同一轴中的两个图 \addplot3 (pgfplots)

问题描述

我想使用 pgfplots 绘制两个图形。这是第一个：

\begin{tikzpicture}
     \begin{axis}[
        xmin=-pi,xmax=pi,ymin=-pi,ymax=pi,zmin=0,zmax=2.5,xlabel={$\varkappa_x$},ylabel={$\varkappa_y$},zlabel={$\omega$},xtick={-pi,-pi/2,pi/2,pi},xticklabels={$-\pi$,$-\frac{\pi}{2}$,$0$,$\frac{\pi}{2}$,$\pi$},ytick={-pi,yticklabels={$-\pi$,$\pi$}
        ]
        \addplot3[surf,domain=-pi:pi,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2-sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
     \end{axis}
  \end{tikzpicture}

这是第二个：

\begin{tikzpicture}
     \begin{axis}[
        xmin=-pi,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2+sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
     \end{axis}
  \end{tikzpicture}

当我尝试在同一轴上绘制两个图形时，会发生这种情况

\begin{tikzpicture}
     \begin{axis}[
        xmin=-pi,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2-sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
        \addplot3[surf,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2+sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
     \end{axis}
  \end{tikzpicture}

也就是说，我的第二个图在零附近与第一个图重叠。如何使零附近的第一个图形与第二个图形重叠？很明显，如果我改变调用 \addplot3 的顺序，那么第一个图形将在任何地方与第二个图形重叠。我想只在零附近，这样图片看起来像这样正确

TEX 文件

\documentclass{standalone}

\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{amsmath,amssymb}
\usepackage[T2A]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[english,russian]{babel}


\pgfplotsset{compat=1.9}

\begin{document}
            \begin{tikzpicture}
                \begin{axis}[
                    xmin=-pi,$\pi$}
                    ]
                    \addplot3[surf,samples=35]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2-sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
                    \addplot3[surf,samples=35]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2+sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
                \end{axis}
        \end{tikzpicture}
\end{document}

解决方法

您可以重绘第一个函数的部分内容：

\documentclass{standalone}

\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}
     \begin{axis}[
        xmin=-pi,xmax=pi,ymin=-pi,ymax=pi,zmin=0,zmax=2.5,xlabel={$\kappa_x$},ylabel={$\kappa_y$},zlabel={$\omega$},xtick={-pi,-pi/2,pi/2,pi},xticklabels={$-\pi$,$-\frac{\pi}{2}$,$0$,$\frac{\pi}{2}$,$\pi$},ytick={-pi,yticklabels={$-\pi$,$\pi$}
        ]
        \addplot3[surf,domain=-pi:pi,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2-sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
        \addplot3[surf,samples=40]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2+sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};
        \addplot3[
          surf,domain=0:pi,y domain=-pi:0,samples=20,]{sqrt(2*sin(deg((x+y)/2))^2+sin(deg(x/2))^2+sin(deg(y/2))^2-sqrt(4*sin(deg((x+y)/2))^4+(sin(deg(x/2))^2-sin(deg(y/2))^2)^2))};        
     \end{axis}
  \end{tikzpicture}

\end{document}

latex pgfplots plot