From 5376f099c18c3b140cdc8f01c90f21a0c5b38782 Mon Sep 17 00:00:00 2001
From: bai2795 <dieter.horns@desy.de>
Date: Wed, 3 Jul 2024 20:08:54 +0200
Subject: [PATCH] added figures for geo optics

---
 v0.1/figures/abbildung_2thin_lenses.png |  Bin 0 -> 28427 bytes
 v0.1/figures/drawing_2thinlenses.svg    | 1475 +++++++++++++++++++++++
 v0.1/figures/drawing_slab.svg           |  395 ++++++
 3 files changed, 1870 insertions(+)
 create mode 100644 v0.1/figures/abbildung_2thin_lenses.png
 create mode 100644 v0.1/figures/drawing_2thinlenses.svg
 create mode 100644 v0.1/figures/drawing_slab.svg

diff --git a/v0.1/figures/abbildung_2thin_lenses.png b/v0.1/figures/abbildung_2thin_lenses.png
new file mode 100644
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t=0;t&lt;4;++t)s[0][0][t]=this.colors[0][0][t],s[0][1][t]=this.colors[0][1][t],s[1][0][t]=(this.colors[0][0][t]+this.colors[1][0][t])/2,s[1][1][t]=(this.colors[0][1][t]+this.colors[1][1][t])/2,r[0][0][t]=s[1][0][t],r[0][1][t]=s[1][1][t],r[1][0][t]=this.colors[1][0][t],r[1][1][t]=this.colors[1][1][t];return[new m(t,s),new m(e,r)]}paint(t,e){let s,n=!1;for(let t=0;t&lt;4;++t)if((s=o([this.nodes[0][t],this.nodes[1][t],this.nodes[2][t],this.nodes[3][t]]))&gt;r){n=!0;break}if(n){let s=this.split();s[0].paint(t,e),s[1].paint(t,e)}else{new w([...this.nodes[0]],[...this.colors[0]]).paintCurve(t,e)}}}class b{constructor(t){this.readMesh(t),this.type=t.getAttribute(&quot;type&quot;)||&quot;bilinear&quot;}readMesh(t){let e=[[]],s=[[]],r=Number(t.getAttribute(&quot;x&quot;)),n=Number(t.getAttribute(&quot;y&quot;));e[0][0]=new x(r,n);let o=t.children;for(let t=0,r=o.length;t&lt;r;++t){e[3*t+1]=[],e[3*t+2]=[],e[3*t+3]=[],s[t+1]=[];let r=o[t].children;for(let n=0,o=r.length;n&lt;o;++n){let o=r[n].children;for(let r=0,i=o.length;r&lt;i;++r){let i=r;0!==t&amp;&amp;++i;let h,d=o[r].getAttribute(&quot;path&quot;),c=&quot;l&quot;;null!=d&amp;&amp;(c=(h=d.match(/\s*([lLcC])\s*(.*)/))[1]);let u=l(h[2]);switch(c){case&quot;l&quot;:0===i?(e[3*t][3*n+3]=u[0].add(e[3*t][3*n]),e[3*t][3*n+1]=a(e[3*t][3*n],e[3*t][3*n+3]),e[3*t][3*n+2]=a(e[3*t][3*n+3],e[3*t][3*n])):1===i?(e[3*t+3][3*n+3]=u[0].add(e[3*t][3*n+3]),e[3*t+1][3*n+3]=a(e[3*t][3*n+3],e[3*t+3][3*n+3]),e[3*t+2][3*n+3]=a(e[3*t+3][3*n+3],e[3*t][3*n+3])):2===i?(0===n&amp;&amp;(e[3*t+3][3*n+0]=u[0].add(e[3*t+3][3*n+3])),e[3*t+3][3*n+1]=a(e[3*t+3][3*n],e[3*t+3][3*n+3]),e[3*t+3][3*n+2]=a(e[3*t+3][3*n+3],e[3*t+3][3*n])):(e[3*t+1][3*n]=a(e[3*t][3*n],e[3*t+3][3*n]),e[3*t+2][3*n]=a(e[3*t+3][3*n],e[3*t][3*n]));break;case&quot;L&quot;:0===i?(e[3*t][3*n+3]=u[0],e[3*t][3*n+1]=a(e[3*t][3*n],e[3*t][3*n+3]),e[3*t][3*n+2]=a(e[3*t][3*n+3],e[3*t][3*n])):1===i?(e[3*t+3][3*n+3]=u[0],e[3*t+1][3*n+3]=a(e[3*t][3*n+3],e[3*t+3][3*n+3]),e[3*t+2][3*n+3]=a(e[3*t+3][3*n+3],e[3*t][3*n+3])):2===i?(0===n&amp;&amp;(e[3*t+3][3*n+0]=u[0]),e[3*t+3][3*n+1]=a(e[3*t+3][3*n],e[3*t+3][3*n+3]),e[3*t+3][3*n+2]=a(e[3*t+3][3*n+3],e[3*t+3][3*n])):(e[3*t+1][3*n]=a(e[3*t][3*n],e[3*t+3][3*n]),e[3*t+2][3*n]=a(e[3*t+3][3*n],e[3*t][3*n]));break;case&quot;c&quot;:0===i?(e[3*t][3*n+1]=u[0].add(e[3*t][3*n]),e[3*t][3*n+2]=u[1].add(e[3*t][3*n]),e[3*t][3*n+3]=u[2].add(e[3*t][3*n])):1===i?(e[3*t+1][3*n+3]=u[0].add(e[3*t][3*n+3]),e[3*t+2][3*n+3]=u[1].add(e[3*t][3*n+3]),e[3*t+3][3*n+3]=u[2].add(e[3*t][3*n+3])):2===i?(e[3*t+3][3*n+2]=u[0].add(e[3*t+3][3*n+3]),e[3*t+3][3*n+1]=u[1].add(e[3*t+3][3*n+3]),0===n&amp;&amp;(e[3*t+3][3*n+0]=u[2].add(e[3*t+3][3*n+3]))):(e[3*t+2][3*n]=u[0].add(e[3*t+3][3*n]),e[3*t+1][3*n]=u[1].add(e[3*t+3][3*n]));break;case&quot;C&quot;:0===i?(e[3*t][3*n+1]=u[0],e[3*t][3*n+2]=u[1],e[3*t][3*n+3]=u[2]):1===i?(e[3*t+1][3*n+3]=u[0],e[3*t+2][3*n+3]=u[1],e[3*t+3][3*n+3]=u[2]):2===i?(e[3*t+3][3*n+2]=u[0],e[3*t+3][3*n+1]=u[1],0===n&amp;&amp;(e[3*t+3][3*n+0]=u[2])):(e[3*t+2][3*n]=u[0],e[3*t+1][3*n]=u[1]);break;default:console.error(&quot;mesh.js: &quot;+c+&quot; invalid path type.&quot;)}if(0===t&amp;&amp;0===n||r&gt;0){let e=window.getComputedStyle(o[r]).stopColor.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i),a=window.getComputedStyle(o[r]).stopOpacity,h=255;a&amp;&amp;(h=Math.floor(255*a)),e&amp;&amp;(0===i?(s[t][n]=[],s[t][n][0]=Math.floor(e[1]),s[t][n][1]=Math.floor(e[2]),s[t][n][2]=Math.floor(e[3]),s[t][n][3]=h):1===i?(s[t][n+1]=[],s[t][n+1][0]=Math.floor(e[1]),s[t][n+1][1]=Math.floor(e[2]),s[t][n+1][2]=Math.floor(e[3]),s[t][n+1][3]=h):2===i?(s[t+1][n+1]=[],s[t+1][n+1][0]=Math.floor(e[1]),s[t+1][n+1][1]=Math.floor(e[2]),s[t+1][n+1][2]=Math.floor(e[3]),s[t+1][n+1][3]=h):3===i&amp;&amp;(s[t+1][n]=[],s[t+1][n][0]=Math.floor(e[1]),s[t+1][n][1]=Math.floor(e[2]),s[t+1][n][2]=Math.floor(e[3]),s[t+1][n][3]=h))}}e[3*t+1][3*n+1]=new x,e[3*t+1][3*n+2]=new x,e[3*t+2][3*n+1]=new x,e[3*t+2][3*n+2]=new x,e[3*t+1][3*n+1].x=(-4*e[3*t][3*n].x+6*(e[3*t][3*n+1].x+e[3*t+1][3*n].x)+-2*(e[3*t][3*n+3].x+e[3*t+3][3*n].x)+3*(e[3*t+3][3*n+1].x+e[3*t+1][3*n+3].x)+-1*e[3*t+3][3*n+3].x)/9,e[3*t+1][3*n+2].x=(-4*e[3*t][3*n+3].x+6*(e[3*t][3*n+2].x+e[3*t+1][3*n+3].x)+-2*(e[3*t][3*n].x+e[3*t+3][3*n+3].x)+3*(e[3*t+3][3*n+2].x+e[3*t+1][3*n].x)+-1*e[3*t+3][3*n].x)/9,e[3*t+2][3*n+1].x=(-4*e[3*t+3][3*n].x+6*(e[3*t+3][3*n+1].x+e[3*t+2][3*n].x)+-2*(e[3*t+3][3*n+3].x+e[3*t][3*n].x)+3*(e[3*t][3*n+1].x+e[3*t+2][3*n+3].x)+-1*e[3*t][3*n+3].x)/9,e[3*t+2][3*n+2].x=(-4*e[3*t+3][3*n+3].x+6*(e[3*t+3][3*n+2].x+e[3*t+2][3*n+3].x)+-2*(e[3*t+3][3*n].x+e[3*t][3*n+3].x)+3*(e[3*t][3*n+2].x+e[3*t+2][3*n].x)+-1*e[3*t][3*n].x)/9,e[3*t+1][3*n+1].y=(-4*e[3*t][3*n].y+6*(e[3*t][3*n+1].y+e[3*t+1][3*n].y)+-2*(e[3*t][3*n+3].y+e[3*t+3][3*n].y)+3*(e[3*t+3][3*n+1].y+e[3*t+1][3*n+3].y)+-1*e[3*t+3][3*n+3].y)/9,e[3*t+1][3*n+2].y=(-4*e[3*t][3*n+3].y+6*(e[3*t][3*n+2].y+e[3*t+1][3*n+3].y)+-2*(e[3*t][3*n].y+e[3*t+3][3*n+3].y)+3*(e[3*t+3][3*n+2].y+e[3*t+1][3*n].y)+-1*e[3*t+3][3*n].y)/9,e[3*t+2][3*n+1].y=(-4*e[3*t+3][3*n].y+6*(e[3*t+3][3*n+1].y+e[3*t+2][3*n].y)+-2*(e[3*t+3][3*n+3].y+e[3*t][3*n].y)+3*(e[3*t][3*n+1].y+e[3*t+2][3*n+3].y)+-1*e[3*t][3*n+3].y)/9,e[3*t+2][3*n+2].y=(-4*e[3*t+3][3*n+3].y+6*(e[3*t+3][3*n+2].y+e[3*t+2][3*n+3].y)+-2*(e[3*t+3][3*n].y+e[3*t][3*n+3].y)+3*(e[3*t][3*n+2].y+e[3*t+2][3*n].y)+-1*e[3*t][3*n].y)/9}}this.nodes=e,this.colors=s}paintMesh(t,e){let s=(this.nodes.length-1)/3,r=(this.nodes[0].length-1)/3;if(&quot;bilinear&quot;===this.type||s&lt;2||r&lt;2){let n;for(let o=0;o&lt;s;++o)for(let s=0;s&lt;r;++s){let r=[];for(let t=3*o,e=3*o+4;t&lt;e;++t)r.push(this.nodes[t].slice(3*s,3*s+4));let i=[];i.push(this.colors[o].slice(s,s+2)),i.push(this.colors[o+1].slice(s,s+2)),(n=new m(r,i)).paint(t,e)}}else{let n,o,a,h,l,d,u;const x=s,g=r;s++,r++;let w=new Array(s);for(let t=0;t&lt;s;++t){w[t]=new Array(r);for(let e=0;e&lt;r;++e)w[t][e]=[],w[t][e][0]=this.nodes[3*t][3*e],w[t][e][1]=this.colors[t][e]}for(let t=0;t&lt;s;++t)for(let e=0;e&lt;r;++e)0!==t&amp;&amp;t!==x&amp;&amp;(n=i(w[t-1][e][0],w[t][e][0]),o=i(w[t+1][e][0],w[t][e][0]),w[t][e][2]=c(w[t-1][e][1],w[t][e][1],w[t+1][e][1],n,o)),0!==e&amp;&amp;e!==g&amp;&amp;(n=i(w[t][e-1][0],w[t][e][0]),o=i(w[t][e+1][0],w[t][e][0]),w[t][e][3]=c(w[t][e-1][1],w[t][e][1],w[t][e+1][1],n,o));for(let t=0;t&lt;r;++t){w[0][t][2]=[],w[x][t][2]=[];for(let e=0;e&lt;4;++e)n=i(w[1][t][0],w[0][t][0]),o=i(w[x][t][0],w[x-1][t][0]),w[0][t][2][e]=n&gt;0?2*(w[1][t][1][e]-w[0][t][1][e])/n-w[1][t][2][e]:0,w[x][t][2][e]=o&gt;0?2*(w[x][t][1][e]-w[x-1][t][1][e])/o-w[x-1][t][2][e]:0}for(let t=0;t&lt;s;++t){w[t][0][3]=[],w[t][g][3]=[];for(let e=0;e&lt;4;++e)n=i(w[t][1][0],w[t][0][0]),o=i(w[t][g][0],w[t][g-1][0]),w[t][0][3][e]=n&gt;0?2*(w[t][1][1][e]-w[t][0][1][e])/n-w[t][1][3][e]:0,w[t][g][3][e]=o&gt;0?2*(w[t][g][1][e]-w[t][g-1][1][e])/o-w[t][g-1][3][e]:0}for(let s=0;s&lt;x;++s)for(let r=0;r&lt;g;++r){let n=i(w[s][r][0],w[s+1][r][0]),o=i(w[s][r+1][0],w[s+1][r+1][0]),c=i(w[s][r][0],w[s][r+1][0]),x=i(w[s+1][r][0],w[s+1][r+1][0]),g=[[],[],[],[]];for(let t=0;t&lt;4;++t){(d=[])[0]=w[s][r][1][t],d[1]=w[s+1][r][1][t],d[2]=w[s][r+1][1][t],d[3]=w[s+1][r+1][1][t],d[4]=w[s][r][2][t]*n,d[5]=w[s+1][r][2][t]*n,d[6]=w[s][r+1][2][t]*o,d[7]=w[s+1][r+1][2][t]*o,d[8]=w[s][r][3][t]*c,d[9]=w[s+1][r][3][t]*x,d[10]=w[s][r+1][3][t]*c,d[11]=w[s+1][r+1][3][t]*x,d[12]=0,d[13]=0,d[14]=0,d[15]=0,u=f(d);for(let e=0;e&lt;9;++e){g[t][e]=[];for(let s=0;s&lt;9;++s)g[t][e][s]=p(u,e/8,s/8),g[t][e][s]&gt;255?g[t][e][s]=255:g[t][e][s]&lt;0&amp;&amp;(g[t][e][s]=0)}}h=[];for(let t=3*s,e=3*s+4;t&lt;e;++t)h.push(this.nodes[t].slice(3*r,3*r+4));l=y(h);for(let s=0;s&lt;8;++s)for(let r=0;r&lt;8;++r)(a=new m(l[s][r],[[[g[0][s][r],g[1][s][r],g[2][s][r],g[3][s][r]],[g[0][s][r+1],g[1][s][r+1],g[2][s][r+1],g[3][s][r+1]]],[[g[0][s+1][r],g[1][s+1][r],g[2][s+1][r],g[3][s+1][r]],[g[0][s+1][r+1],g[1][s+1][r+1],g[2][s+1][r+1],g[3][s+1][r+1]]]])).paint(t,e)}}}transform(t){if(t instanceof x)for(let e=0,s=this.nodes.length;e&lt;s;++e)for(let s=0,r=this.nodes[0].length;s&lt;r;++s)this.nodes[e][s]=this.nodes[e][s].add(t);else if(t instanceof g)for(let e=0,s=this.nodes.length;e&lt;s;++e)for(let s=0,r=this.nodes[0].length;s&lt;r;++s)this.nodes[e][s]=this.nodes[e][s].transform(t)}scale(t){for(let e=0,s=this.nodes.length;e&lt;s;++e)for(let s=0,r=this.nodes[0].length;s&lt;r;++s)this.nodes[e][s]=this.nodes[e][s].scale(t)}}document.querySelectorAll(&quot;rect,circle,ellipse,path,text&quot;).forEach((r,n)=&gt;{let o=r.getAttribute(&quot;id&quot;);o||(o=&quot;patchjs_shape&quot;+n,r.setAttribute(&quot;id&quot;,o));const i=r.style.fill.match(/^url\(\s*&quot;?\s*#([^\s&quot;]+)&quot;?\s*\)/),a=r.style.stroke.match(/^url\(\s*&quot;?\s*#([^\s&quot;]+)&quot;?\s*\)/);if(i&amp;&amp;i[1]){const a=document.getElementById(i[1]);if(a&amp;&amp;&quot;meshgradient&quot;===a.nodeName){const i=r.getBBox();let l=document.createElementNS(s,&quot;canvas&quot;);d(l,{width:i.width,height:i.height});const c=l.getContext(&quot;2d&quot;);let u=c.createImageData(i.width,i.height);const f=new b(a);&quot;objectBoundingBox&quot;===a.getAttribute(&quot;gradientUnits&quot;)&amp;&amp;f.scale(new x(i.width,i.height));const p=a.getAttribute(&quot;gradientTransform&quot;);null!=p&amp;&amp;f.transform(h(p)),&quot;userSpaceOnUse&quot;===a.getAttribute(&quot;gradientUnits&quot;)&amp;&amp;f.transform(new x(-i.x,-i.y)),f.paintMesh(u.data,l.width),c.putImageData(u,0,0);const y=document.createElementNS(t,&quot;image&quot;);d(y,{width:i.width,height:i.height,x:i.x,y:i.y});let g=l.toDataURL();y.setAttributeNS(e,&quot;xlink:href&quot;,g),r.parentNode.insertBefore(y,r),r.style.fill=&quot;none&quot;;const w=document.createElementNS(t,&quot;use&quot;);w.setAttributeNS(e,&quot;xlink:href&quot;,&quot;#&quot;+o);const m=&quot;patchjs_clip&quot;+n,M=document.createElementNS(t,&quot;clipPath&quot;);M.setAttribute(&quot;id&quot;,m),M.appendChild(w),r.parentElement.insertBefore(M,r),y.setAttribute(&quot;clip-path&quot;,&quot;url(#&quot;+m+&quot;)&quot;),u=null,l=null,g=null}}if(a&amp;&amp;a[1]){const o=document.getElementById(a[1]);if(o&amp;&amp;&quot;meshgradient&quot;===o.nodeName){const i=parseFloat(r.style.strokeWidth.slice(0,-2))*(parseFloat(r.style.strokeMiterlimit)||parseFloat(r.getAttribute(&quot;stroke-miterlimit&quot;))||1),a=r.getBBox(),l=Math.trunc(a.width+i),c=Math.trunc(a.height+i),u=Math.trunc(a.x-i/2),f=Math.trunc(a.y-i/2);let p=document.createElementNS(s,&quot;canvas&quot;);d(p,{width:l,height:c});const y=p.getContext(&quot;2d&quot;);let g=y.createImageData(l,c);const w=new b(o);&quot;objectBoundingBox&quot;===o.getAttribute(&quot;gradientUnits&quot;)&amp;&amp;w.scale(new x(l,c));const m=o.getAttribute(&quot;gradientTransform&quot;);null!=m&amp;&amp;w.transform(h(m)),&quot;userSpaceOnUse&quot;===o.getAttribute(&quot;gradientUnits&quot;)&amp;&amp;w.transform(new x(-u,-f)),w.paintMesh(g.data,p.width),y.putImageData(g,0,0);const M=document.createElementNS(t,&quot;image&quot;);d(M,{width:l,height:c,x:0,y:0});let S=p.toDataURL();M.setAttributeNS(e,&quot;xlink:href&quot;,S);const k=&quot;pattern_clip&quot;+n,A=document.createElementNS(t,&quot;pattern&quot;);d(A,{id:k,patternUnits:&quot;userSpaceOnUse&quot;,width:l,height:c,x:u,y:f}),A.appendChild(M),o.parentNode.appendChild(A),r.style.stroke=&quot;url(#&quot;+k+&quot;)&quot;,g=null,p=null,S=null}}})}();
+</script>
+</svg>
-- 
GitLab