PatDip.m : (arbitrary length) dipole pattern
 -UnixWebMath-

# PatDip.m: (arbitrary length) dipole pattern

## General information

The package PatDip.m defines the pattern of an arbitrarily directed, arbitrary length dipole. The package is loaded by typing <<notebooks/PatDip.m. You may plot the pattern by loading the PatPlot.m notebook as well.

## A z-directed (arbitrary length) dipole

The function PatDip[theta,phi] defines the pattern of a z-directed arbitrary length dipole. The pattern is defined in terms of the observation angles theta and phi, as well as the length of the dipole, (length) (in meters), and the wavelength, (lambda) in meters. Make sure that you compute the magnitude of the function if you wish to plot an antenna pattern! For example, in order to plot the field pattern of a Hertzian dipole of length 1 meter, operating at a frequency f=600 MHz, you could load the PatDip.m and PatPlot.m notebooks as shown below. (Note: computing and plotting these patterns may be time consuming; hence, you are encouraged to run your job in the background, by specifying a job title and your e-mail address).

Input Block:

#### Adjacent images can be compiled into a movie and 3D graphics can be converted to a VRML format:Note:VRML images require a VRML viewer and Movies require a MPEG viewer.

Select a display mode

#### Enter values in this section only if you are submitting a job for later retrieval:

Title for job:
Brief description of the job:

Out[2]=

```  -Graphics3D-
```

## Arbitrarily oriented (arbitrary length) dipoles

The function PatDip[theta,phi,length,lambda,theta0,phi0] defines the pattern of a dipole of arbitrary length whose axis is in the direction theta=theta0, and phi=phi0. Obviously, for a z-directed dipole, theta0=0, while the value of phi0 is irelevant. Make sure that you compute the magnitude of the function if you wish to plot an antenna pattern! For example, in order to plot the field pattern of a dipole of length 1 meter at a frequency of 600 MHz, and assuming that the dipole is alligned along the theta0=Pi/4, phi0=0 direction, you should load the PatDip.m and PatPlot.m notebooks as shown below. (Note: computing and plotting these patterns may be time consuming; hence, you are encouraged to run your job in the background, by specifying a job title and your e-mail address).

Input Block:

#### Adjacent images can be compiled into a movie and 3D graphics can be converted to a VRML format:Note:VRML images require a VRML viewer and Movies require a MPEG viewer.

Select a display mode

#### Enter values in this section only if you are submitting a job for later retrieval:

Title for job:
Brief description of the job:

Out[4]=

```  -Graphics3D-
```

 This script was developed at the Center for Computational Electromagnetics (CCEM) in the University of Illinois at Urbana with funding from the Sloan Center for Asynchronous Learning Environments(SCALE).
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