Problem Scaling Logarithmic function PSTricks

Question

I'm trying to plot a function, but with the x-axis logarithmic. I use PSTricks and the package pstricks-addwith the algebraic option, to write my function litterally. My function to be plotted is :

I want to have the X-axis logarithmic, from 10^-1 to 10^2... But I can't figure how to do it...

Here's what I tried...

\psset{xunit=2,yunit=6, algebraic}
\begin{pspicture}[showgrid=false](0,0)(2,1)
   \psaxes[xlogBase=10, comma,subticks=5,
            arrowscale=1.5]{->}(3,0.8)[Voltage (V),-90][Yield (\%),90]
   \psplot[linecolor=red]{0.01}{2}{(x/(1+(1+x^2)^0.5))^2}
\end{pspicture}

That generates this : What I want to have is this :

Does I have to adapt the function so that it fits the non-logarithmic grid once plotted ? I don't understand the principe of plotting a log function in a non-log grid...

If you could also explain me that it would be great.

Answer 1

Here is a solution for PSTricks.

\documentclass[pstricks,border=10pt]{standalone}

\usepackage{pst-plot,pstricks-add}

\begin{document}

\psset{xunit=2,yunit=6,plotpoints=500,algebraic=true,linewidth=0.5pt,dash=2pt 2pt}

\begin{pspicture}(-1.4,-0.2)(3.9,1.2)
  \psaxes[axesstyle=frame,xlogBase=10,comma,logLines=x,dy=0.2,Dy=20,xsubticks=9,
   yticksize=0 4,subticklinestyle=dashed,ticklinestyle=dashed,Ox={-1}](-1,0)(3,1.0)[Voltage (V),0][Yield (\%),90]
   \psplot[linecolor=red]{-1}{3}{10^x^2/(1+sqrt(1+10^x^2))^2}
\end{pspicture}

\end{document}

Answer 2

Here's how you would do this with PGFPlots:

\documentclass[border=5mm]{standalone}

\usepackage{pgfplots}
\pgfplotsset{compat=1.10}

\begin{document}
\begin{tikzpicture}%
  \begin{axis}[%
    xmode = log, % X axis is logarithmic
    domain = 1e-1:1e2, % Domain over which the function is evaluated
    ymax = 100, % Explicitly set the upper limit of the Y axis (the others are automatically determined)
    enlargelimits = false, % Don't add padding
    ylabel = Yield / \%, % Set the labels
    xlabel = Voltage / V,
    grid = both % Draw grid lines for the X and Y axis
  ]
  \addplot [very thick, smooth] { 100 * x^2 / (1 + sqrt(1+x^2))^2};
  \end{axis}
\end{tikzpicture}%
\end{document}