Relying on the assumption that the interchange convection of magnetic flux tubes is the physical cause for the existence of sunspot penumbrae, we propose a model in which the dynamical evolution of a thin magnetic flux tube reproduces the Evershed effect and the penumbral fine structure such as bright and dark filaments and penumbral grains. According to our model, penumbral grains are the manifestation of the footpoints of magnetic flux tubes, along which hot subphotospheric plasma flows upwards with a few km/s. Above the photosphere the hot plasma inside the tube is cooled by radiative losses as it flows horizontally outwards. As long as the flowing plasma is hotter than the surroundings, it constitutes a bright radial filament. The flow confined to a thin elevated channel reaches the temperature equilibrium with the surrounding atmosphere and becomes optically thin near the outer edge of the penumbra. Here, the tube has a height of approximately 100 km above the continuum and the flow velocity reaches up to 14 km/s. Such a flow channel can reproduce the observed signatures of the Evershed effect.

No abstract

Isolation of individual cells from a heterogeneous cell population is an invaluable step in the analysis of single cell properties. The demands in molecular and cellular biology as well as molecular medicine are the selection, isolation, and monitoring of single cells and cell clusters of biopsy material. Of particular interest are methods which complement a passive optical or spectroscopic selection with a variety of active single cell processing techniques such as mechanical, biochemical, or genetic manipulation prior to isolation. Sophisticated laser-based cell processing systems are available which can perform single cell processing in a contact-free and sterile manner. Until now, however, these multipurpose turnkey systems offer only basic micromanipulation and are not easily modified or upgraded, whereas laboratory situations often demand simple but versatile and adaptable solutions. We built a flexible laser micromanipulation platform combining contact-free microdissection and catapulting capabilities using a pulsed ultraviolet (337nm) laser with simultaneous generation of optical tweezing forces using a continuous wave infrared (1064nm) laser. The potential of our platform is exemplified with techniques such as local laser-induced injection of biomolecules into individual living cells, laser surgery, isolation of single cells by laser catapulting, and control of neuronal growth using optical gradient forces. Arbitrary dynamic optical force patterns can be created by fast laser scanning with acousto-optical deflectors and galvanometer mirrors, allowing multibeam contact-free micromanipulation, a prerequisite for reliable handling of material in laboratory-on-a-chip applications. All common microscopy techniques can be used simultaneously with the offered palette of micromanipulation methods. Taken together, we show that advanced optical micromanipulation systems can be designed which combine quality, cost efficiency, and adaptability.

We propose a novel basis of vector functions, the mixed vector spherical harmonics that are closely related to the functions of Sheppard and Török and help us reduce the concentration problem of tangential vector fields within a spherical cap to an equivalent scalar problem. Exploiting an analogy with previous results published by Grünbaum and his colleagues, we construct a differential operator that commutes with the concentration operator of this scalar problem and propose a stable and convenient method to obtain its eigenfunctions. Having obtained the scalar eigenfunctions, the calculation of tangential vector Slepian functions is straightforward.

No abstract