NEGATIVE ELECTROMAGNETIC SCREENING BY A CYLINDRICAL CONDUCTING COVER

Geophysics ◽  
1969 ◽  
Vol 34 (6) ◽  
pp. 944-957 ◽  
Author(s):  
Janardan G. Negi ◽  
Upendra Raval
Keyword(s):  
Numerical Evaluation ◽  
Inner Core ◽  
Electromagnetic Response ◽  
Spherical Case ◽  
Cylindrical Model ◽  
Cylindrical System ◽  
Screening Factor ◽  
Analytical Expressions ◽  
Electromagnetic Screening

The paradoxical augmentation of the electromagnetic response of an inner core by a conducting cover is reexamined by investigating the behavior of a cylindrical model to establish the geometrical independence of the negative screening phenomenon. The theory is developed for the coaxial cylindrical system in analogy with the spherical case. Results of numerical evaluation of the analytical expressions for the screening factor prove the geometrical independence of the phenomenon of negative screening, as indicated in earlier studies.

The matrix M/M/∞ system: retrial models and Markov Modulated sources

1993 ◽  
Vol 25 (2) ◽  
pp. 453-471 ◽  
Author(s):  
J. Keilson ◽  
L. D. Servi
Keyword(s):  
Numerical Evaluation ◽  
Stability Conditions ◽  
Kummer Functions ◽  
The Matrix ◽  
Service Rates ◽  
System Properties ◽  
Markov Modulated ◽  
The Stability ◽  
Analytical Expressions

The matrix-geometric work of Neuts could be viewed as a matrix variant of M/M/1. A 2 × 2 matrix counterpart of Neuts for M/M/∞ is introduced, the stability conditions are identified, and the ergodic solution is solved analytically in terms of the ten parameters that define it. For several cases of interest, system properties can be found from simple analytical expressions or after easy numerical evaluation of Kummer functions. When the matrix of service rates is singular, a qualitatively different solution is derived. Applications to telecommunications include some retrial models and an M/M/∞ queue with Markov-modulated input.

scholarly journals A simplified analytical approach to calculation of the electromagnetic behavior of left-handed metamaterials with a graded refractive index profile

2007 ◽  
Vol 39 (2) ◽  
pp. 185-191 ◽  
Author(s):  
N. Dalarsson ◽  
M. Maksimovic ◽  
Z. Jaksic
Keyword(s):  
Refractive Index ◽  
Numerical Solutions ◽  
Negative Refractive Index ◽  
Refractive Index Profile ◽  
Electromagnetic Response ◽  
Reflection And Transmission ◽  
New Class ◽  
Left Handed ◽  
Analytical Expressions ◽  
Positive Index

We investigated the spectral properties of a new class of nanostructured artificial composite materials with tailored electromagnetic response, i.e. negative refractive index materials, also known as "left-handed" metamaterials. We analyzed structures incorporating both ordinary positive index media and negative refractive index metamaterials where the interface may be graded to an arbitrary degree. Utilizing a modified version of the Rosen-Morse function, we derived analytical expressions for the field intensity and spectral reflection and transmission through a graded interface between positive and negative index materials. We compared our results to numerical solutions obtained using the transfer matrix technique. .

On: “On the Effects of Overburden on EM Anomalies—A Review” by Amalendu Roy (GEOPHYSICS, August 1970, p. 646–659)

Geophysics ◽  
1971 ◽  
Vol 36 (1) ◽  
pp. 216-217
Author(s):  
James R. Wait
Keyword(s):  
Electromagnetic Response ◽  
Conducting Sphere ◽  
Screening Factor

In a grossly inaccurate discussion, Roy (1970) criticizes my analysis of screening factors for the electromagnetic response of a conducting sphere (Wait, 1969). The screening factor [Formula: see text] was clearly defined in my paper as the ratio of two specified quantities.

scholarly journals THE CLASS OF NONLINEAR STOCHASTIC MODELS AS A BACKGROUND FOR THE BURSTY BEHAVIOR IN FINANCIAL MARKETS

2012 ◽  
Vol 15 (supp01) ◽  
pp. 1250071 ◽  
Author(s):  
VYGINTAS GONTIS ◽  
ALEKSEJUS KONONOVICIUS ◽  
STEFAN REIMANN
Keyword(s):  
Financial Markets ◽  
Stochastic Models ◽  
Numerical Evaluation ◽  
First Passage Time ◽  
Passage Time ◽  
Bessel Process ◽  
Proposed Model ◽  
Nonlinear Stochastic Model ◽  
Bursty Behavior ◽  
Analytical Expressions

We investigate behavior of the continuous stochastic signals above some threshold, bursts, when the exponent of multiplicativity is higher than one. Earlier we have proposed a general nonlinear stochastic model applicable for the modeling of absolute return and trading activity in financial markets which can be transformed into Bessel process with known first hitting (first passage) time statistics. Using these results we derive PDF of burst duration for the proposed model. We confirm derived analytical expressions by numerical evaluation and discuss bursty behavior of return in financial markets in the framework of modeling by nonlinear SDE.

scholarly journals Terahertz Optics of Materials with Spatially Harmonically Distributed Refractive Index

Materials ◽  
2020 ◽  
Vol 13 (22) ◽  
pp. 5208
Author(s):  
Dzmitry Bychanok ◽  
Gleb Gorokhov ◽  
Artyom Plyushch ◽  
Alfredo Ronca ◽  
Marino Lavorgna ◽  
...  
Keyword(s):  
Refractive Index ◽  
Thermoplastic Polyurethane ◽  
Electromagnetic Properties ◽  
Electromagnetic Response ◽  
Frequency Range ◽  
Spatially Periodic ◽  
3D Printed ◽  
New Generation ◽  
Analytical Expressions ◽  
Theoretical Results

The electromagnetic properties of structures with spatially periodic distributed graded refractive index were investigated in the terahertz frequency range. The band structure and electromagnetic response of material with harmonically distributed refractive index were calculated and analyzed. The analytical expressions for frequencies of the first and second bandgap are derived. 3D printed gyroid based architectures were proven to be harmonically graded refractive index structures with designed bandgaps in THz frequency ranges. The transmission coefficient of thermoplastic polyurethane-based samples were experimentally measured in the frequency range 100–500 GHz and compared with theoretical results. Due to losses in the real world produced samples, the predicted response is significantly dumped in the terahertz range and only traces of band gaps are experimentally observed. This funding paves the way toward a new generation of 3D printed THz components for gradient-index optics applications.

The matrix M/M/∞ system: retrial models and Markov Modulated sources

1993 ◽  
Vol 25 (02) ◽  
pp. 453-471
Author(s):  
J. Keilson ◽  
L. D. Servi
Keyword(s):  
Numerical Evaluation ◽  
Stability Conditions ◽  
Kummer Functions ◽  
The Matrix ◽  
Service Rates ◽  
System Properties ◽  
Markov Modulated ◽  
The Stability ◽  
Analytical Expressions

The matrix-geometric work of Neuts could be viewed as a matrix variant of M/M/1. A 2 × 2 matrix counterpart of Neuts for M/M/∞ is introduced, the stability conditions are identified, and the ergodic solution is solved analytically in terms of the ten parameters that define it. For several cases of interest, system properties can be found from simple analytical expressions or after easy numerical evaluation of Kummer functions. When the matrix of service rates is singular, a qualitatively different solution is derived. Applications to telecommunications include some retrial models and an M/M/∞ queue with Markov-modulated input.

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