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Lienard -- Wiechert
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style> | |
| svg line {stroke: black; stroke-width: 3;} | |
| svg #arrow {stroke: red; stroke-width: 1;} | |
| svg circle {fill: red; stroke:black;} | |
| svg #image {opacity: 0.5;} | |
| .axis { font: 10px sans-serif; -webkit-user-select: none; -moz-user-select: none; user-select: none; } | |
| .axis .domain { fill: none; stroke: #000; stroke-opacity: .3; stroke-width: 10px; stroke-linecap: round; } | |
| .axis .halo { fill: none; stroke: #ddd; stroke-width: 8px; stroke-linecap: round; } | |
| .slider .handle { fill: #fff; stroke: #000; stroke-opacity: .5; stroke-width: 1.25px; pointer-events: none; } | |
| </style> | |
| <body> | |
| <table> | |
| <tr><td><svg></svg> | |
| <td> | |
| <table> | |
| <tr><td> β=v/c<td><div id="beta"></div> | |
| <tr><td> L/c <td><div id="L"></div> | |
| </table> | |
| </table> | |
| <script src="http://d3js.org/d3.v3.min.js"></script> | |
| <script src="Slider.js"></script> | |
| <script> | |
| var width = 500, height = 500; | |
| var svg = d3.select("svg") | |
| .attr("width", width) | |
| .attr("height", height); | |
| var beta = 0.8, | |
| L = 1; | |
| zoom = 2; | |
| var x = d3.scale.linear().range( [ 0, width]).domain([ -zoom/5, 9*zoom/5]); | |
| var y = d3.scale.linear().range( [height, 0]).domain([ -zoom, zoom]); | |
| svg.append('line').attr('id', 'rail1'); | |
| svg.append('line').attr('id', 'rail2'); | |
| svg.append('circle') | |
| .attr('id', 'charge1').attr('r',10) | |
| .attr('cx', x(0)).attr('cy', y(0)); | |
| svg.append('line').attr('id', 'arrow') | |
| .attr('x1', x(0)).attr('y1', y(0)); | |
| svg.append('circle') | |
| .attr('id', 'charge2').attr('r',10) | |
| .attr('cx', x( L)).attr('cy', y(0)); | |
| svg.append('circle') | |
| .attr('id', 'image').attr('r',10) | |
| .attr('cx', x( L)).attr('cy', y(0)); | |
| function redraw() | |
| { | |
| x = d3.scale.linear().range( [ 0, width]).domain([ -zoom/5, 9*zoom/5]); | |
| y = d3.scale.linear().range( [height, 0]).domain([ -zoom, zoom]); | |
| svg.select("#rail1") | |
| .attr('x1', x( 0)).attr('x2', x( 0)) | |
| .attr('y1', y(-zoom)).attr('y2', y( zoom)); | |
| svg.select("#rail2") | |
| .attr('x1', x( L)).attr('x2', x( L)) | |
| .attr('y1', y(-zoom)).attr('y2', y( zoom)); | |
| plot(t) | |
| } | |
| function plot(t) | |
| { | |
| var y2 = y(beta * t), | |
| T = (t-Math.sqrt(L*L-(L*L-t*t)*beta*beta))/(1-beta*beta); | |
| svg.select('#charge2') | |
| .attr('cx', x( L)).attr('cy', y(beta*t)); | |
| var x2 = L, y2 = beta*T, R = Math.sqrt(x2*x2+y2*y2) | |
| nx = x2/R, ny = y2/R, b2 = beta*beta; | |
| svg.select('#image') | |
| .attr('cx',x(x2)).attr('cy',y(y2)); | |
| var efactor = (1-beta*beta)/((1+beta*ny)*(1+beta*ny)*(1+beta*ny)*R*R); | |
| svg.select('#arrow') | |
| .attr('x2', x(efactor*nx)).attr('y2', y(efactor*(ny+beta))); | |
| } | |
| var t = -zoom/beta; | |
| redraw(); | |
| d3.timer(function() { plot(t); t += 0.01; if(t>zoom/beta) t=-zoom/beta;}); | |
| // var s1 = slider([0.1,5]); s1.value(0.2); | |
| // s1.callback(function(){ | |
| // zoom = 1/s1.value(); | |
| // redraw(); | |
| // }) | |
| // d3.select("#zoom").append("svg").call(s1); | |
| var s2 = slider([0.2,0.99]); s2.value(0.8); | |
| s2.callback(function(){ | |
| beta = s2.value(); | |
| t = -zoom/beta; | |
| redraw(); | |
| }) | |
| d3.select("#beta").append("svg").call(s2); | |
| var s3 = slider([0.5,5]); s3.value(1); | |
| s3.callback(function(){ | |
| L = s3.value(); | |
| t = -zoom/beta; | |
| redraw(); | |
| }) | |
| d3.select("#L").append("svg").call(s3); | |
| </script> | |
| </body> |
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| function slider(dom) | |
| { | |
| var margin = {top: 5, left: 15, right: 10, bottom: 5}, | |
| width = 300 - margin.left - margin.right, | |
| height = 40 - margin.top - margin.bottom, | |
| brush = d3.svg.brush(), | |
| handle, slider, | |
| value = 0, | |
| upd = function(d){value = d;}, | |
| cback = function(d){}; | |
| var x = d3.scale.linear() | |
| .domain(dom) | |
| .range ([0,width]) | |
| .clamp(true); | |
| function chart(el) | |
| { | |
| brush.x(x).extent([0,0]) | |
| .on("brush", brushed); | |
| var svg = el.attr("width", width + margin.left + margin.right) | |
| .attr("height", height + margin.top + margin.bottom) | |
| .append("g").attr("transform","translate(" + margin.left + "," + margin.top + ")"); | |
| svg.append("g") | |
| .attr("class","x axis") | |
| .attr("transform", "translate(0,"+height/2+")") | |
| .call(d3.svg.axis().scale(x).orient("bottom").tickSize(0).tickPadding(12)); | |
| slider = svg.append("g") | |
| .attr("class","slider") | |
| .call(brush); | |
| slider.selectAll(".extent,.resize").remove(); | |
| slider.select(".background").attr("height",height) | |
| handle = slider.append("circle") | |
| .attr("class","handle") | |
| .attr("transform", "translate(0,"+height/2+")") | |
| .attr("cx",x(value)) | |
| .attr("r",9); | |
| function brushed() | |
| { | |
| if (d3.event.sourceEvent) value = x.invert(d3.mouse(this)[0]); | |
| upd(value); | |
| cback(); | |
| } | |
| upd = function(v) | |
| { | |
| brush.extent([v,v]); | |
| value = brush.extent()[0]; | |
| handle.attr("cx",x(value)); | |
| } | |
| } | |
| chart.margin = function(_) { if (!arguments.length) return margin; margin = _; return chart; }; | |
| chart.callback = function(_) { if (!arguments.length) return cback; cback = _; return chart; }; | |
| chart.value = function(_) { if (!arguments.length) return value; upd(_); return chart; }; | |
| return chart; | |
| } |
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