Difference between revisions of "B1-Free Space Propagation"

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=⌘ Task: Plane wave propagation =
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==⌘ Background: Wave Propagation ==
 
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<span style="color:#000B80">Assume a plane wave: <math>E_x, H_y</math>. Show that <math>\frac{E_x}{H_y}=Z_0 = \sqrt{\mu_0/\varepsilon_0}</math>
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<span style="color:#000B80">What is the relation between a plane wave and an omnidirectional wave?
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== Comments ==
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[[File:f3-8.png|450px|right|Calculation of a plane wave, proove that Z_0 = ... = E_x/H_y]]
 
[[File:f3-8.png|450px|right|Calculation of a plane wave, proove that Z_0 = ... = E_x/H_y]]
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[[File:f3-9.png|450px|right|Cylindrical, plane and spherical wave]]
 
[[File:f3-9.png|450px|right|Cylindrical, plane and spherical wave]]
  
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=⌘ Task: Plane wave propagation =
  
 +
<span style="color:#000B80">Assume a plane wave: <math>E_x, H_y</math>. Show that <math>\frac{E_x}{H_y}=Z_0 = \sqrt{\mu_0/\varepsilon_0}</math>
  
=⌘  Free space propagation=
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<span style="color:#000B80">What is the relation between a plane wave and an omnidirectional wave?
<span style="color:#000B80"> develop propagation equation</span>, see (http://www.antenna-theory.com/basics/friis.php)
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<math> P_r = P_t  \ G_t\  G_r\  \left (\frac{\lambda}{4\pi r} \right )^2\cdot </math>
 
 
* <span style="color:#000B80"> convert into dB
 
* <span style="color:#000B80"> provide examples for ''f = ''10 MHz, 1 GHz, 100 GHz
 
* <span style="color:#000B80"> discuss influences on radiation pattern
 
 
Free space attenuation
 
<math> L = 92,4 + 20 \log(d \mathrm{[km]}) + 20 \log(f \mathrm{[GHz]}) </math>
 
 
== Comments ==
 
[[File:f3-11.png|450px|right]]
 
Figure: Free space propagation from a transmit (''t'') to a receive (''R'') station.
 
  
 
==⌘ Free space propagation ==
 
==⌘ Free space propagation ==
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Calculation of free space attenuation. Note the increased free-space attenuation of approx 5 dB from 900 to 1800 Unik/MHz, and a further increase of 3 dB from 1800 (GSM 1800) to 2450 Unik/MHz (802.11b). Note also that increasing the distance by a factor of 10 will increase the power requirements by 20 dB.
 
Calculation of free space attenuation. Note the increased free-space attenuation of approx 5 dB from 900 to 1800 Unik/MHz, and a further increase of 3 dB from 1800 (GSM 1800) to 2450 Unik/MHz (802.11b). Note also that increasing the distance by a factor of 10 will increase the power requirements by 20 dB.
 
 
=⌘ Further readings =
 
* see [[Wave Propagation Parameters]] (by Joachim Tingvold)
 

Revision as of 08:00, 21 September 2014

⌘ Background: Wave Propagation

Calculation of a plane wave, proove that Z_0 = ... = E_x/H_y


Cylindrical, plane and spherical wave

⌘ Task: Plane wave propagation

Assume a plane wave: . Show that

What is the relation between a plane wave and an omnidirectional wave?


⌘ Free space propagation

develop propagation equation, see (http://www.antenna-theory.com/basics/friis.php)

  • convert into dB
  • provide examples for f = 10 MHz, 1 GHz, 100 GHz
  • discuss influences on radiation pattern

Free space attenuation

⌘Comments

F3-11.png Free space propagation from a transmit (t) to a receive (r) station.

FreeSpaceAttenuation.png

Calculation of free space attenuation. Note the increased free-space attenuation of approx 5 dB from 900 to 1800 Unik/MHz, and a further increase of 3 dB from 1800 (GSM 1800) to 2450 Unik/MHz (802.11b). Note also that increasing the distance by a factor of 10 will increase the power requirements by 20 dB.