hohlraum simulations show that hohlraum cooling is sufficient to launch decaying shocks with adequate symmetry control, suggesting that adiabat shaping may be possible with indirect-drive implosions. Initial experiments show the efficacy of this technique.

Detection of hydrogen bonds in dynamic regions of RNA by NMR spectroscopy.

NMR spectroscopy is a powerful tool to study the structure and dynamics of nucleic acids. In this unit, we give an overview of important experiments to determine and characterize hydrogen bonds in nucleic acids and provide detailed instructions for setting up recently developed sensitivity-improved NMR pulse sequences, i.e., BEST selective long-range HNN-COSY, selective BEST-TROSY-HNNCOSY, and Py H(CC)NN-COSY. The strengths and limitations of these experiments will also be discussed. Detailed step-by-step protocols are provided for each of the three pulse sequences, with special emphasis on adjusting and setting of delays and shaped pulses. The NMR pulse sequences with example datasets and optimized, nonstandard adiabatic pulse shapes used for selective (15)N magnetization transfer are provided. These experiments enable NMR analysis of a broad variety of RNAs ranging from low to high molecular weight and complexity.