Hi everyone,

My apologies. I should have been more specific about what I am trying to do. I 
want to generate some notional antenna radiation pattern plots showing main 
lobe, back lobe, and side lobes' sizes (both peak gain and beamwidths). These 
plots are normally done with radial values in dB from some negative value up to 
zero or some positive value. The angle values on these plots are typically 
marked in degrees around the perimeter.

I have found some workarounds to get something approximating a polar radiation 
pattern plot. I used the <title> tag to mark +90 degrees, <xaxis> to mark -90, 
and yaxis to mark 180, but that does not give great resolution. (The plot grid 
only shows radii every 30 degrees.)

Likewise, I used the axis xformat and yformat parameters, in conjunction with 
the xtics and ytics tags, to mark radial magnitudes, but they only work for 
radial values from 0 to some positive number. If there is a way to do a 
logarithmic scale for the radial values, I cannot figure it out.

After searching through the LON-CAPA Author manual and the gnuplot manual, I 
think this may be as close as I can get to the equivalent of a MATLAB (theta, 
rho) polar plot. It appears to be a limitation of gnuplot, not LON-CAPA.

Does anyone know for sure? Maybe there is a way to do this in Geogebra, but I 
think I may have to compromise for now to get a problem constructed.

My code is below in case anyone wants to see what the plot looks like.

Best regards,

Gene L. Harding, PE
Associate Professor of ECET
Purdue University
574-520-4190
https://polytechnic.purdue.edu/south-bend/


POLAR ANTENNA RADIATION PATTERN PLOT
<problem>

<script type="loncapa/perl">
$amplitude=&random(0.5,3.5,0.5);
$omega=&random(1,2,0.5);
$mainlobe_gain = &random(12,22,1);  # Max antenna gain in dB
$max_plot_radius = 5*&ceil($mainlobe_gain/5);
$backlobe_gain = &random(5,8,1);  # Antenna back lobe gain in dB
$function1 = "$mainlobe_gain * abs(cos(2*t))";
$function2 = "$backlobe_gain * abs(cos(4*t))";
</script>

<gnuplot width="600" transparent="off" samples="100" grid="on" font="9" 
bgcolor="xffffff"
         height="600" align="right" fgcolor="x000000" border="off"
         plottype="Polar" gridtype="Polar" minor_ticscale="0" 
major_ticscale="0">
    <xlabel>-90&deg;</xlabel>
    <ylabel>180&deg;</ylabel>
    <title>+90&deg;</title>
    <xtics increment="5.0" minorfreq="1" location="axis" mirror="off" 
end="$max_plot_radius" start="-$max_plot_radius" />
    <ytics increment="5.0" minorfreq="1" location="axis" mirror="off" 
end="$max_plot_radius" start="-$max_plot_radius" />
    <axis xmin="-$max_plot_radius" ymin="-$max_plot_radius" 
xmax="$max_plot_radius" ymax="$max_plot_radius"
          color="x000000" xformat="on" yformat="on" yzero="off" xzero="off" />
<!--    <axis xmin="-$max_gain" ymin="-$max_gain" xmax="$max_gain" 
ymax="$max_gain" color="x000000" xformat="off" yformat="off" yzero="off" 
xzero="off" />  -->
    <curve linestyle="linespoints" linewidth="3" name="My Plot" pointtype="0" 
color="x000000">
        <function> t<$pi/4 ? $function1 : t<7*$pi/8 ? 0 : t<9*$pi/8 ? 
$function2 : t<7*$pi/4 ? 0 : $function1 </function>
    </curve>
</gnuplot>

<font size="3">
<startouttext />
    The plot at right depicts an antenna's radiation pattern with radial units 
in dB gain. <br />
    What is the peak gain of the main antenna lobe? <br />
    A<sub>main lobe</sub> = <endouttext />

<numericalresponse answer="$mainlobe_gain" unit="dB" format="0f">
    <responseparam name="tol" type="tolerance" description="Numerical 
Tolerance" default="0.5" />
    <textline readonly="no" spellcheck="none" />
</numericalresponse>
</font>

</problem>

From: Harding, Gene L
Sent: Friday, May 1, 2020 7:39 PM
To: Discussion list for LON-CAPA users <lon-capa-users@mail.lon-capa.org>
Subject: RE: Polar Format gnuplots

Hi Angela,

Thank you for sending that. If you use angular/radial coordinates, do you know 
if there is a way to label the angles around the circular perimeter? I figured 
out how to turn off the Cartesian grid, but need to display angles from 0-360 
or -180 to +180 around the circle instead of x-y coordinates.

Best regards,

Gene L. Harding, PE
Associate Professor of ECET
Purdue University
574-520-4190
https://polytechnic.purdue.edu/south-bend/

From: LON-CAPA-users 
<lon-capa-users-boun...@mail.lon-capa.org<mailto:lon-capa-users-boun...@mail.lon-capa.org>>
 On Behalf Of Athanas, Angela
Sent: Friday, May 1, 2020 7:28 PM
To: Discussion list for LON-CAPA users 
<lon-capa-users@mail.lon-capa.org<mailto:lon-capa-users@mail.lon-capa.org>>
Subject: [LON-CAPA-users] {Disarmed} Re: Polar Format gnuplots

I have a couple of polar area problems. Here's one:

<problem>
    <script type="loncapa/perl">
$a=&random(5,10,1); $a1=&random(1,3,1);  $b=$a-1;
for ($x = 0; $x<=2*3.141592654; $x+= 0.01) {
     push @X1, ($a+$b*sin($x))*cos($x);
     push @Y1, ($a+$b*sin($x))*sin($x);
     push @X2, ($a+$b*sin($x))*cos($x);     push @Y2, 0;
     push @X3, 0; push @Y3, ($a+$b*sin($x))*sin($x); }
$area=$a**2/2+$b**2/4;
$area1="$area*$pi";
 </script>
 <startouttext />
<br />
Determine the area of the right half of the cardioid formed by <m eval="on">\[  
r = $a + $b \sin{\theta} \, \] </m> <p />

<endouttext />
<gnuplot width="400" grid="off" align="center" font="medium" height="300" 
border="on" alttag="dynamically generated plot" bgcolor="xffffff" 
fgcolor="x000000" transparent="off">
     <curve linestyle="lines" name="" color="x8B0000" pointtype="1" 
pointsize="1">
         <data>@X1</data>
         <data>@Y1</data>
     </curve>
    <curve linestyle="lines" name="" color="x000000" pointtype="1" 
pointsize="2">
         <data>@X2</data>
         <data>@Y2</data>
     </curve>
    <curve linestyle="lines" name="" color="x000000" pointtype="1" 
pointsize="2">
         <data>@X3</data>
         <data>@Y3</data>
     </curve>
  </gnuplot>
<p />
<startouttext />Area of cardioid right half is <endouttext />
<formularesponse answer="$area1" samples="x,pi@3,$pi:9,$pi#4" id="11">
<responseparam name="tol" default="0.001" description="Numerical Tolerance" 
type="tolerance" />
        <textline size="35" readonly="no" />
    </formularesponse>
</problem>


________________________________
From: LON-CAPA-users 
<lon-capa-users-boun...@mail.lon-capa.org<mailto:lon-capa-users-boun...@mail.lon-capa.org>>
 on behalf of Harding, Gene L <glhar...@purdue.edu<mailto:glhar...@purdue.edu>>
Sent: Friday, May 1, 2020 6:03 PM
To: Discussion list for LON-CAPA users 
<lon-capa-users@mail.lon-capa.org<mailto:lon-capa-users@mail.lon-capa.org>>
Subject: [LON-CAPA-users] Polar Format gnuplots


Hi,



Has anyone done polar-format gnuplots in LON-CAPA? Would you be willing to 
share an example? This is my first foray into polar gnuplots. I am having 
trouble getting the angle to display around the perimeter. It's rendering x- 
and y-axis values instead of angle and radius values.



Best regards,



Gene L. Harding, PE

Associate Professor of ECET

Purdue University

574-520-4190

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