Difference between revisions of "B1-Free Space Propagation"
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| + | =⌘ Task: Plane 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]] | ||
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| + | [[File:f3-9.png|450px|right|Cylindrical, plane and spherical wave]] | ||
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| + | =⌘ Free space propagation= | ||
| + | <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> | ||
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| + | * <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 | ||
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| + | Free space attenuation | ||
| + | <math> L = 92,4 + 20 \log(d \mathrm{[km]}) + 20 \log(f \mathrm{[GHz]}) </math> | ||
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| + | == Comments == | ||
| + | [[File:f3-11.png|450px|right]] | ||
| + | Figure: Free space propagation from a transmit (''t'') to a receive (''R'') station. | ||
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==⌘ Free space propagation == | ==⌘ Free space propagation == | ||
<span style="color:#000B80"> develop propagation equation</span>, see (http://www.antenna-theory.com/basics/friis.php) | <span style="color:#000B80"> develop propagation equation</span>, see (http://www.antenna-theory.com/basics/friis.php) | ||
Revision as of 07:55, 21 September 2014
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Contents
⌘ Task: Plane wave propagation
Assume a plane wave: . Show that
What is the relation between a plane wave and an omnidirectional wave?
Comments
⌘ 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
Figure: Free space propagation from a transmit (t) to a receive (R) station.
⌘ 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
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Free space propagation from a transmit (t) to a receive (r) station. |
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)
