FIELD MEASUREMENTS WITHIN A LARGE RESONANT CAVITY BASED ON THE PERTURBATION THEORY

2014 ◽  
Vol 57 ◽  
pp. 1-20
Author(s):  
Mohamed Nasserdine ◽  
Stephanie Mengue ◽  
Christophe Bourcier ◽  
Elodie Richalot
Keyword(s):  
Perturbation Theory ◽  
Resonant Cavity ◽  
Field Measurements

A 5 GHz Resonant Cavity for Complex Permittivity Measurements: Design, Test Performances and Application

2006 ◽  
Vol 514-516 ◽  
pp. 1561-1565 ◽  
Author(s):  
Luís Cadillon Costa ◽  
Susana Devesa ◽  
François Henry
Keyword(s):  
Perturbation Theory ◽  
Quality Factor ◽  
Small Perturbation ◽  
Complex Permittivity ◽  
Resonant Cavity ◽  
Cavity Resonator ◽  
Finite Conductivity ◽  
Theoretical Treatment ◽  
Resonance Frequencies ◽  
5 Ghz

The theoretical treatment of a cavity resonator consists of solving the Maxwell equations in that cavity, respecting the boundary conditions. The resonance frequencies appear as conditions in the solutions of the differential equation involved and are not significantly affected by the fact that the cavity walls have a finite conductivity. Solutions for rectangular cavities and for the lowest resonant mode, where the probability of mistaking one mode from another is slight, are readily obtained. The measurement of the complex permittivity, ε* = ε´-iε´´, can be made using the small perturbation theory. In this method, the resonance peak frequency and the quality factor of the cavity, with and without a sample, can be used to obtain the complex dielectric permittivity of the material. We measure the shift in the resonant frequency of the cavity, f, caused by the insertion of the sample, which can be related to the real part of the complex permitivitty, ε´, while the change in the inverse of the quality factor of the cavity, (1/Q), gives the imaginary part, ε´´. In this work we report the construction details, the performance tests of the cavity to confirm the possibility of the use of the small perturbation theory, and the application of the technique to measure the complex permittivity of a reinforced plastic.

scholarly journals Resonant‐Cavity Field Measurements

1955 ◽  
Vol 26 (5) ◽  
pp. 618-621 ◽  
Author(s):  
S. W. Kitchen ◽  
A. D. Schelberg
Keyword(s):  
Resonant Cavity ◽  
Field Measurements ◽  
Cavity Field

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

79. Comparison of Benzene-Specific Field Measurements at Oil Refineries

1999 ◽  
Author(s):  
W.R. Haag ◽  
P. Owens ◽  
D. Mayszak ◽  
J. Katona ◽  
B. Mangilin ◽  
...  
Keyword(s):  
Field Measurements ◽  
Oil Refineries ◽  
Specific Field

Energy, Information, and Superluminal Speed in Quantum Electrodynamics

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Perturbation Theory ◽  
Quantum Electrodynamics ◽  
Excited Atom ◽  
Standard Quantum ◽  
Energy Information

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.

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