Angular distribution of neurons scattered in air from a monoenergetic isotropic point source

1970 ◽  
Vol 29 (2) ◽  
pp. 816-817
Author(s):  
V. F. Kokovikhin ◽  
N. A. Kondurushkin ◽  
V. Ya. Belovintsev ◽  
V. V. Barchugov
Keyword(s):  
Angular Distribution ◽  
Point Source ◽  
Isotropic Point

Uniqueness in reflector mappings and the Monge-Ampère equation

1981 ◽  
Vol 378 (1775) ◽  
pp. 529-538 ◽  
Keyword(s):  
Angular Distribution ◽  
Boundary Value Problem ◽  
Point Source ◽  
Uniqueness Theorem ◽  
Nonlinear Boundary ◽  
Far Field ◽  
Convexity Condition ◽  
Practical Application ◽  
Reflector Surface ◽  
Monge Ampere

A uniqueness theorem is presented for reflector mappings in the complex plane. These arise in geometrical optics, in the synthesis of a reflector surface to produce a ray beam with specified angular distribution of energy when illuminated by a non-isotropic point-source. The mappings may be represented as solutions of a nonlinear boundary-value problem involving the Monge-Ampère equation. When the equation is elliptic there are at most two solutions, provided that either the incident or far-field ray cone satisfies a convexity condition, which is always the case if one cone is circular. The result has practical application to the design of single and offset dual reflectors used for radar and communications purposes.

Excitation of a tube wave in a borehole by an external isotropic point source

2001 ◽  
Vol 47 (6) ◽  
pp. 654-658 ◽  
Author(s):  
P. M. Bokov ◽  
A. M. Ionov
Keyword(s):  
Point Source ◽  
Isotropic Point ◽  
Tube Wave

scholarly journals The Radiative Impact of FU Orionis Outbursts on Protostellar Envelopes

1997 ◽  
Vol 182 ◽  
pp. 407-416
Author(s):  
K. R. Bell ◽  
K. M. Chick
Keyword(s):  
Point Source ◽  
Accretion Disk ◽  
Large Scale ◽  
Polar Axis ◽  
Equilibrium Structure ◽  
Young Stellar Objects ◽  
Stellar Objects ◽  
Circumstellar Material ◽  
Isotropic Point ◽  
Radiative Impact

We present preliminary results of an investigation into the radiative impact of FU Orionis outbursts on protostellar envelopes. In the thermal accretion disk instability model, the inner portion of the disk is inflated in such a way as to funnel most of the outburst luminosity along the poles of the system. A multidimensional radiative transfer code is employed to derive the thermal equilibrium structure of the surrounding protostellar envelope and the backheated accretion disk during outburst. The radiation emitted during outburst is modeled as a combination of a self-luminous accretion disk and a central point source. We compare the relative heating of circumstellar material due to (1) an isotropic point source and (2) an anisotropic point source in which the emitted radiation is confined to a 30° cone about the polar axis. The isotropic point source creates a spherical dust cavity, while the anisotropic source naturally results in a cavity which is hourglass-shaped. Repeated outbursts may ultimately be responsible for the large-scale polar cavities commonly inferred to exist around young stellar objects. We also show that due to the anisotropy of the radiation expected during outburst, disk annuli within a few au will be shielded from the radiation of the outburst.

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