BER Performance of IM/DD FSO System with OOK using APD Receiver

In this paper, the performance of intensity-modulated with direct detection (IM/DD) free space optical (FSO) system using the on-off keying (OOK) and avalanche photodiode (APD) receiver is observed. The gamma-gamma model is used to describe the effect of atmospheric turbulence since it provides good agreement in the wide range of atmospheric conditions. In addition, the same FSO system with equal gain combining applied at the reception is analyzed. After theoretical derivation of the expression for the bit error rate (BER), the numerical integration with previously specified relative calculation error is performed. Numerical results are presented and confirmed by Monte Carlo simulations. The effects of the FSO link and receiver parameters on the BER performance are discussed. The results illustrate that the optimal APD gain in the minimum BER sense depends considerably on the link distance, atmospheric turbulence strength and receiver temperature. In addition, the value of this optimal gain is slightly different in the case of spatial diversity application compared with single channel reception

Ferromagnetic resonance with a magnetic Josephson junction

We show experimentally and theoretically that there is a coupling via the Aharonov-Bohm phase between the order parameter of a ferromagnet and a singlet, s-wave, Josephson supercurrent. We have investigated the possibility of measuring the dispersion of such spin waves by varying the magnetic field applied in the plane of the junction and demonstrated the electromagnetic nature of the coupling by the observation of magnetic resonance side-bands to microwave induced Shapiro steps.Comment: 6 pages, 5 figure

Transport properties of clean and disordered Josephson junction arrays

We investigate the influence of quantum fluctuations and weak disorder on the vortex dynamics in a two-dimensional superconducting Berezinskii-Kosterlitz-Thouless system. The temperature below which quantum fluctuations dominate the vortex creep is determined, and the transport in this quantum regime is described. The crossover from quantum to classical regime is discussed and the quantum correction to the classical current-voltage relation is determined. It is found that weak disorder can effectively reduce the critical current as compared to that in the clean system.Comment: 4 pages, 2 figure

Phase dynamics of ferromagnetic Josephson junctions

We have investigated the classical phase dynamics of underdamped ferromagnetic Josephson junctions by measuring the switching probability in both the stationary and nonstationary regimes down to 350 mK. We found the escape temperature to be the bath temperature, with no evidence of additional spin noise. In the nonstationary regime, we have performed a pump-probe experiment on the Josephson phase by increasing the frequency of the junction current bias. We show that an incomplete energy relaxation leads to dynamical phase bifurcation. Bifurcation manifests itself as premature switching, resulting in a bimodal switching distribution. We directly measure the phase relaxation time by following the evolution of the bimodal switching distribution when varying the bias frequency. Numerical simulations account for the experimental values of the phase relaxation time.Comment: 4 pages, 3 figure

Optimization of Collateral Value Distribution

Loan Loss Provisioning (LLP) is an amount of reserve that banks "put aside" to cover loss in case that loan goes in default, meaning that clients do not repay it. It is a safety buffer for preserving banks liquidity and capital adequacy. On the other hand, the Loan Loss Provisioning is a cost. In the Profit and Lost statement of banks, LLP decreases profit. It is a good tool/mechanism for risk management, but also expensive one, and that is why it is important for banks to optimize it in every possible way. The aim of optimization is to distribute collateral value to the connected loans, in a way to minimize amount of LLP. It can be done easily on a one loan level, but creating a universal algorithm that is applicable to all loans and all collaterals on the Bank portfolio level, is the goal to be achieved

Distribution of velocities and acceleration for a particle in Brownian correlated disorder: inertial case

We study the motion of an elastic object driven in a disordered environment in presence of both dissipation and inertia. We consider random forces with the statistics of random walks and reduce the problem to a single degree of freedom. It is the extension of the mean field ABBM model in presence of an inertial mass m. While the ABBM model can be solved exactly, its extension to inertia exhibits complicated history dependence due to oscillations and backward motion. The characteristic scales for avalanche motion are studied from numerics and qualitative arguments. To make analytical progress we consider two variants which coincide with the original model whenever the particle moves only forward. Using a combination of analytical and numerical methods together with simulations, we characterize the distributions of instantaneous acceleration and velocity, and compare them in these three models. We show that for large driving velocity, all three models share the same large-deviation function for positive velocities, which is obtained analytically for small and large m, as well as for m =6/25. The effect of small additional thermal and quantum fluctuations can be treated within an approximate method.Comment: 42 page

Coupled Superconducting Phase and Ferromagnetic Order Parameter Dynamics

Via a direct coupling between the magnetic order parameter and the singlet Josephson supercurrent, we detect spin-wave resonances, and their dispersion, in ferromagnetic Josephson junctions in which the usual insulating or metallic barrier is replaced with a weak ferromagnet. The coupling arises within the Fraunhofer interferential description of the Josephson effect, because the magnetic layer acts as a time dependent phase plate. A spin-wave resonance at a frequency ws implies a dissipation that is reflected as a depression in the current-voltage curve of the Josephson junction when hbar ws = 2eV. We have thereby performed a resonance experiment on only 10^7 Ni atoms.Comment: 4 pages, 4 figure

Composite excitation of Josephson phase and spin waves in Josephson junctions with ferromagnetic insulator

Coupling of Josephson-phase and spin-waves is theoretically studied in a superconductor/ferromagnetic insulator/superconductor (S/FI/S) junction. Electromagnetic (EM) field inside the junction and the Josephson current coupled with spin-waves in FI are calculated by combining Maxwell and Landau-Lifshitz-Gilbert equations. In the S/FI/S junction, it is found that the current-voltage (I-V) characteristic shows two resonant peaks. Voltages at the resonant peaks are obtained as a function of the normal modes of EM field, which indicates a composite excitation of the EM field and spin-waves in the S/FI/S junction. We also examine another type of junction, in which a nonmagnetic insulator (I) is located at one of interfaces between S and FI. In such a S/I/FI/S junction, three resonant peaks appear in the I-V curve, since the Josephson-phase couples to the EM field in the I layer.Comment: 16 pages, 5 figure

Resonant tunneling in short Josephson SFS junctions

Josephson effect in short ballistic SINIS and SIFIS double-tunnel junctions, consisting of clean superconductors (S), a normal metal (N) or metallic ferromagnet (F), and insulating interfaces (I) is studied. For SINIS double-tunnel junctions, sharp peaks in the critical Josephson current as a function of the junction width result from the resonant amplification of the Andreev process when the quasi-bound states enter the superconducting gap. For SIFIS double-tunnel junctions spin split quasi-bound states partially amplify the supercurrent and trigger the transitions between 0 and $\pi$ states of the junction. Instead of the critical current reaching a peak value (which happens when the Andreev states cross the Fermi surface in SINIS junctions), a narrow dip opens up exactly at the peak due to the compensation of partial currents flowing in opposite directions. This is related to the spin polarization of Andreev states and explains the coexistence of stable and metastable 0 and $\pi$ states in the vicinity of the transition. With increased barrier transparency, the described mechanism of $0-\pi$ transitions is modified by the broadening and overlapping of quasi-bound states (transmission resonances). Temperature-induced transitions both from 0 to $\pi$ and from $\pi$ to 0 states are studied by computing the phase diagram (temperature vs. junction width) for different interfacial transparencies varying from metallic (transparent) to the tunnel limit

NONTRIVIAL VARIATIONS OF MORPHO-ANATOMICAL LEAF TRAITS IN NATURAL SOUTH-EASTERN POPULATIONS OF VACCINIUM SPECIES FROM CENTRAL BALKANS

Morpho-anatomical characteristics of Vaccinium myrtillus, V. uliginosum and V. vitis-idaea leaves from several sites of the Central Balkans were examined. The aim of this study was to investigate for the first time morpho-anatomical leaf traits of these species in the studied populations and to identify traits that follow a specific trend along the gradients of climate factors. Leaf traits that discriminate Vaccinium species were as follows: Depth of the adaxial cuticule (AdC), thickness of the palisade tissue (PT), thickness of the spongy tissue (ST), height of the abaxial epidermal cells (AbE), height of the abaxial cuticule (AbC) and leaf thickness (LT). Populations of V. myrtillus were characterized by the smallest, and populations of V. vitis-idaea by the highest values for AdC, PT, ST, AbE and LT. Additionally, AbC was significantly larger for V. uliginosum in comparison to two other species. On the basis of morpho-anatomical traits, intraspecific variability of the studied species was explored by Principal Component Analysis (PCA), Cluster Analysis (CA) and Analysis of Variance (ANOVA). CA based on 10 morpho-anatomical traits showed that populations of V. myrtillus and V. uliginosum that grew at lower altitudes (characterized by higher mean annual temperature) are more similar to each other. Especially V. myrtillus was responsive to the elevational gradient and exhibited the highest plasticity in morpho-anatomical leaf traits. Populations of V. vitis-idaea had a different pattern of differentiation along the elevational gradient. CA showed that the populations at the lowest and at the highest altitudes were more similar according to the morpho-anatomical leaf traits, meaning that evergreen leaves were more resistant to environmental conditions. © Polish Academy of Sciences and Jagiellonian University, Cracow 2021