Remarks on the Gaussian formula for refraction at a single spherical interface

1992 ◽  
Vol 60 (2) ◽  
pp. 131-135 ◽  
Author(s):  
V. Greco ◽  
G. Molesini ◽  
F. Quercioli
Keyword(s):  
Spherical Interface ◽  
Gaussian Formula

MHD waves at a spherical interface modelling EIT waves

2007 ◽  
Vol 328 (8) ◽  
pp. 769-772 ◽  
Author(s):  
M. Douglas ◽  
I. Ballai
Keyword(s):  
Mhd Waves ◽  
Spherical Interface

Electrowetting-actuated zoom lens with spherical-interface liquid lenses

2008 ◽  
Vol 25 (11) ◽  
pp. 2644 ◽  
Author(s):  
Runling Peng ◽  
Jiabi Chen ◽  
Songlin Zhuang
Keyword(s):  
Zoom Lens ◽  
Liquid Lenses ◽  
Spherical Interface

scholarly journals MHD waves at a spherical interface modelling coronal global EIT waves

2007 ◽  
Vol 3 (S247) ◽  
pp. 251-254
Author(s):  
M. Douglas ◽  
I. Ballai
Keyword(s):  
Magnetic Field ◽  
Coronal Mass Ejections ◽  
Solar Radius ◽  
Mhd Waves ◽  
Density Interface ◽  
Spherical Interface ◽  
Coronal Dimming

AbstractEnergetically eruptive events such as flares and coronal mass ejections (CMEs) are known to generate global waves, propagating over large distances, sometimes comparable to the solar radius. In this contribution EIT waves are modelled as waves propagating at a spherical density interface in the presence of a radially expanding magnetic field. The generation and propagation of EIT waves is studied numerically for coronal parameters. Simple equilibria allow the explanation of the coronal dimming caused by EIT waves as a region of rarified plasma created by a siphon flow.

Interfacial Dynamics of Water-in-Oil Dropliets: a Temperature-Jump Investigation

1992 ◽  
Vol 290 ◽  
Author(s):  
Paschalis Alexandridis ◽  
Josef F. Holzwarth ◽  
T. Alan Hatton
Keyword(s):  
Initial Temperature ◽  
Temperature Jump ◽  
Salt Content ◽  
Time Interval ◽  
Bending Rigidity ◽  
Bending Modulus ◽  
System Equilibrium ◽  
Shape Perturbation ◽  
Laser Temperature Jump ◽  
Spherical Interface

AbstractThe dynamic response of water-in-oil AOT microemulsion droplets to perturbations caused by rapid energy transfer has been interpreted in terms of the surfactant interface bending rigidity. The Iodine Laser Temperature Jump technique was used to rapidly (1 μs) increase the microemulsion temperature and thus disturb the system equilibrium. The dynamic relaxation to the new equilibrium position was monitored by measuring the turbidity of the microemulsion over a I ms time interval immediately after the temperature jump. The rate and direction of the turbidity change depended on the initial temperature, size and salt content of the water droplets. We observed characteristic times of 2 to 10 μs and attributed them to the relaxation of the surfactant interface. A bending modulus of 0.4 kT was derived for the AOT interface, using a model for the shape perturbation of a spherical interface.

Local spherical interface approximation in the analysis of field propagation through modulated interfaces

2004 ◽  
Author(s):  
Hanna Lajunen ◽  
Jani Tervo ◽  
Tuomas Vallius ◽  
Jari Turunen ◽  
Frank Wyrowski
Keyword(s):  
Spherical Interface

Reflection and Transmission of Elastic-Plastic Spherical Waves at a Spherical Interface

1975 ◽  
Vol 42 (4) ◽  
pp. 837-841 ◽  
Author(s):  
M. G. Srinivasan
Keyword(s):  
Shock Wave ◽  
Spherical Wave ◽  
Acceleration Wave ◽  
Wave Fronts ◽  
Reflection And Transmission ◽  
Elastic Plastic ◽  
Spherical Waves ◽  
The Many ◽  
Discontinuity Conditions ◽  
Spherical Interface

When a spherical wave is incident on a spherical interface of two different elastic-plastic, rate-independent materials, which of the many different admissible cases of reflection and transmission will actually occur must be determined in order to extend any numerical solution for subsequent times. An analytical method for this determination in terms of the known solution for times just prior to the incidence of the wave is outlined. The wave considered may be either an acceleration wave or a shock wave. The discontinuity conditions across the wave fronts and the continuity of displacement at the interface form the basis of this method and examples are given for illustration.

Simulation of light propagation by local spherical interface approximation

2003 ◽  
Vol 42 (34) ◽  
pp. 6804 ◽  
Author(s):  
Hanna Lajunen ◽  
Jani Tervo ◽  
Jari Turunen ◽  
Tuomas Vallius ◽  
Frank Wyrowski
Keyword(s):  
Light Propagation ◽  
Spherical Interface

DIVERGENCE RESULTS FOR SELF-INTERSECTION LOCAL TIMES OF GAUSSIAN ${\mathscr S}' ({\mathbb R}^d)$-PROCESSES

2001 ◽  
Vol 04 (04) ◽  
pp. 417-488 ◽  
Author(s):  
ANNA TALARCZYK
Keyword(s):  
Local Time ◽  
Necessary Conditions ◽  
Particle Systems ◽  
The Self ◽  
Local Times ◽  
Intersection Local Time ◽  
Convergence In Law ◽  
Stable Particle ◽  
Gaussian Formula ◽  
Intersection Local Times

For various types of Gaussian [Formula: see text]-processes we consider the case when the self-intersection local time (SILT) does not exist. We study the rate of divergence of the corresponding approximating processes obtaining, after suitable normalizations convergence in law to some [Formula: see text]-valued processes (not necessarily Gaussian). We also obtain some new necessary conditions for the existence of SILT. We give examples associated with fluctuation limits of α-stable particle systems.

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