This document discusses Fresnel zones and transmission through dielectric mediums. It presents calculations of reflection and refraction coefficients for different indices of refraction. Charts show transmission power reducing to near zero as the receiving medium index n2 increases to 100,000 but then jumping to 4% for higher values before falling again. The conclusion is that this demonstrates unique behavior of signal transmission in Fresnel zones through dielectric mediums.

1. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
FRESNEL ZONE AND DI-ELECTRIC MEDIUM TRANSMISSION IN
UNIQUE CO-EXISTENCE
Haque mobassir imtiyaz & Niyaz khan & Veena narayankar
department of electronics engineering saboo siddik college
ABSTRACT
In this paper we are describing about In electro-dynamics, acoustics and
the unique co-existence of fresnel zone and di- gravitational radiation a concentric ellipsoids in
electric medium transmission, in this study we circular aperture defining radiation pattern volume
have found result between device reflection co- is formed known as Fresnel zone. Waves travel in
efficient at infinite value. It is the review of two ways between two direct points first is the
fresnel zone theory wave which travels in straight line and one which
travels off the axis. The time required for the wave
KEYWORDS: Fresnel zone, reflection and refraction which travels off the axis is more and covers larger
co-efficient in unique relation deduced at infinitely distance as compared to the wave which travels in
high value of n2, n1 transmission device co- straight line. If the phase difference is complete one
efficient and n2 receiving device co-efficient cycle from the on axis waves then the ellipsoids
formation begins. First Fresnel zone will consists
FRESNEL ZONE THEORY of the signals which are 0-90 degree out of phase,
in second Fresnel zone 90-270 degree out of phase,
in third Fresnel zone 270-450 degree and so on.
The communication occurs in first Fresnel zone
Pic 1.1 depicting various fresnel zones
CALCULATIONS
2𝑠𝑖𝑛 Ɵ𝑡𝑐𝑜𝑠 Ɵ𝑖
fresnel zone calculations deals with reflection and co-efficients t11= =
sin Ɵ𝑖+Ɵ𝑡 cos ⁡
(Ɵ𝑖−Ɵ𝑡)
re-fraction Fresnel's Equations can be stated in 2𝑠𝑖𝑛 Ɵ𝑡𝑐𝑜𝑠 Ɵ𝑖
terms of the angles of incidence and transmission. 0.6414298263637128 and t‫إ‬ = =
sin ⁡
(Ɵ𝑖+Ɵ𝑡)
Light source medium of index n1= 1. Incident upon 0.6180339887498948. parallel case reflected =
a index of medium n2=2, at an angle Ɵi = 30°, 8.00095831410799%, perpendicular case reflected
transmission angle Ɵt = 14.477512185929921°. = 14.58980337503155%, parallel case transmitted
Fresnel zone reflection co-officient r11= = 91.99904168589201%, perpendicular case
tan ⁡ Ɵi−Ɵt )
(
= 0.28285965272742574 and r‫- = إ‬ transmitted = 85.41019662496845%. and vrying
𝑡𝑛𝑎 ( Ɵi+Ɵt )
sin ( Ɵi−Ɵt ) n1 = 1 and n2 = 50
= -0.3819660112501052. transmission
sin ( Ɵi+Ɵt )
1727 | P a g e

2. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
90
80
70
60
50 Series1
40 Series2
30 Series3
20
10
0
1 2 3 4
Chart Title
Series1 Series2 Series3
97.47508535
94.22038946
79.76951568
70.07192543
2
1 0 3
1 0
1 2 3 4
1 10000000
1
0.9
0.8
0.7
0.6
Axis Title
0.5
0.4 1 10000000
0.3
0.2
0.1
0
97.47508535
1728 | P a g e

3. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
1 10000000
1
0.9
0.8
0.7
0.6
0.5
0.4 1 10000000
0.3
0.2
0.1
0
97.47508535
120
100
80
Series1
60
Series2
40 Series3
20
0
1 2 3 4 5 6 7 8 9 10 11 12
120
100
80
Series1
60
Series2
40 Series3
20
0
1 2 3 4 5 6 7 8 9 10
1729 | P a g e

4. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
120
100
80
Series1
60
Series2
40 Series3
20
0
1 2 3 4 5 6 7 8 9
120
100
80
Series3
60
Series2
40 Series1
20
0
1 2 3 4 5 6 7 8 9
9000
8000
7000
6000
5000 Series3
4000 Series2
3000 Series1
2000
1000
0
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35
1730 | P a g e

5. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
120
series 1 = n1
series2 = n2
100
series3 =
transmitted
80 power
Series3
60
Series2
Series1
40
20
0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 = 1 and n2 = 100000000000000
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
4.618802152450…
3.464101614537…
4.618802153517…
3.464101615137…
0.005773336
0.007697707
0.004618695
0.003464042
Series1
60000 100000100000000001E+125
1 1 1 1
N1 =1 and n2 =
100222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000999999999999999999999999999999
1731 | P a g e

6. Haque mobassir imtiyaz, Niyaz khan, Veena narayankar / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622
www.ijera.com Vol. 2, Issue 4, July-August 2012, pp.1727-1732
100%
90%
80%
70%
60% Series4
50% Series3
40% Series2
30% Series1
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
Conclusion under study
Thus we conclude this unique behavior of signal transmission in fresnel zone through di-electric medium that
power reduces to near minimum zero when we increases n2 = 100000 but after further increase the reception
jumps to 4% and remains constant for few subsequent values before ultimately falling to zero.
1732 | P a g e