Difference between revisions of "Refractivity"
From PathlossWiki
(One intermediate revision by one user not shown) | |||
Line 2: | Line 2: | ||
n = c/v | n = c/v | ||
+ | |||
+ | [[File:equationtest.wmf]] | ||
where: | where: | ||
− | c is the velocity of light in a vacuum. | + | *c is the velocity of light in a vacuum. |
− | v is the velocity of light in air. | + | *v is the velocity of light in air. |
+ | |||
A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N) | A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N) | ||
Line 15: | Line 18: | ||
where: | where: | ||
− | P is the atmospheric pressure. | + | *P is the atmospheric pressure. |
− | T is the absolute temperature. | + | *T is the absolute temperature. |
− | e is the water vapor pressure. | + | *e is the water vapor pressure. |
− | N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending. | + | *N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending. |
Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links | Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links |
Latest revision as of 15:32, 21 February 2020
The refractive index (n) of air is defined as:
n = c/v
where:
- c is the velocity of light in a vacuum.
- v is the velocity of light in air.
A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N)
N = (n-1) x 10^6
which results in a typical value of 301 Refractivity is defined by the equation:
N = 77.6 x (P/T) + 3.732 x 10^5 x (e/T^2)
where:
- P is the atmospheric pressure.
- T is the absolute temperature.
- e is the water vapor pressure.
- N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending.
Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links