Exact wave-optical imaging of a Kerr-de Sitter black hole using Heun's equation

Spacetime perturbations due to scalar, vector, and tensor fields on a fixed background geometry can be described in the framework of Teukolsky's equation. In this work, wave scattering is treated analytically, using the Green's function method and solutions to the separated radial and angular differential equations in combination with a partial wave technique for a scalar and monochromatic perturbation. The results are applied to analytically describe wave-optical imaging via Kirchhoff-Fresnel diffraction, leading to, e.g., the formation of observable black hole shadows. A comparison to the ray-optical description is given, providing new insights into wave-optical effects and properties. On a Kerr-de Sitter spacetime, the cosmological constant changes the singularity structure of the Teukolsky equation and allows for an analytical, exact solution via a transformation into the Heun's differential equation, which is the most general, second-order differential equation with four regular singularities. The scattering of waves originating from a point source involves a solution in terms of the so-called Heun's function $Hf$. It is used to find angular solutions, which form a complete set of orthonormal functions similar to the spherical harmonics. Our approach allows to solve the scattering problem while taking into account the complex interplay of Heun's functions around local singularities.Comment: 27 pages, 15 figure

Nonlinear Spectroscopy and All-Optical Switching of Femtosecond Soliton Molecules

The emergence of confined structures and pattern formation are exceptional manifestations of concurring nonlinear interactions found in a variety of physical, chemical and biological systems[1]. Optical solitons are a hallmark of extreme spatial or temporal confinement enabled by a variety of nonlinearities. Such particle-like structures can assemble in complex stable arrangements, forming "soliton molecules"[2,3]. Recent works revealed oscillatory internal motions of these bound states, akin to molecular vibrations[4-8]. These observations beg the question as to how far the "molecular" analogy reaches, whether further concepts from molecular spectroscopy apply in this scenario, and if such intra-molecular dynamics can be externally driven or manipulated. Here, we probe and control such ultrashort bound-states in an optical oscillator, utilizing real-time spectroscopy and time-dependent external perturbations. We introduce two-dimensional spectroscopy of the linear and nonlinear bound-state response and resolve anharmonicities in the soliton interaction leading to overtone and sub-harmonic generation. Employing a non-perturbative interaction, we demonstrate all-optical switching between distinct states with different binding separation, opening up novel schemes of ultrafast spectroscopy, optical logic operations and all-optical memory.Comment: 3 figure

House price expectations

This study examines short-, medium-, and long-run price expectations in housing markets. We derive and test six hypothesis about the incidence, formation, and relevance of price expectations. To do so, we use data from a tailored household survey, past sale offerings, satellites, and from an information RCT. As novel findings, we show that price expectations exhibit mean reversion in the long-run. Moreover, we do not find evidence for biases related to individual housing tenure decisions or regret aversion. Confirming existing findings, we show that local market characteristics matter for expectations throughout, as well as aggregate price information. Lastly, we corroborate existing evidence that expectations are relevant for portfolio choice

House Price Expectations

This study examines short-, medium-, and long-run price expectations in housing markets. We derive and test six hypothesis about the incidence, formation, and relevance of price expectations. To do so, we use data from a tailored household survey, past sale and rental offerings, satellites, and from an information RCT. As novel findings, we show that price expectations exhibit mean reversion in the long-run. Moreover, we do not find evidence for biases related to individual housing tenure decisions or regret aversion. Confirming existing findings, we show that local market characteristics matter for expectations throughout, as well as aggregate price information. Lastly, we corroborate existing evidence that expectations are relevant for portfolio choice

Planar n-in-n quad module prototypes for the ATLAS ITk upgrade at HL-LHC

In order to meet the requirements of the High Luminosity LHC (HL-LHC), it will be necessary to replace the current tracker of the ATLAS experiment. Therefore, a new all-silicon tracking detector is being developed, the so-called Inner Tracker (ITk). The use of quad chip modules is intended in its pixel region. These modules consist of a silicon sensor that forms a unit along with four read-out chips. The current ATLAS pixel detector consists of planar n-in-n silicon pixel sensors. Similar sensors and four FE-I4 read-out chips were assembled to first prototypes of planar n-in-n quad modules. The main focus of the investigation of these modules was the region between the read-out chips, especially the central area between all four read-out chips. There are special pixel cells placed on the sensor which cover the gap between the read-out chips. This contribution focuses on the characterization of a non-irradiated device, including important sensor characteristics, charge collection determined with radioactive sources as well as hit efficiency measurements, performed in the laboratory and at testbeams. In addition, first laboratory results of an irradiated device are presented

Sequential and direct ionic excitation in the strong-field ionization of 1-butene molecules

We study the Strong-Field Ionization (SFI) of the hydrocarbon 1-butene as a function of wavelength using photoion-photoelectron covariance and coincidence spectroscopy. We observe a striking transition in the fragment-associated photoelectron spectra: from a single Above Threshold Ionization (ATI) progression for photon energies less than the cation D0–D1 gap to two ATI progressions for a photon energy greater than this gap. For the first case, electronically excited cations are created by SFI populating the ground cationic state D0, followed by sequential post-ionization excitation. For the second case, direct sub-cycle SFI to the D1 excited cation state contributes significantly. Our experiments access ionization dynamics in a regime where strong-field and resonance-enhanced processes can interplay

Structural Insight v3: A stand-alone program for micro structural analysis of computed tomography volumes

Structural Insight is a software for the analysis of 3D quantitative computed tomography volumes with a special weight for the analysis of the trabecular microstructure of human vertebrae.Sociedad Argentina de Informática e Investigación Operativa (SADIO

Structural Insight v3: A stand-alone program for micro structural analysis of computed tomography volumes

Structural Insight is a software for the analysis of 3D quantitative computed tomography volumes with a special weight for the analysis of the trabecular microstructure of human vertebrae.Sociedad Argentina de Informática e Investigación Operativa (SADIO

Interactive Quality Inspection of Measured Deviations in Sheet Metal Assemblies

We present an exploratory data analysis approach for finite element (FE) simulations to interactively inspect measured deviations in sheet metals arising in automotive applications. Exterior car body parts consist of large visible surfaces, and strict tolerances must be met by them to satisfy both aesthetic requirements and quality performance requirements. To fulfill quality requirements like gap and flushness, exterior vehicle components have adjustable mechanical boundaries. These boundaries are used to influence the shape and position of a sheet metal part relative to its chassis. We introduce a method that supports an inspection engineer with an interactive framework that makes possible a detailed analysis of measured sheet metal deviation fields generated from 3D scans. An engineer can interactively change boundary conditions and obtains the resulting deviation field in real-time. Thus, it is possible to determine viable and desirable adjustments efficiently, leading to time and cost savings in the assembly process