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reflectometer_alignment_sim.html
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reflectometer_alignment_sim.html
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<!doctype html>
<html lang="en-us">
<head>
<meta charset="UTF-8">
<title>Reflectometer alignment</title>
<script src="//d3js.org/d3.v3.min.js" charset="utf-8"></script>
<script src="linePolygonIntersect.js"></script>
<script src="jquery-extend.js"></script>
<style type="text/css">
svg {
margin: 0px;
}
svg circle.neutron {
fill: blue;
}
svg polygon.detector {
fill: LightGrey;
cursor: move;
}
svg polygon.sample {
fill: green;
cursor: move;
}
svg polygon.sample-translate {
fill: green;
fill-opacity: 0;
cursor: move;
}
</style>
</head>
<body>
<script>
var width = 960,
height = 800,
xOffset = 0,
yOffset = 400,
apertureHeight = 40,
r = 2,
rate = 0.5, // per second
speed = 0.25,
wavelength = 5.0,
k_0 = 2*Math.PI/wavelength,
max_angle = 2.0 * Math.PI/180.0, // 5 degree
cx = 480,
cy = yOffset;
var sample_def = [{
"name": "sample",
"cx": cx,
"cy": cy,
"r": 7.5,
"angle": Math.PI*(0.5 - 1/30),
"thickness": 15,
"width": 125,
"sld": 1e-2
}]
var detector_def = [{
"name": "detector",
"cx": cx, // center of rotation
"cy": cy,
"r": 450,
"angle": Math.PI/8.0,
"max_angle": Math.PI/3.0,
"thickness": 30,
"width": 75
}];
var slits_def = [
{
"name": "slit1",
"aperture": 10,
"cx": cx, // center of rotation
"cy": cy,
"r": 400, // distance from center of rot.
"angle": Math.PI,
"thickness": 5,
"blade_width": 75
},
{
"name": "slit2",
"aperture": 10,
"cx": cx, // center of rotation
"cy": cy,
"r": 125, // distance from center of rot.
"angle": Math.PI,
"thickness": 5,
"blade_width": 75
},
{
"name": "slit3",
"aperture": 10,
"cx": cx, // center of rotation
"cy": cy,
"r": 125, // distance from center of rot.
"angle": detector_def[0].angle,
"thickness": 5,
"blade_width": 75
},
{
"name": "slit4",
"aperture": 10,
"cx": cx, // center of rotation
"cy": cy,
"r": 400, // distance from center of rot.
"angle": detector_def[0].angle,
"thickness": 5,
"blade_width": 75
}
];
var svg = d3.select("body").append("svg")
.attr({
width: width,
height: height
});
var defs = svg.append("defs")
defs.append("marker")
.attr("id", "marker-arrow-end")
.attr("markerWidth", 5)
.attr("markerHeight", 5)
.attr("markerUnits", "strokeWidth")
.attr("refx", 0)
.attr("refy", 0)
.attr("orient", "auto")
.attr('viewBox', '-5 -5 10 10')
.append("path")
.attr("d", "M 0,0 m -5,-5 L 5,0 L -5,5 Z")
.classed("marker", true)
.attr("fill", "lightGrey")
defs.append("marker")
.attr("id", "marker-arrow-start")
.attr("markerWidth", 5)
.attr("markerHeight", 5)
.attr("markerUnits", "strokeWidth")
.attr("refx", 0)
.attr("refy", 0)
.attr("orient", "auto")
.attr('viewBox', '-5 -5 10 10')
.append("path")
.attr("d", "M 0,0 m 5,-5 L -5,0 L 5,5 Z")
.classed("marker", true)
.attr("fill", "lightGrey")
var slit = svg.selectAll("g.slit")
.data(slits_def)
.enter().append("g")
.classed("slit", true)
function render_slit_blade(above) {
var renderer = function(d) {
var sign = (above) ? 1 : -1;
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
x = d.cx + c * d.r,
y = d.cy + s * d.r,
dax = sign*s*d.aperture/2.0,
day = -sign*c*d.aperture/2.0,
dbx = sign*s*d.blade_width,
dby = -sign*c*d.blade_width;
points = "";
points += (x + dax + (c*d.thickness/2.0)).toFixed() + ",";
points += (y + day + (s*d.thickness/2.0)).toFixed() + " ";
points += (x + dax - (c*d.thickness/2.0)).toFixed() + ",";
points += (y + day - (s*d.thickness/2.0)).toFixed() + " ";
points += (x + dax + dbx - (c*d.thickness/2.0)).toFixed() + ",";
points += (y + day + dby - (s*d.thickness/2.0)).toFixed() + " ";
points += (x + dax + dbx + (c*d.thickness/2.0)).toFixed() + ",";
points += (y + day + dby + (s*d.thickness/2.0)).toFixed() + " ";
return points
}
return renderer;
}
var render_slit_above = render_slit_blade(true);
var render_slit_below = render_slit_blade(false);
slit.append("polygon")
.classed("above", true)
.attr("points", render_slit_above)
slit.append("polygon")
.classed("below", true)
.attr("points", render_slit_below)
function render_detector(d){
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
x = d.cx + c * d.r,
y = d.cy + s * d.r,
dbx = -s*d.width,
dby = c*d.width;
points = "";
points += (x - dbx/2 + (c*d.thickness/2.0)).toFixed() + ",";
points += (y - dby/2 + (s*d.thickness/2.0)).toFixed() + " ";
points += (x - dbx/2 - (c*d.thickness/2.0)).toFixed() + ",";
points += (y - dby/2 - (s*d.thickness/2.0)).toFixed() + " ";
points += (x + dbx/2 - (c*d.thickness/2.0)).toFixed() + ",";
points += (y + dby/2 - (s*d.thickness/2.0)).toFixed() + " ";
points += (x + dbx/2 + (c*d.thickness/2.0)).toFixed() + ",";
points += (y + dby/2 + (s*d.thickness/2.0)).toFixed() + " ";
return points
}
var detector = svg.selectAll(".detector")
.data(detector_def)
.enter().append("polygon")
.classed("detector", true)
.attr("points", render_detector)
var detector_bb = svg.selectAll("polygon.detector")[0].map(function(p) {return p.getBBox()});
var slits_bb = svg.selectAll("g.slit polygon")[0].map(function(p) {return p.getBBox()});
var drag_detector = d3.behavior.drag()
.on("drag", dragmove_detector)
.origin(function(d) {
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
x = d.cx + c * d.r,
y = d.cy + s * d.r;
return {x: x, y: y}
})
function dragmove_detector(d) {
//if (!d3.select(this).classed("draggable")) {return}
var new_angle = Math.atan2(d3.event.y - d.cy, d3.event.x - d.cx)
if (d.max_angle != null) {
new_angle = Math.max(-d.max_angle, Math.min(new_angle, d.max_angle));
}
d.angle = new_angle;
slits_def[2].angle = slits_def[3].angle = new_angle;
d3.select(this).attr("points", render_detector);
svg.selectAll("g.slit polygon.above")
.attr("points", render_slit_above)
svg.selectAll("g.slit polygon.below")
.attr("points", render_slit_below)
detector_bb = svg.selectAll("polygon.detector")[0].map(function(p) {return p.getBBox()});
slits_bb = svg.selectAll("g.slit polygon")[0].map(function(p) {return p.getBBox()});
}
detector.call(drag_detector);
var show_rotators = function(d) {
if (d._translating) {return}
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
dw = (d.width + 30)/2;
var path = "M";
path += (d.cx - s*dw + c*dw*0.75).toFixed() + " ";
path += (d.cy + c*dw + s*dw*0.75).toFixed() + " ";
path += "A ";
path += dw.toFixed() + " ";
path += dw.toFixed() + " ";
path += "0 0 1 ";
path += (d.cx - s*dw - c*dw*0.75).toFixed() + " ";
path += (d.cy + c*dw - s*dw*0.75).toFixed() + " ";
var indicator1 = svg.append("path")
.classed("rotator", true)
.attr("d", function() {return path})
.attr("marker-start", "url(#marker-arrow-start)")
.attr("marker-end", "url(#marker-arrow-end)")
.style("stroke-width", "5")
.style("stroke", "lightGrey")
.style("fill", "none")
var path = "M";
path += (d.cx + s*dw - c*dw*0.75).toFixed() + " ";
path += (d.cy - c*dw - s*dw*0.75).toFixed() + " ";
path += "A ";
path += dw.toFixed() + " ";
path += dw.toFixed() + " ";
path += "0 0 1 ";
path += (d.cx + s*dw + c*dw*0.75).toFixed() + " ";
path += (d.cy - c*dw + s*dw*0.75).toFixed() + " ";
var indicator2 = svg.append("path")
.classed("rotator", true)
.attr("d", function() {return path})
.attr("marker-start", "url(#marker-arrow-start)")
.attr("marker-end", "url(#marker-arrow-end)")
.style("stroke-width", "5")
.style("stroke", "lightGrey")
.style("fill", "none")
}
var sample = svg.selectAll(".sample")
.data(sample_def)
.enter().append("polygon")
.classed("sample", true)
.attr("points", render_detector)
.on("mouseover", show_rotators)
.on("mouseout", function(d) {svg.selectAll("path.rotator").remove()})
var sample_bb = svg.selectAll("polygon.sample")[0].map(function(p) {return p.getBBox()});
var dragr_sample = d3.behavior.drag()
.on("drag", dragrotate_sample)
.on("dragstart", function(d) {d._rotating = true})
.on("dragend", function(d) {
d.ref_angle = null;
d._rotating = false;
svg.selectAll("path.rotator").remove();
})
function dragrotate_sample(d) {
//if (!d3.select(this).classed("draggable")) {return}
var new_angle = Math.atan2(d3.event.y - d.cy, d3.event.x - d.cx);
if (d.ref_angle == null) {
d.ref_angle = new_angle - d.angle;
return
}
d.angle = new_angle - d.ref_angle;
d3.select(this).attr("points", render_detector);
svg.select("polygon.sample-translate").attr("points", render_sample_smaller);
svg.selectAll("path.rotator").remove();
show_rotators(d);
sample_bb = svg.selectAll("polygon.sample")[0].map(function(p) {return p.getBBox()});
}
sample.call(dragr_sample);
var sample_translator = svg.selectAll(".sample-translate")
.data(sample_def)
.enter().append("polygon")
.classed("sample-translate", true)
.attr("points", render_sample_smaller)
.on("mouseover", show_translators)
.on("mouseout", function(d) {svg.selectAll("path.translator").remove()})
function render_sample_smaller(d) {
var dd = jQuery.extend(true, {}, d);
dd.width -= 75;
return render_detector(dd);
}
var dragt_sample = d3.behavior.drag()
.on("drag", dragtranslate_sample)
.on("dragstart", function(d) {d._translating = true})
.on("dragend", function(d) {
svg.selectAll("path.translator").remove();
d._translating = false;
})
function dragtranslate_sample(d) {
//if (!d3.select(this).classed("draggable")) {return}
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
new_r = s*(d3.event.y - d.cy) + c*(d3.event.x - d.cx);
d.r = new_r;
svg.select("polygon.sample").attr("points", render_detector);
svg.select("polygon.sample-translate").attr("points", render_sample_smaller);
svg.selectAll("path.translator").remove();
show_translators(d);
sample_bb = svg.selectAll("polygon.sample")[0].map(function(p) {return p.getBBox()});
}
sample_translator.call(dragt_sample);
function show_translators(d) {
if (d._rotating) { return }
var s = Math.sin(d.angle),
c = Math.cos(d.angle),
x = d.cx + c * d.r,
y = d.cy + s * d.r;
dw = (d.width + 30)/2;
var path = "M";
path += (x + c*(d.thickness/2 + 30)).toFixed() + " ";
path += (y + s*(d.thickness/2 + 30)).toFixed() + " ";
path += "L ";
path += (x + c*(d.thickness/2 + 130)).toFixed() + " ";
path += (y + s*(d.thickness/2 + 130)).toFixed() + " ";
var indicator1 = svg.append("path")
.classed("translator", true)
.attr("d", function() {return path})
.attr("marker-end", "url(#marker-arrow-end)")
.style("stroke-width", "5")
.style("stroke", "lightGrey")
.style("fill", "none")
var path = "M";
path += (x - c*(d.thickness/2 + 30)).toFixed() + " ";
path += (y - s*(d.thickness/2 + 30)).toFixed() + " ";
path += "L ";
path += (x - c*(d.thickness/2 + 130)).toFixed() + " ";
path += (y - s*(d.thickness/2 + 130)).toFixed() + " ";
var indicator2 = svg.append("path")
.classed("translator", true)
.attr("d", function() {return path})
.attr("marker-end", "url(#marker-arrow-end)")
.style("stroke-width", "5")
.style("stroke", "lightGrey")
.style("fill", "none")
}
function reflection_probability(angle, outer, sld, k_0) {
var k_0z = Math.sin(angle) * k_0,
k_0z_sq = k_0z * k_0z,
potential = 4*Math.PI*sld;
if (outer) {
if (k_0z_sq < potential) {
return 1.0;
}
else {
var n1 = Math.sqrt(1.0 - potential/k_0z_sq),
n0 = 1;
var r = (n1 - n0) / (n1 + n0);
return r*r;
}
} else {
var n1 = Math.sqrt(1.0 + potential/k_0z_sq),
n0 = 1;
var r = (n1 - n0) / (n1 + n0);
return r*r;
}
}
svg.append("circle")
.classed("center-point", true)
.attr("r", r)
.attr("cx", cx)
.attr("cy", cy)
.style("fill", "red")
var gauss = d3.random.normal(0,1);
var t = d3.timer(tick);
var td = d3.timer(draw);
var ticker; // = setInterval(tick, 20);
var particles = [];
var part_id = 0,
prev_elapsed = 0,
detected = [];
function draw(elapsed) {
var neutrons = svg.selectAll("circle.neutron");
neutrons
.attr("cx", function(d) { return d.x })
.attr("cy", function(d) { return d.y })
}
function detection_handler(elapsed) {
detected.push(elapsed);
}
function tick(elapsed) {
//var elapsed = elapsed || (new Date()).getTime();
var neutrons = svg.selectAll("circle.neutron");
neutrons.each(function(d) {
var newx = d.x_start + (elapsed - d.t0) * d.vx;
d.old_x = d.x;
d.x = newx;
var newy = d.y_start + (elapsed - d.t0) * d.vy;
d.old_y = d.y;
d.y = newy;
})
var dt = 1000.0/60.0;
var number = Math.ceil(1000.0/dt * rate);
for (var i=0; i<number; i++) {
var particle = {
y_start: (Math.random() - 0.5)*apertureHeight + yOffset,
x_start: (gauss() - 1.0) * speed * 20 * dt,
angle: (Math.random() - 0.5) * max_angle,
speed: speed, //*(1.0 + 0.03*(Math.random() - 0.5)),
t0: elapsed,
id: part_id++
}
particle.vx = Math.cos(particle.angle) * particle.speed;
particle.x = particle.x_start;
particle.vy = Math.sin(particle.angle) * particle.speed;
particle.y = particle.y_start;
//console.log(dt, particle.x_start);
particles.push(particle)
}
//if (particles.length > 1000) {
// clearInterval(ticker)
//}
var update_sel = svg.selectAll("circle.neutron")
.data(particles, function(d) {return d.id})
update_sel.enter()
.append("circle")
.classed("neutron", true)
.attr("cx", 0)
.attr("cy", function(d) {return d.y_start})
.attr("r", r)
//.attr("fill", "blue")
//var neutrons = svg.selectAll("circle.neutron")
/*
neutrons
.attr("cx", function(d) {
var newx = d.x_start + (elapsed - d.t0) * d.vx;
d.old_x = d.x;
d.x = newx;
//if (newx > width) {d.reap = true};
return newx;
})
.attr("cy", function(d) {
var newy = d.y_start + (elapsed - d.t0) * d.vy;
d.old_y = d.y;
d.y = newy;
//if (newy > height) {d.reap = true};
return newy;
})
*/
var slits_poly = svg.selectAll("g.slit polygon")[0];
//var slits_bb = slits_poly.map(function(p) {return p.getBBox()});
var det_poly = svg.selectAll("polygon.detector")[0];
//var detector_bb = det_poly.map(function(p) {return p.getBBox()});
var sample_poly = svg.selectAll("polygon.sample")[0];
//var sample_bb = sample_poly.map(function(p) {return p.getBBox()});
neutrons.each(function(d) {
if (d.y > height || d.x > width) {d.reap = true; return}
var step_x = Math.abs(d.x - d.old_x);
var step_y = Math.abs(d.y - d.old_y);
var line = [{x: d.old_x, y: d.old_y}, {x: d.x, y: d.y}];
for (var p=0; p<slits_poly.length; p++) {
var poly_points = slits_poly[p].points;
var bb = slits_bb[p];
if (d.x > (bb.x - step_x) &&
d.x < (bb.x + bb.width + step_x) &&
d.y > (bb.y - step_y) &&
d.y < (bb.y + bb.height + step_y)) {
var slit_intersects = linePolygonIntersects(line, poly_points, true);
if (slit_intersects.length > 0) {
d.reap = true;
continue
}
}
}
for (var det=0; det<det_poly.length; det++) {
var bb = detector_bb[det];
if (d.x > (bb.x - step_x) &&
d.x < (bb.x + bb.width + step_x) &&
d.y > (bb.y - step_y) &&
d.y < (bb.y + bb.height + step_y)) {
var detector_intersect = linePolygonIntersects(line, det_poly[det].points, true);
if (detector_intersect.length > 0) {
d.reap = true;
detection_handler(elapsed);
continue;
}
}
}
for (var sam=0; sam<sample_poly.length; sam++) {
var bb = sample_bb[sam];
if (d.x > (bb.x - step_x) &&
d.x < (bb.x + bb.width + step_x) &&
d.y > (bb.y - step_y) &&
d.y < (bb.y + bb.height + step_y)) {
var sample_intersect = linePolygonIntersects(line, sample_poly[sam].points, true, true);
if (sample_intersect.length > 0) {
var intersect = sample_intersect[0];
var sld = sample_def[0].sld;
var prob = reflection_probability(intersect.rel_angle, intersect.outer, sld, k_0);
if (Math.random() < prob) {
d.x_start = intersect.x;
d.y_start = intersect.y;
d.t0 = elapsed;
d.vx = intersect.reflection.x * d.speed;
d.vy = intersect.reflection.y * d.speed;
d.x = intersect.x + d.vx * (1-intersect.v) * d.speed;
d.y = intersect.y + d.vy * (1-intersect.v) * d.speed;
}
continue;
}
}
}
})
//console.log("before: ", particles.length)
particles = particles.filter(function(d,i) {return (d.reap != true)});
//console.log("after: ", particles.length)
svg.selectAll("circle.neutron")
.data(particles, function(d) {return d.id})
.exit().remove();
// remove and re-add the center point to the svg (so it is on top)
var center_point = svg.select("circle.center-point").node()
svg.node().appendChild(svg.node().removeChild(center_point));
}
</script>
</body>
</html>