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2D planar EBG structure Ch11, Ch12. 學生 : 王冠中 教授 : 吳瑞北. Above resonance, the surface is capacitive and supports TE waves. Near ω0, the surface impedance is much higher than the impedance of free space, and the material does not support bound surface waves.

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2d planar ebg structure ch11 ch12

2D planar EBG structure Ch11, Ch12

學生 :王冠中

教授 :吳瑞北


2d planar ebg structure ch11 ch12

Above resonance, the surface is capacitive and supports TE waves

Near ω0, the surface impedance is much higher than the impedance of free space, and the material

does not support bound surface waves.

Below resonance, the surface is inductive and supports TM waves


2d planar ebg structure ch11 ch12

the high-impedance surface also has unusual reflection-phase properties.

the tangential magnetic field is small, even with a large electric field along the surface

magnetic conductor

The image currents in the ground plane are in-phase with the antenna current, rather than out of phase,


Finite element numerical model
finite-element numerical model reflection-phase properties.

  • . The calculation yields the allowed frequencies for each wave vector.


Measuring
MEASURING reflection-phase properties.

TM

a pair of small monopole antennas oriented normally with respect to the surface,

TE


Reflection phase
REFLECTION PHASE reflection-phase properties.


Measuring1
MEASURING reflection-phase properties.


Design procedure
DESIGN PROCEDURE reflection-phase properties.

a is the lattice constant, g is the gap between the plates, w is the width of the plates, and ε1 and ε2 are the dielectric constants of thesubstrate and the material surrounding the surface

For a square lattice F = 1, for a triangular lattice F =√ 3, and for a hexagonal grid of capacitors F = 1/ √ 3.




Reflective beam steering
REFLECTIVE-BEAM STEERING entirely by its

  • we calculate the required reflection phase gradient, as described by Eq. (11.18);

  • select a frequency;

  • and then calculate the corresponding voltages for each biasline based on a previously measured calibration table.


2d planar ebg structure ch11 ch12