interaction between “aires” resonators and electromagnetic

AIRES Technologies Ltd.

Innovation developments and researches.

Nanotechnological systems which effect on matter structure.

Interaction between “AIRES” resonators and electromagnetic radiation

1. Introduction The surfaces of solids are investigated by physicians, engineers, specialists in the field of

telecommunications, optics, and computers. There are many works, most of which belong published under the name of “nanotechnologies” (See, for example, http://de.wikipedia org/wiki/Nanotechnologie).

Below are shown photographs of some surfaces obtained during investigations performed with direct participation of “AIRES” Foundation. These are pictures made by different methods and with different magnification, of the surface of a thin copper film deposited on a glass or silicic surface (Fig. 1).

Fig. 1. Surface of a thin copper film, deposited on a glass or silicic surface at different magnifications.

Of special interest are surfaces with uniform structure, among which fractal and self-affine surfaces occupy a highly important place. This is both due to their unusual behavior and prospects of using the devices, made on their basis.

The term “affine” means the transformation of a vector, drawn from the origin to a point with coordinates (x1, y1), into the vector from the point with coordinates (b1, b2) into the point with coordinates (x2, y2). x2=a11x1 + a12y1 + b1

y2=a21x1 + a22y1 + b2

Then the transformation being performed can be written as matrix:

Change of the values of coefficients a11, a12, a21, a22 causes rotation, reflection, moving off/approach of the point relative to the origin. Change of the values of coefficients b1 and b2 causes the shift of the point relative to the origin. If, for example,




−=

0cossin0sincos

αααα

T

there takes place a turn relative to the origin by an a angle.

If

−=

10cossin10sincos

1 αααα

T

Then the turn by an a angle occurs relative to the point with coordinates (10, 10).

If

there takes place scaling, i.e. moving off (m>1) from the origin, or approaching (m<1) of the point to the origin. When the operation of scaling is performed for all points of some figure, then there takes place an increase or decrease of its dimensions by the factor of m.

When multiple affine transformations are performed for the same object, then it is possible to obtain the so-called self-affine object like, for example, a well-known “Barnsley fern”.

Fig. 2. Barnsley fern.

The stages of obtaining graphic surfaces of some of the self-affine topologies are shown in the following figure.




а б в

Fig. 4. Stages of obtaining the topology

a – 1st, b – 2nd: “propagation” of graphics in radii (scaling, shifts, turns), c – end result.

2. Problem statement

The electromagnetic radiation is in the range of wavelengths from tens of km to units of ångström (10-8 cm) or in the range of frequencies from units of Hertz to 1026….1028 Hertz. This range is divided into low and high frequencies, then follow superhigh frequencies, infrared radiation, visible light, ultraviolet radiation, gamma-radiation, and cosmic rays (Fig.5).

Fig. 5. Electromagnetic radiation range

This radiation includes both the radiation of natural genesis (e.g. solar radiation) and radiation of artificial genesis, engendered by human technogenic activity. On some evidence, human activity has

3·10

3 Km

300 3 m

30 3 cm

300 3 3·10-2 3·10-4 3·10-6 3·10-8 3·10-10 3·10-12

µm

Wave length

10 104 106 1010 1012 1014 1016 1018 1020 1022 1024 1026

Frequency, Hz

Electric power

lines

Telephone Radio Television

Low High Infra-

red

Visible Ultra-

violet

Roentgen Gamma Cosmic rays

Radar Heat

Light

Microwaves

a b c




already resulted in the fact that in the range of radiowaves the Earth radiates energy comparable with the one of star radiation.

Electromagnetic radiation as a whole is dangerous for people, who are adapted to natural solar and geophysical radiation, and are not adopted to artificial radiation of technical origin. Therefore, it is necessary to have means to protect men against harmful technogenic radiation.

“AIRES” diffraction lattices if the ring type have been used already for some years as the above means.

It is interesting how these products operate. To understand the mechanism of operation, a model of interaction between an electromagnetic wave and “AIRES” resonator, the surface of which is shown in Fig. 4 b, was built.

Interaction between the electromagnetic wave and the surface for a stationary case can be written as follows:

(1)

k – wave number, e – plate dielectric penetrability

w – cyclic frequency, c – light velocity;

r – length of radius-vector, j – polar angle.

At modeling the following stationary model is used:

(2)

where E – function, proportional to radiation intensity,

r - length of radius-vector, j – polar angle. a – coefficient of lines absorption.

3. Results of modeling

Calculations were made according to equations (1) and (2) for different proportions between the characteristics of the incident wave and resonator.

2 periods of the incident wave for 1 turn along the resonator generatrix.

a) 2 periods of the incident wave for 1 turn along the resonator generatrix.

Left fig. – amplitude, right fig. – phase.




b) 64 periods of the incident wave for 1 turn along the resonator generatrix. Left fig. – amplitude, right fig. – phase.




c) 11 periods of the incident wave for 1 turn along the resonator generatrix. Left fig. – amplitude, right fig. – phase.

d) 19 periods of the incident wave for 1 turn along the resonator generatrix. Left fig. – amplitude, right fig. – phase.

3.2. Calculations were made according to equations (1) and (2) for different proportions between the characteristics of the incident wave and resonator in case of interaction between two resonators, i.e. the wave is reflected from one resonator to another one, placed parallel to the first one.




Results are given below for different angles of turning one resonator relative to another one.

Angle π/8 Angle 3π/16

Angle 0 Angle π/16




Angle π/4

Angle 5π/16

Angle 6 π/16 Angle 7 π/16




Angle π /2

4. Conclusion

Results, presented here, show that “AIRES” resonator unlike traditional products used today (e.g. diffraction grating) is a device capable to interact with the radiation at different proportions of the incident wave parameters and some characteristic resonator dimensions. Results, presented here, show that on the resonator surface appear stable cross-shaped zones of intensity distribution. It can be explained by self-similarity of the resonator surface affine structure.

Thus “AIRES” diffraction lattices of ring type converse a wide spectrum of electromagnetic radiation of geophysical and man-made character into a coherent state adjusting it by the amplitude, wave parameters, phases and vectors.

interaction between “aires” resonators and electromagnetic

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