GUIDING AND SCATTERING BY SINUSOIDALLY-MODULATED REACTANCE SURFACES
Abstract
The study is divided into 4 main parts: (a) Plane Wave Scattering, (b) Guided Waves (Resonances), (c) The Field of a Line Source Above the Boundary Plane, and (d) Experimental Realization of a Constant Reactance Plane. A rigorous formal solution of the two-dimensional problem, valid forALL VALUES OF KA, IS DERIVED FOR THE SCATTERED FIELD DUE TO AN INCIDENT PLANE WAVE ON THE SINUSOIDALLY-VARYING SURFACE IMPEDANCE PLANE. The explicit expressions for the field amplitudes involve rapidly convergent continuous fractions. Only the E-mode solution, valid for all values of modulation and relative periodicity ka, is evaluated in detail. Rigorous solutions are derived for the propagation characteristics and field distributions of waves guided by the sinusoidally-modulated surface reactance plane. The explicit field amplitudes and the determinantal equation for the propagation wavenumber are expressed again in terms of continued fractions, which are rapidly convergent for all values of modulation M in the case of E-modes, but are more slowly convergent and are valid only for M less than 1 in the case of H-modes. A rigorous formal expression for the field of magnetic line source above the investigated boundary plane is obtained. A physical realization of the constant surface reactance plane is discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1960
- Accession Number
- AD0257187
Entities
People
- Alexander Hessel
Organizations
- New York University Tandon School of Engineering