Hi SMath team,

how to plot a polar diagram of radiated fields of infinitesimal linear wire?
Could you plase help me with this topic.

Bes regards,
Andrey

Please see you the file Herzt_Dipole_Polarediagram.sm (328,05 KiB) scaricato 1344 volta(e).

You can use the Maxima Draw2D region. Sorry for the high resolution screenshot, this seems to be a new feature of the smath solver or some other dpi glitch on my system (the screen was not high dpi where the shot was taken from, however).


Herzt_Dipole_Polarediagram_Kr.sm (473,09 KiB) scaricato 1383 volta(e).

Wrote

... Sorry for the high resolution screenshot, this seems to be a new feature of the smath solver or some other dpi glitch on my system (the screen was not high dpi where the shot was taken from, however). ...

Hi Martin. After I post several images in very poor resolution I think the best option is to capture the images in SMath with the zoom set to 70% or something similar to obtain decent images.

Best regards.
Alvaro.

Thanks for all, for their comments.

I have another question:
1. how to plot the directions theta=0...180 and phi=0...360 on the polar diagrams?
2. how to plot log scale for the functions? I need to map the dB(Radiation_Pattern) like in Mathcad.



Is there a solution here, or snippes, or plugins?

Calculation of the corner antenna.sm (415,54 KiB) scaricato 1416 volta(e).

Best regards,
Andrey

Wrote

Thanks for all, for their comments.

I have another question:
1. how to plot the directions theta=0...180 and phi=0...360 on the polar diagrams?
2. how to plot log scale for the functions? I need to map the dB(Radiation_Pattern) like in Mathcad.



Is there a solution here, or snippes, or plugins?

Calculation of the corner antenna.sm (415,54 KiB) scaricato 1416 volta(e).

Best regards,
Andrey

Hello Smath users,

do you have experience or any idea, who to create a polar plot like Mathcad, as shown on the picture?
I need a dB or Log - scale for radius and marking of directions

Thank you for you help.

Best regards,
Andrey

Wrote

Hello Smath users,

do you have experience or any idea, who to create a polar plot like Mathcad, as shown on the picture?
I need a dB or Log - scale for radius and marking of directions

Thank you for you help.

Best regards,
Andrey

I remember Viacheslav has introduced a polarplot example with maple plugin.
Maybe that demonstration can be a starting point for you.

Regards

Link to file:
https://smath.info:8443/svn/public/!svn/ver/3317/plugins/MapleTools/Examples/mapletools.polarplot.sm

Dear SMath users and developers,

unfortunately I did not succeed to create the graph as polar diagram with the help of Maple plugin.
I have tried different options, with Maxima plugin it works, with Maple unfortunately not.

Just one thing. How can I create the polar lines and circular lines (dB or Log20 or Log10) with different step sizes?
A desirable is the one polar diagram as on the picture Calculation of the corner antenna.sm (423,36 KiB) scaricato 1293 volta(e).



That is unfortunately a pity that there is not available a Polar-Diagram set s a normal tool or plugin.

Best regards,
Andrey

You can use X-Y Plot for this. The function must be drawn with a coordinate transformation in the form of a matrix.



XYPlot. Shapes. Polar grid.sm (11,58 KiB) scaricato 1292 volta(e).

XYPlot. Draw shapes.sm (19,85 KiB) scaricato 3279 volta(e).
XYPlot. Draw shapes.pdf (92,91 KiB) scaricato 2286 volta(e).

Something like this, but you need to display the logarithm of the curve.



XYPlot. Shapes. Polar grid.sm (34,66 KiB) scaricato 1287 volta(e).

Such conversions are fine, but I'm not sure if they are correct.

Спасибо, Вячеслав, это именно то, что мне было нужно.

С наилучшими пожеланиями,
Андрей

График можно двигать и ограничивать, используя настройки X-Y Plot.



XYPlot. Shapes. Polar grid.sm (38,47 KiB) scaricato 1230 volta(e).
XYPlot. Shapes. Polar grid.pdf (124,28 KiB) scaricato 814 volta(e).

Добрый вечер Вячеслав,
мне все еще нужно обратиться к вам за помощью с Log-Polar Plot.
Я столкнулся с проблемой, как сделать полярный график с логарифмической шкалой для Theta.
Я всегда вижу отрицательное значение r в начале и в конце спискса.
Мне пришлось провести нормализацию и проверки амплитуды на отрицательный радиус перед взятием логарифма, но это не помогло.



Как по Вашему, что может быть причиной такого поведения для графика по углу Theta?

Calculation of the corner antenna_2.sm (499,88 KiB) scaricato 1390 volta(e).

Спасибо, Андрей

Wrote

... refreshed, angle of max radiation added.

Project Dipole.sm (47,29 KiB) scaricato 1271 volta(e).

Hi Jean,

thank you for your help. There are interesting and original solutions in your post. I'll take note of them.

Best regards,
Andrey

Можно так.

File non trovato. File non trovato. File non trovato.

Вячеслав, cпасибо, вы мне очень помогли.

С уважением,
Андрей

Wrote

Можно так.

There is there a very mysterious r> 0.01. My explanation is that, first of all, you have to make sure that the argument for log10 is positive, but then you have to verify that in the polar graph it is f> 0, because in polar coordinates only positive values of the position vector module are considered. This implies that f = 0.5 * log10 (r) +1> 0 is needed, from which solving for r we have the mysterious condition r> 0.01.

Best regards.
Alvaro.

Addendum:

The original range for the graph is 0 < theta < 180º . Outside of that domain the problem is not defined, or simply does not matter. Viacheslav restricted the domain by imposing y> 0, which is correct, but the following form shows a little more clearly how the transformation of coordinates from Cartesian to logarithmic polar is done, and then imposing the original condition on the domain, so that XY plot just plot in the desired range.