Wave scattering theory and the absorption problem for a black hole

1977 ◽  
Vol 16 (4) ◽  
pp. 937-945 ◽  
Author(s):  
Norma Sánchez
Keyword(s):  
Black Hole ◽  
Scattering Theory ◽  
Wave Scattering

scholarly journals Electromagnetic wave scattering on imperfect cloaking devices

2008 ◽  
Vol 40 (3) ◽  
pp. 245-250
Author(s):  
G. Isic ◽  
A. Beltaos ◽  
R. Gajic ◽  
K. Hingerl
Keyword(s):  
Electromagnetic Wave ◽  
Scattering Theory ◽  
Wave Scattering ◽  
Singular Values ◽  
Shell Material ◽  
Electromagnetic Wave Scattering ◽  
Material Parameters ◽  
Full Wave ◽  
Overall Performance ◽  
Theoretical Results

Cloaking devices based on the coordinate transform approach enable, in principle, a perfect concealment of a region in space provided that the material composing the cloaking shell meets certain criteria. To achieve ideal cloaking it is necessary that the shell material parameters have singular values on the surface bounding the cloaked region which is unphysical. In this paper we assume finite values of cloak parameters and apply the scattering theory formalism to give an estimate of the overall performance of an 'imperfect' cloak. We perform full-wave numerical calculations and use our theoretical results to discuss them.

scholarly journals THE VIRTUAL BLACK HOLE IN 2D QUANTUM GRAVITY AND ITS RELEVANCE FOR THE S-MATRIX

2002 ◽  
Vol 17 (06n07) ◽  
pp. 989-992 ◽  
Author(s):  
DANIEL GRUMILLER
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Wave Scattering ◽  
Black Hole Mass ◽  
Hole Formation ◽  
S Wave ◽  
Scalar Matter ◽  
S Matrix ◽  
Tree Vertex ◽  
Classical Mechanism

As shown recently 2d quantum gravity theories — including spherically reduced Einstein-gravity — after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical mechanism of black hole formation should be contained in the tree approximation of the theory. This is shown to be the case for the scattering of two scalars through an intermediate state which by its effective black hole mass is identified as a "virtual black hole". We discuss the lowest order tree vertex for minimally and non-minimally coupled scalars and find a non-trivial finite S-matrix for gravitational s-wave scattering in the latter case.

Scattering Theory

2019 ◽  
pp. 359-400
Author(s):  
P.J.E. Peebles
Keyword(s):  
Partial Wave ◽  
Interaction Potential ◽  
Scattering Theory ◽  
Wave Scattering ◽  
Wave Packets ◽  
Particle Separation ◽  
Partial Wave Analysis ◽  
Wave Analysis ◽  
Scattering Problems ◽  
Scattering Pattern

This chapter studies applications drawn from scattering theory. A powerful and commonly used way to explore the interaction between particles is to study the way they scatter off each other. In the scattering problems considered here, motions are non-relativistic and particles are conserved: two particles move together, interact, and then move apart again. It is assumed that the range of the interaction is finite, so when the particles are well separated they move freely. In a scattering experiment, one imagines that the particles approach each other as wave packets with fairly definite momenta and positions. The motion is initially free, because the particles are separated by great distances compared to the range of their interaction. As the wave packets move together, the particles interact through a potential V that is some function of the particle separation. The wave packets then move apart in a scattering pattern that is determined by the interaction potential. The chapter simplifies the partial wave analysis by concentrating on s-wave scattering; this allows an easy treatment of interesting effects such as resonances and absorption.

Sign in / Sign up

Export Citation Format

Share Document