THE ESCAPE PROBABILITIES FOR SLAB AND SPHERICAL GEOMETRIES IN PLASMA SPECTROSCOPY

2012 ◽  
Vol 26 (30) ◽  
pp. 1250165
Author(s):  
JIAN HE
Keyword(s):  
Transmission Factor ◽  
Infinite Plane ◽  
Plasma Spectroscopy ◽  
Escape Probability ◽  
Plane Parallel ◽  
Lorentzian Profile ◽  
Escape Probabilities

In this paper, the concepts of the photon escape probability and the transmission factor are reviewed and the photon escape probabilities for infinite plane-parallel slab and spherical geometries are discussed. The photon escape probabilities using the transmission factor, for Lorentzian profile and Holtsmarkian profile, are discussed. Finally, the photon escape probabilities we calculated are compared with that calculated using before method for Lorentzian profile and Holtsmarkian profile, and some useful conclusions are drawn.

Photon escape probabilities in a semi-infinite plane-parallel medium

1984 ◽  
Vol 276 ◽  
pp. 691
Author(s):  
A. C. Williams ◽  
R. F. Elsner ◽  
M. C. Weisskopf ◽  
W. Darbro
Keyword(s):  
Infinite Plane ◽  
Plane Parallel ◽  
Escape Probabilities

scholarly journals The diffraction of sound pulses IV. On a paradox in the theory of reflexion

1946 ◽  
Vol 186 (1006) ◽  
pp. 356-367 ◽  
Keyword(s):  
Detailed Examination ◽  
Simple Theory ◽  
Incident Pulse ◽  
Infinite Plane ◽  
Plane Parallel ◽  
Finite Distance ◽  
Limiting Case ◽  
Sound Pulses

Sommerfeld’s theory of diffraction, which has been discussed in detail in the preceding papers, is here applied to the elucidation of a certain paradox—the doubling of pressure at an infinite reflecting plane parallel to which a pulse is travelling, which is obtained if this is considered as a limiting case of reflexion. It is suggested that this paradox is an indication that the simple theory of the reflexion of plane pulses by an infinite plane, which is in any case only an approximation applying to parts of a reflector far removed from the edges, breaks down when the angle between the direction of propagation* of the incident pulse and the reflector becomes small. A detailed examination of the reflexion of plane pulses by a semiinfinite screen shows that when this angle becomes small, the diffracted pulse which emanates from the edge of the screen must be taken into account, so that the region in which the simple theory holds as an approximation moves away from the edge. In the limit, when the incident pulse travels parallel to the screen, the simple theory must be rejected at all points at a finite distance from the edge. Further examples of this mechanism are given by the reflexion of pulses by infinite wedges, some cases of which are also considered.

scholarly journals The Critical Frequency in the Stellar Pulsation Theory

1980 ◽  
Vol 58 ◽  
pp. 413-417
Author(s):  
Mine Takeuti
Keyword(s):  
Critical Period ◽  
Critical Frequency ◽  
Infinite Plane ◽  
Large Radius ◽  
Instability Strip ◽  
Plane Parallel ◽  
Stellar Pulsation ◽  
Running Wave

AbstractThe standing oscillation in an isothermal semi-infinite plane-parallel atmosphere has a critical frequency. The significance of critical frequency in the stellar pulsation is discussed briefly. The critical period is calculated for the cepheid instability strip. A star having relatively large radius compared with the mass should be examined by the criterion. The pulsational instability is reduced by the linear running wave.

scholarly journals The Hard X-ray Reflection on Cold Matter

1994 ◽  
Vol 159 ◽  
pp. 348-348
Author(s):  
E. Jourdain ◽  
J.P. Roques
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Cross Sections ◽  
Infinite Plane ◽  
Solar Abundance ◽  
X Ray ◽  
Direct Component ◽  
Plane Parallel ◽  
Γ Ray ◽  
Cold Matter

We have simulated the reflection on cold matter in a variety of situations to determine which informations can actually be inferred from observations. We modelled a semi-infinite plane parallel medium of solar abundance matter, semi-isotropically illuminated by a X/γ ray source. The spectra are calculated from a Monte-Carlo method without any approximation in the cross-sections. Θ is the angle over which the reflecting matter is seen (90°=face-on), Θ=all means a spatially integrated spectrum. Fref is the ratio of the reflected over direct component.

The Principle of Invariance and Non-coherent Scattering

1970 ◽  
Vol 1 (8) ◽  
pp. 383-384
Author(s):  
J. N. Holt
Keyword(s):  
Coherent Scattering ◽  
Incident Radiation ◽  
Infinite Plane ◽  
Line Centre ◽  
Absorption And Emission ◽  
Plane Parallel ◽  
Scattering Factor ◽  
Isothermal Atmosphere

The purpose of this paper is to obtain an expression for the reflecting properties of a semi-infinite, plane parallel, isothermal atmosphere of scattering factor λ. The absorption and scattering of the incident radiation is assumed to be entirely due to transitions in two-level atoms, and the absorption and emission profiles are given by <f>(y), y being frequency from line centre in Doppler units.

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