THE GREEN FUNCTION OF A MACROSCOPIC ELECTROMAGNETIC FIELD IN A DISPERSIVE PLANE-STRATIFIED ANISOTROPIC MEDIUM

1984 ◽  
Vol 45 (C5) ◽  
pp. C5-305-C5-309 ◽  
Author(s):  
Ya. A. Iosilevskii
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Anisotropic Medium ◽  
The Green Function

A reexamination of the Green function treatment of the Mollow problem

1985 ◽  
Vol 63 (2) ◽  
pp. 139-143 ◽  
Author(s):  
D. A. Hutchinson
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Excitation Spectrum ◽  
Function Method ◽  
Equations Of Motion ◽  
Green Function Method ◽  
Infinite Hierarchy ◽  
Level Atom ◽  
The Green Function

The application of the Green function method to the Mollow problem is reconsidered. This problem consists of an intense monochromatic electromagnetic field in resonance with a two-level atom. We obtain a solution to the infinite hierarchy of Green function equations of motion instead of decoupling the equations of motion. This solution gives an excitation spectrum in agreement with Mollow's results. We conclude that earlier discrepancies in the excitation spectrum were artifacts of the decoupling procedure. Finally, we comment upon the physical ideas associated with the present and previous Green function treatments of the Mollow problem.

The Electron and the Muon as Eigensolutions of the Quantum Electromechanics under the Green-Function δ (x2 + l2)

1973 ◽  
Vol 28 (3-4) ◽  
pp. 408-416 ◽  
Author(s):  
Fritz Bopp ◽  
Werner Lutzenberger
Keyword(s):  
Electromagnetic Field ◽  
Mass Spectrum ◽  
Green Function ◽  
Degrees Of Freedom ◽  
Life Time ◽  
Bare Mass ◽  
Mass Ratio ◽  
Classical Motion ◽  
The Green Function ◽  
Quantum Electromechanics

AbstractReplacing the Green function of Maxwell's electrodynamics δ(x2) by δ(x2 + l2) we obtain a Hamiltonian with a finite number of degrees of freedom for the classical motion of a pointcharge in its own electromagnetic field. After quantization we obtain a mass spectrum if we assume that a nonelectrodynamic bare mass M exists. The spectral terms are S1/2 , P1/2; P3/2 , D3/2; D5/2 etc. (k = +1, -1; +2, -2; +3 ...). It is possible to fit the length l in the Green function and the mass M so that the mass ratio of the lowest terms becomes m (P1/2)/m(S1/2) = mμ/me . We then get: l =4,896 · 10-91 ħ/mp c, M = 15,32mp . Hence the deviation from Maxwell's electrodynamic is extremely small, but not zero, and heavy leptons should exist near m = | M | . Some further leptonic states exist with masses similar to that of the muon. All states, those of the electron and the muon excepted, are γ-instable (life time 10-17 sec. resp. 10-26 sec.).

Unusual Properties of Anisotropic Magnetodielectric Metamaterials

2014 ◽  
Vol 1082 ◽  
pp. 46-50
Author(s):  
Yun Xia Dong ◽  
Chun Ying Liu
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Layer Structure ◽  
Single Layer ◽  
Input Output ◽  
Anisotropic Metamaterials ◽  
Polarized Waves ◽  
Linearly Polarized ◽  
The Green Function ◽  
Green Function Approach

A phenomenological quantization of electromagnetic field is introduced in the presence of the anisotropic magnetodielectric metamaterials. For a single layer structure with the anisotropic metamaterials, input-output relations are derived using the Green-function approach. Based on these relations, the reflectance of the linearly polarized wave through this structure is calculated. The results show different reflectance for different polarized waves and indicate an application of the anisotropic metamaterials to be the reflectors for certain polarized wave. Furthermore it is found that such a structure can realize the resonant gap with the increase of the thickness. Finally the effects of the absorption are considered and we find that the above properties do not change with introduction of the absorption.

Exponentially Convergent Approximation to the Elliptic Solution Operator

2006 ◽  
Vol 6 (4) ◽  
pp. 386-404 ◽  
Author(s):  
Ivan. P. Gavrilyuk ◽  
V.L. Makarov ◽  
V.B. Vasylyk
Keyword(s):  
Green Function ◽  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Solution Operator ◽  
Hyperbolic Operator ◽  
Elliptic Solution ◽  
Elliptic Boundary Value ◽  
Sine Family ◽  
The Green Function

AbstractWe develop an accurate approximation of the normalized hyperbolic operator sine family generated by a strongly positive operator A in a Banach space X which represents the solution operator for the elliptic boundary value problem. The solution of the corresponding inhomogeneous boundary value problem is found through the solution operator and the Green function. Starting with the Dunford — Cauchy representation for the normalized hyperbolic operator sine family and for the Green function, we then discretize the integrals involved by the exponentially convergent Sinc quadratures involving a short sum of resolvents of A. Our algorithm inherits a two-level parallelism with respect to both the computation of resolvents and the treatment of different values of the spatial variable x ∈ [0, 1].

The Green function method for the two-surface problem

1970 ◽  
Vol 8 (13) ◽  
pp. 1069-1071 ◽  
Author(s):  
F. Flores ◽  
F. Garcia-Moliner ◽  
J. Rubio
Keyword(s):  
Green Function ◽  
Function Method ◽  
Green Function Method ◽  
The Green Function

Electrostatic oscillations in cold inhomogeneous plasma I. Differential equation approach

1971 ◽  
Vol 5 (2) ◽  
pp. 239-263 ◽  
Author(s):  
Z. Sedláček
Keyword(s):  
Differential Equation ◽  
Green Function ◽  
Normal Mode Analysis ◽  
Inhomogeneous Plasma ◽  
Mode Analysis ◽  
Complex Frequency ◽  
Plasma Oscillations ◽  
The Laplace Transform ◽  
Collective Oscillations ◽  
The Green Function

Small amplitude electrostatic oscillations in a cold plasma with continuously varying density have been investigated. The problem is the same as that treated by Barston (1964) but instead of his normal-mode analysis we employ the Laplace transform approach to solve the corresponding initial-value problem. We construct the Green function of the differential equation of the problem to show that there are branch-point singularities on the real axis of the complex frequency-plane, which correspond to the singularities of the Barston eigenmodes and which, asymptotically, give rise to non-collective oscillations with position-dependent frequency and damping proportional to negative powers of time. In addition we find an infinity of new singularities (simple poles) of the analytic continuation of the Green function into the lower half of the complex frequency-plane whose position is independent of the spatial co-ordinate so that they represent collective, exponentially damped modes of plasma oscillations. Thus, although there may be no discrete spectrum, in a more general sense a dispersion relation does exist but must be interpreted in the same way as in the case of Landau damping of hot plasma oscillations.

Sign in / Sign up

Export Citation Format

Share Document