ANALYSIS OF HIGH FREQUENCY PLANE WAVE TRANSMISSION INTO A DOUBLE NEGATIVE CYLINDER BY THE MODIFIED WATSON TRANSFORMATION AND DEBYE SERIES EXPANSION: FIRST TERM OF THE DEBYE SERIES | Zendy

Saffet Gokcen Sen | Zendy

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ANALYSIS OF HIGH FREQUENCY PLANE WAVE TRANSMISSION INTO A DOUBLE NEGATIVE CYLINDER BY THE MODIFIED WATSON TRANSFORMATION AND DEBYE SERIES EXPANSION: FIRST TERM OF THE DEBYE SERIES

Author(s) -

Saffet Gokcen Sen

Publication year - 2011

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier10121602

Subject(s) - series (stratigraphy) , term (time) , debye , transformation (genetics) , series expansion , cylinder , plane (geometry) , debye function , transmission (telecommunications) , watson , physics , condensed matter physics , mathematical analysis , mathematics , debye length , geometry , quantum mechanics , telecommunications , chemistry , engineering , computer science , geology , plasma , paleontology , biochemistry , natural language processing , gene

The modifled Watson transform is applied to the Mie series for the electromagnetic wave transmitted into the double negative cylinder due to high frequency plane wave incidence The Debye series expansion is adapted to the transmission coe-cients to reveal the transmission mechanism at high frequency. The flrst term of the Debye series is examined. Two kinds of geometrical shadow regions and two kinds of geometrically lit regions are shown to exist. The fleld formation mechanisms in these regions are indicated. Several difierences between a double positive cylinder and a double negative cylinder are determined The fleld computations are performed in the geometrical shadow and the geometrically lit regions for the flrst term of the Debye series. The residue series and steepest descent computations are shown to be in good agreement with the Mie series computations.

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