Convexity, C-convexity and Pseudoconvexity

Николай М. Николов - Разгледани са характеризации на различни понятия за изпъкналост, като тези понятия са сравнени.

New Hardy-Type Inequalities with Singular Weights

2010 Mathematics Subject Classification: 26D10.

The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form

2000 Mathematics Subject Classification: 35J70, 35P15.

Light scattering study of human serum albumin in pre-denaturation:relation to dynamic transition in water at 42°C

Protein functional motions are ultimately connected to water dynamics. The goal of this study is to link the conformational dynamics of albumin to a dynamic transition taking place at ∼ 42°C in water. We report the results of dynamic light scattering measurements of albumin aqueous solution in the temperature interval 20-65°C. The processing of the experimental data produced the temperature dependence of the macromolecular hydrodynamic radius. We demonstrate that the growth of the macromolecular size in this temperature range can be divided into two stages that are connected to the dynamical properties of water. © 2012 Elsevier B.V. All rights reserved.

Extended program notes for thesis recital

Chaconne, Transcription for Piano in D minor J.S. Bach (arr. Ferruccio Busoni) Reflets dans l'eau from Images, Book 1 Claude Debussy A la Albeniz Rodion Shchedrin Basso Ostinato from Two Polyphonic Pieces Sonata-Reminiscenza, Op. 38, No. 1 Nikolai Medtner Die Loreley, S. 532 Franz Liszt Hungarian Rhapsody No. 6

Broadly tunable dual-wavelength InAs/GaAs quantum-dot laser for THz generation

We demonstrate an ultra-compact, room-Temperature, continuous-wave, broadly-Tunable dual-wavelength InAs/GaAs quantum-dot external-cavity diode laser in the spectral region between 1150 nm and 1301 nm with maximum output power of 280 mW. This laser source generating two modes with tunable difference-frequency (300 GHz-30 THz) has a great potential to replace commonly used bulky lasers for THz generation in photomixer devices.

Flat-top supercontinuum and tunable femtosecond fiber laser sources at 1.9-2.5 μm

We report the high-energy flat-top supercontinuum covering the mid-infrared wavelength range of 1.9-2.5 μm as well as electronically tunable femtosecond pulses between 1.98-2.22 μm directly from the thulium-doped fiber laser amplifier. Comparison of experimental results with numerical simulations confirms that both sources employ the same nonlinear optical mechanism - Raman soliton frequency shift occurring inside the Tm-fiber amplifier. To illustrate that, we investigate two versions of the compact diode-pumped SESAM mode-locked femtosecond thulium-doped all-silica-fiber-based laser system providing either broadband supercontinuum or tunable Raman soliton output, depending on the parameters of the system. The first system operates in the Raman soliton regime providing femtosecond pulses tunable between 1.98-2.22 μm. Wide and continuous spectral tunability over 240 nm was realized by changing only the amplifier pump diode current. The second system generates high-energy supercontinuum with the superior spectral flatness of better than 1 dB covering the wavelength range of 1.9-2.5 μm, with the total output energy as high as 0.284 μJ, the average power of 2.1 W at 7.5 MHz repetition rate. We simulate the amplifier operation in the Raman soliton self-frequency shift regime and discuss the role of induced Raman scattering in supercontinuum formation inside the fiber amplifier. We compare this system with a more traditional 1.85-2.53 μm supercontinuum source in the external highly-nonlinear commercial chalcogenide fiber using the Raman soliton MOPA as an excitation source. The reported systems1 can be readily applied to a number of industrial applications in the mid-IR, including sensing, stand-off detection, medical surgery and fine material processing.