Propagation constant

Three-dimensional antenna radiation patterns. The radial distance from the origin in any direction represents the strength of radiation emitted in that direction. The top shows the directive pattern of a horn antenna, the bottom shows the omnidirectional pattern of a dipole antenna.

google.deCheap Hostgator Hosting, http://www.fundacaonokia.org/?option=com_k2&view=itemlist&task=user&id=71687. When it comes to web hosting leaders, HostGator is plainly a leading tier option. The success HostGator has attained has actually been unparalleled. They are among the world's 10 biggest hosting business. According to their site, they host well over 2,500,000 domains. They have likewise been ranked number 21 on the Inc 5000 fastest growing companies in America. From the years 2005 to 2008, HostGator accomplished a 900 % boost in profits. So as you can tell HostGator has been really successful. We freely admit here at Webhosting Mentor, that HostGator places as a top favorite within our team. Now HostGator didn't pay us to say that. Its just the way it has actually fallen out. More of us consistently utilize this platform due to the fact that it just conforms with what we such as.
Now lets learn why

Dependability

Just like the various other hosting services we advise, HostGator has a state of the art information center with backup power generators and all of the techno goodies to make her hum. HostGator likewise went an action further and introduced a Gigabit Uplink with a Surefire 20mbit connection. HostGator has actually also executed a number of layers of network security making sure the safety of all your details.

Cost

In in our book, when it comes to web hosting, price is a big offer. HostGator is most likely the closest thing that you will find to pulling the bunny out of the hat. HostGator is also well understood for the incredible endless diskspace and bandwidth they offer.

Control board

HostGator utilizes a remarkably simple to navigate cPanel. The HostGator cPanel is one of one of the most user friendly full showcased control panels. The fantastico feature has become everyone's favored attribute. It permits webmasters to install content management systems like WordPress and drupal, not to mention all the online forums, blog sites and portals that you can enable. Just click on their link below and you can in fact demo their cPanel in order to get "feel" for how it operates. Or try their cost-free SiteBuilder Device as they have a demo for that as well.

Consumer Service

One of the reasons HostGator has been so effective is the fact that they offer quality client service. HostGator offers award winning support 24/7/365. HostGator's aim it to address any web hosting issue you have and provide suggestions that can save you a lot of time and money.

Summary

Limitless disk area
Unrestricted bandwidth
Unrestricted domains
Immediate backups
99.9 uptime assurance
WordPress friendly
45 day cash back assure
Free setup
24/7 support
$50 free of cost Google AdWords
Website home builder

Conclusion

HostGator has actually shown it is one of the leaders in the webhosting industry. They have the goods to back it up too and at the right rate. They provide services to novices and professionals alike. With the endless disk area and bandwidth the possibilities of how numerous sites you can have are limitless. HostGator provides top of the line customer support and reliability. It is no error that HostGator is one of the fastest expanding business in America. Word of mouth is getting around and people are reacting in a favorable way. Like I stated earlier, some of us below have already made the jump into the gator bandwagon. If you want to find out more about their hosting plan, merely click the link below.

In the field of antenna design the term radiation pattern (or antenna pattern or far-field pattern) refers to the directional (angular) dependence of the strength of the radio waves from the antenna or other source.

Particularly in the fields of fiber optics, lasers, and integrated optics, the term radiation pattern may also be used as a synonym for the near-field pattern or Fresnel pattern. This refers to the positional dependence of the electromagnetic field in the near-field, or Fresnel region of the source. The near-field pattern is most commonly defined over a plane placed in front of the source, or over a cylindrical or spherical surface enclosing it.

The far-field pattern of an antenna may be determined experimentally at an antenna range, or alternatively, the near-field pattern may be found using a near-field scanner, and the radiation pattern deduced from it by computation. The far-field radiation pattern can also be calculated from the antenna shape by computer programs such as NEC. Other software, like HFSS can also compute the near field.

The far field radiation pattern may be represented graphically as a plot of one of a number of related variables, including; the field strength at a constant (large) radius (an amplitude pattern or field pattern), the power per unit solid angle (power pattern) and the directive gain. Very often, only the relative amplitude is plotted, normalized either to the amplitude on the antenna boresight, or to the total radiated power. The plotted quantity may be shown on a linear scale, or in dB. The plot is typically represented as a three dimensional graph (as at right), or as separate graphs in the vertical plane and horizontal plane. This is often known as a polar diagram.

Reciprocity

It is a fundamental property of antennas that the receiving pattern (sensitivity as a function of direction) of an antenna when used for receiving is identical to the far-field radiation pattern of the antenna when used for transmitting. This is a consequence of the reciprocity theorem of electromagnetics and is proved below. Therefore in discussions of radiation patterns the antenna can be viewed as either transmitting or receiving, whichever is more convenient.

Typical patterns

Typical polar radiation plot. Most antennas show a pattern of "lobes" or maxima of radiation. In a directive antenna, shown here, the largest lobe, in the desired direction of propagation, is called the "main lobe". The other lobes are called "sidelobes" and usually represent radiation in unwanted directions.

Since electromagnetic radiation is dipole radiation, it is not possible to build an antenna that radiates equally in all directions, although such a hypothetical isotropic antenna is used as a reference to calculate antenna gain. The simplest antennas, monopole and dipole antennas, consist of one or two straight metal rods along a common axis.

These axially symmetric antennas have radiation patterns with a similar symmetry, called omnidirectional patterns; they radiate equal power in all directions perpendicular to the antenna, with the power varying only with the angle to the axis, dropping off to zero on the antenna's axis. This illustrates the general principle that if the shape of an antenna is symmetrical, its radiation pattern will have the same symmetry.

Various parts of a radiation pattern are referred to as "lobes", which may be subclassified into major or main, minor, side, and back lobes. A radiation lobe is a “portion of the radiation pattern bounded by regions of relatively weak radiation intensity.”

In most antennas, the radiation from the different parts of the antenna interferes at some angles. This results in zero radiation at certain angles where the radio waves from the different parts arrive out of phase, and maxima of radiation at other angles where the radio waves arrive in phase. Therefore the radiation plot of most antennas shows a pattern of maxima(lobe) at various angles, separated by "nulls" at which the radiation goes to zero.

A rectangular radiation plot, an alternative presentation method to a polar plot.

The larger the antenna is compared to a wavelength, the more lobes there will be. In a directive antenna in which the objective is to direct the radio waves in one particular direction, the lobe in that direction is larger than the others; this is called the "main lobe". The axis of maximum radiation, passing through the center of the main lobe, is called the "beam axis" or boresight axis". In some antennas, such as split-beam antennas, there may exist more than one major lobe. A minor lobe is any lobe except a major lobe.

The other lobes, representing unwanted radiation in other directions, are called "side lobes". The side lobe in the opposite direction (180°) from the main lobe is called the "back lobe". Usually it refers to a minor lobe that occupies the hemisphere in a direction opposite to that of the major (main) lobe.

Minor lobes usually represent radiation in undesired directions, and they should be minimized. Side lobes are normally the largest of the minor lobes. The level of minor lobes is usually expressed as a ratio of the power density in the lobe in question to that of the major lobe. This ratio is often termed the side lobe ratio or side lobe level. Side lobe levels of −20 dB or smaller are usually not desirable in many applications. Attainment of a side lobe level smaller than −30 dB usually requires very careful design and construction. In most radar systems, low side lobe ratios are very important to minimize false target indications through the side lobes.

Proof of reciprocity

For a complete proof, see the reciprocity (electromagnetism) article. Here, we present a common simple proof limited to the approximation of two antennas separated by a large distance compared to the size of the antenna, in a homogeneous medium. The first antenna is the test antenna whose patterns are to be investigated; this antenna is free to point in any direction. The second antenna is a reference antenna, which points rigidly at the first antenna.

Each antenna is alternately connected to a transmitter having a particular source impedance, and a receiver having the same input impedance (the impedance may differ between the two antennas).

It will be assumed that the two antennas are sufficiently far apart that the properties of the transmitting antenna are not affected by the load placed upon it by the receiving antenna. Consequently, the amount of power transferred from the transmitter to the receiver can be expressed as the product of two independent factors; one depending on the directional properties of the transmitting antenna, and the other depending on the directional properties of the receiving antenna.

For the transmitting antenna, by the definition of gain, $G$, the radiation power density at a distance $r$ from the antenna (i.e. the power passing through unit area) is

$\mathrm {W} (\theta ,\Phi )={\frac {\mathrm {G} (\theta ,\Phi )}{4\pi r^{2}}}P_{t}$.

Here, the arguments $\theta$ and $\Phi$ indicate a dependence on direction from the antenna, and $P_{t}$ stands for the power the transmitter would deliver into a matched load. The gain $G$ may be broken down into three factors; the antenna gain (the directional redistribution of the power), the radiation efficiency (accounting for ohmic losses in the antenna), and lastly the loss due to mismatch between the antenna and transmitter. Strictly, to include the mismatch, it should be called the realized gain, but this is not common usage.

For the receiving antenna, the power delivered to the receiver is

$P_{r}=\mathrm {A} (\theta ,\Phi )W\,$.

Here $W$ is the power density of the incident radiation, and $A$ is the antenna aperture or effective area of the antenna (the area the antenna would need to occupy in order to intercept the observed captured power). The directional arguments are now relative to the receiving antenna, and again $A$ is taken to include ohmic and mismatch losses.

Putting these expressions together, the power transferred from transmitter to receiver is

$P_{r}=A{\frac {G}{4\pi r^{2}}}P_{t}$,

where $G$ and $A$ are directionally dependent properties of the transmitting and receiving antennas respectively. For transmission from the reference antenna (2), to the test antenna (1), that is

$P_{1r}=\mathrm {A_{1}} (\theta ,\Phi ){\frac {G_{2}}{4\pi r^{2}}}P_{2t}$,

and for transmission in the opposite direction

$P_{2r}=A_{2}{\frac {\mathrm {G_{1}} (\theta ,\Phi )}{4\pi r^{2}}}P_{1t}$.

Here, the gain $G_{2}$ and effective area $A_{2}$ of antenna 2 are fixed, because the orientation of this antenna is fixed with respect to the first.

Now for a given disposition of the antennas, the reciprocity theorem requires that the power transfer is equally effective in each direction, i.e.

${\frac {P_{1r}}{P_{2t}}}={\frac {P_{2r}}{P_{1t}}}$,

whence

${\frac {\mathrm {A_{1}} (\theta ,\Phi )}{\mathrm {G_{1}} (\theta ,\Phi )}}={\frac {A_{2}}{G_{2}}}$.

But the right hand side of this equation is fixed (because the orientation of antenna 2 is fixed), and so

${\frac {\mathrm {A_{1}} (\theta ,\Phi )}{\mathrm {G_{1}} (\theta ,\Phi )}}=\mathrm {constant}$,

i.e. the directional dependence of the (receiving) effective aperture and the (transmitting) gain are identical (QED). Furthermore, the constant of proportionality is the same irrespective of the nature of the antenna, and so must be the same for all antennas. Analysis of a particular antenna (such as a Hertzian dipole), shows that this constant is ${\frac {\lambda ^{2}}{4\pi }}$, where $\lambda$ is the free-space wavelength. Hence, for any antenna the gain and the effective aperture are related by

$\mathrm {A} (\theta ,\Phi )={\frac {\lambda ^{2}\mathrm {G} (\theta ,\Phi )}{4\pi }}$.

Even for a receiving antenna, it is more usual to state the gain than to specify the effective aperture. The power delivered to the receiver is therefore more usually written as

$P_{r}={\frac {\lambda ^{2}G_{r}G_{t}}{(4\pi r)^{2}}}P_{t}$

(see link budget). The effective aperture is however of interest for comparison with the actual physical size of the antenna.

Practical consequences

• When determining the pattern of a receiving antenna by computer simulation, it is not necessary to perform a calculation for every possible angle of incidence. Instead, the radiation pattern of the antenna is determined by a single simulation, and the receiving pattern inferred by reciprocity.

• When determining the pattern of an antenna by measurement, the antenna may be either receiving or transmitting, whichever is more convenient.

External links

• Understanding and Using Antenna Radiation Patterns By Joseph H. Reisert