The solid angle subtended at a point by a circular disk

1969 ◽  
Vol 73 (2) ◽  
pp. 228-230 ◽  
Author(s):  
R.P. Gardner ◽  
A. Carnesale
Keyword(s):  
Geophysics ◽  
1977 ◽  
Vol 42 (1) ◽  
pp. 111-113 ◽  
Author(s):  
Shri Krishna Singh

The vertical component of gravitational attraction [Formula: see text] of a circular disk is of some interest in geophysics since it can be used to obtain attraction of 3-D bodies whose parallel sections are circular and also since the solid angle Ω subtended by a disc at any point is proportional to [Formula: see text] at the same point (Ramsey, 1940, p. 36). Solid angles may be needed in some diffraction calculations in exploration seismology (see, e.g., Hilterman, 1975). It is clear, however, that in calculation of attraction from 3-D bodies, approximation of the cross‐sections by a polygon (Talwani and Ewing, 1960) has wider application.


1959 ◽  
Vol 30 (10) ◽  
pp. 950-950 ◽  
Author(s):  
A. V. Masket
Keyword(s):  

Author(s):  
N. J. Zaluzec

The ultimate sensitivity of microchemical analysis using x-ray emission rests in selecting those experimental conditions which will maximize the measured peak-to-background (P/B) ratio. This paper presents the results of calculations aimed at determining the influence of incident beam energy, detector/specimen geometry and specimen composition on the P/B ratio for ideally thin samples (i.e., the effects of scattering and absorption are considered negligible). As such it is assumed that the complications resulting from system peaks, bremsstrahlung fluorescence, electron tails and specimen contamination have been eliminated and that one needs only to consider the physics of the generation/emission process.The number of characteristic x-ray photons (Ip) emitted from a thin foil of thickness dt into the solid angle dΩ is given by the well-known equation


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