Standard

Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance. / Andronov, I. V.; Bouche, D. P.

In: IEEE Transactions on Antennas and Propagation, Vol. 56, No. 7, 01.07.2008, p. 1984-1992.

Research output: Contribution to journal › Article › peer-review

Harvard

Andronov, IV & Bouche, DP 2008, 'Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance', IEEE Transactions on Antennas and Propagation, vol. 56, no. 7, pp. 1984-1992. https://doi.org/10.1109/TAP.2008.924719

APA

Andronov, I. V., & Bouche, D. P. (2008). Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance. IEEE Transactions on Antennas and Propagation, 56(7), 1984-1992. https://doi.org/10.1109/TAP.2008.924719

Vancouver

Andronov IV, Bouche DP. Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance. IEEE Transactions on Antennas and Propagation. 2008 Jul 1;56(7):1984-1992. https://doi.org/10.1109/TAP.2008.924719

Author

Andronov, I. V. ; Bouche, D. P. / Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance. In: IEEE Transactions on Antennas and Propagation. 2008 ; Vol. 56, No. 7. pp. 1984-1992.

BibTeX

@article{cf1b3a6d67904a8d8c8bff957927d050,
title = "Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance",
abstract = "Electromagnetic creeping waves on a 3-dimensional surface with an anisotropic impedance boundary condition are considered. The influence of the impedance is examined. The standard asymptotic formula for the creeping waves contains the factor 1/(τ - q2) where τ is the attenuation parameter and q is the Fock parameter which depends on the impedance matrix. Analysis of the equation for the attenuation parameter which describes its dependence on q shows that there exist such critical values of q when the factor 1/(τ - q2) diverges and the usual asymptotic formula gives infinite result. The equation for the critical values of the parameter q is derived and the 4 first critical values are found numerically. The new local asymptotics valid in domain of the size κ-2/9 (where κ is the wave number) is derived in the supposition that the divergence takes place on a curve crossed by creeping waves. This new asymptotic decomposition is carried out by powers of the small parameter κ-1/9. The effect of creeping wave passing through the line where the usual asymptotics diverges is examined.",
keywords = "Boundary layer, Creeping waves, Degeneration, Electromagnetic propagation, High frequency asymptotics, Impedance",
author = "Andronov, {I. V.} and Bouche, {D. P.}",
year = "2008",
month = jul,
day = "1",
doi = "10.1109/TAP.2008.924719",
language = "English",
volume = "56",
pages = "1984--1992",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "7",

}

RIS

TY - JOUR

T1 - Degeneration of electromagnetic creeping waves in a vicinity of critical values of anisotropic impedance

AU - Andronov, I. V.

AU - Bouche, D. P.

PY - 2008/7/1

Y1 - 2008/7/1

N2 - Electromagnetic creeping waves on a 3-dimensional surface with an anisotropic impedance boundary condition are considered. The influence of the impedance is examined. The standard asymptotic formula for the creeping waves contains the factor 1/(τ - q2) where τ is the attenuation parameter and q is the Fock parameter which depends on the impedance matrix. Analysis of the equation for the attenuation parameter which describes its dependence on q shows that there exist such critical values of q when the factor 1/(τ - q2) diverges and the usual asymptotic formula gives infinite result. The equation for the critical values of the parameter q is derived and the 4 first critical values are found numerically. The new local asymptotics valid in domain of the size κ-2/9 (where κ is the wave number) is derived in the supposition that the divergence takes place on a curve crossed by creeping waves. This new asymptotic decomposition is carried out by powers of the small parameter κ-1/9. The effect of creeping wave passing through the line where the usual asymptotics diverges is examined.

AB - Electromagnetic creeping waves on a 3-dimensional surface with an anisotropic impedance boundary condition are considered. The influence of the impedance is examined. The standard asymptotic formula for the creeping waves contains the factor 1/(τ - q2) where τ is the attenuation parameter and q is the Fock parameter which depends on the impedance matrix. Analysis of the equation for the attenuation parameter which describes its dependence on q shows that there exist such critical values of q when the factor 1/(τ - q2) diverges and the usual asymptotic formula gives infinite result. The equation for the critical values of the parameter q is derived and the 4 first critical values are found numerically. The new local asymptotics valid in domain of the size κ-2/9 (where κ is the wave number) is derived in the supposition that the divergence takes place on a curve crossed by creeping waves. This new asymptotic decomposition is carried out by powers of the small parameter κ-1/9. The effect of creeping wave passing through the line where the usual asymptotics diverges is examined.

KW - Boundary layer

KW - Creeping waves

KW - Degeneration

KW - Electromagnetic propagation

KW - High frequency asymptotics

KW - Impedance

UR - http://www.scopus.com/inward/record.url?scp=47249146949&partnerID=8YFLogxK

U2 - 10.1109/TAP.2008.924719

DO - 10.1109/TAP.2008.924719

M3 - Article

AN - SCOPUS:47249146949

VL - 56

SP - 1984

EP - 1992

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 7

ER -

ID: 39981294