"""Illustrate the sharp hull-displacement example. Python 3.14, matplotlib 3.10.7. Run in the intended output directory. Only the PNG output uses the current cwd. """ from pathlib import Path import numpy as np import matplotlib matplotlib.use('Agg') import matplotlib.pyplot as plt fig,ax=plt.subplots(figsize=(7,3.3),dpi=100,facecolor='white') theta=np.linspace(.22,np.pi,500) ax.plot(np.cos(theta),np.sin(theta),color='#2467a9',lw=3,label=r'$K_L$: semicircular slit') ax.plot([-1.35,1.4],[0,0],color='#545454',lw=1.2) ax.scatter([-.86],[.14],s=48,color='#ba392f',zorder=4) ax.text(-.75,.14,r'$z_\delta\to-1$',color='#922b23',fontsize=11,va='center') ax.text(-1.08,-.10,r'$-1$',fontsize=10) ax.text(.97,-.10,r'$1$',fontsize=10) ax.text(-.20,.55,'Interior bay',fontsize=11,ha='center') ax.annotate('Narrow passage',xy=(.98,.11),xytext=(1.12,.55),fontsize=10, ha='center',arrowprops={'arrowstyle':'->','color':'#545454'}) ax.text(-.15,.29,r'$g_{K_L}(z_\delta)\to2$',fontsize=11,ha='center') ax.set(xlim=(-1.35,1.75),ylim=(-.17,1.17),aspect='equal') ax.axis('off') fig.suptitle('A nearly closed slit makes the displacement approach 3',fontsize=11,y=.97) fig.subplots_adjust(left=.035,right=.985,bottom=.08,top=.87) fig.savefig(Path.cwd()/(Path(__file__).stem+'.png'),dpi=100,facecolor='white',transparent=False) plt.close(fig)