1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond...
-
Upload
mavis-hart -
Category
Documents
-
view
216 -
download
1
Transcript of 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond...
![Page 1: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/1.jpg)
1
Diffraction Phenomena: Radio signal can propagate around
the curved surface of the earth, beyond the horizon and behind obstructions.
Huygen’s principle: All points on a wavefront can be considered as point sources for the production of secondary wavelets and these wavelets combine to produce a new wavefront in the direction of propagation.
The field strength of a diffracted wave in the shadowed region is the vector sum of the electric field components of all the secondary wavelets in the space around the obstacles.
![Page 2: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/2.jpg)
2
Fresnel Zone Geometry
The wave propagating from the transmitter to the receiver via the top of the screen travels a longer distance than if a direct line-of-sight path exists.
![Page 3: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/3.jpg)
3
Fresnel Zone Geometry(Cont’d)
Angle ,
Fresnel-Kirchoff diffraction parameter
Normalizing ,
![Page 4: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/4.jpg)
4
Fresnel Zone Geometry(Cont’d)
The concentric circles on the plane are Fresnel Zones.
![Page 5: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/5.jpg)
5
The radius of the nth Fresnel zone circle
The excess total path length traversed by a ray passing through each circle is
![Page 6: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/6.jpg)
6
Consider a receiver at point R, located in the shadowed region.
The electric field strength Ed,
where E0 is the free space field strength
![Page 7: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/7.jpg)
7
Graphical representation of
The diffraction gain:
![Page 8: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/8.jpg)
8
Lee’s approximate solution:
![Page 9: 1 Diffraction Phenomena: Radio signal can propagate around the curved surface of the earth, beyond the horizon and behind obstructions. Huygen’s principle:](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649f535503460f94c773d9/html5/thumbnails/9.jpg)
9
Multiple Knife-edge Diffraction