583 lines
18 KiB
Python
583 lines
18 KiB
Python
# -*- coding: utf-8 -*-
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from PyQt4 import QtGui, QtCore
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import pyqtgraph as pg
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#from pyqtgraph.canvas import Canvas, CanvasItem
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import numpy as np
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import csv, gzip, os
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from pyqtgraph import Point
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class GlassDB:
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"""
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Database of dispersion coefficients for Schott glasses
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+ Corning 7980
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"""
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def __init__(self, fileName='schott_glasses.csv'):
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path = os.path.dirname(__file__)
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fh = gzip.open(os.path.join(path, 'schott_glasses.csv.gz'), 'rb')
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r = csv.reader(map(str, fh.readlines()))
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lines = [x for x in r]
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self.data = {}
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header = lines[0]
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for l in lines[1:]:
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info = {}
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for i in range(1, len(l)):
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info[header[i]] = l[i]
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self.data[l[0]] = info
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self.data['Corning7980'] = { ## Thorlabs UV fused silica--not in schott catalog.
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'B1': 0.68374049400,
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'B2': 0.42032361300,
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'B3': 0.58502748000,
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'C1': 0.00460352869,
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'C2': 0.01339688560,
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'C3': 64.49327320000,
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'TAUI25/250': 0.95, ## transmission data is fabricated, but close.
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'TAUI25/1400': 0.98,
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}
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for k in self.data:
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self.data[k]['ior_cache'] = {}
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def ior(self, glass, wl):
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"""
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Return the index of refraction for *glass* at wavelength *wl*.
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The *glass* argument must be a key in self.data.
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"""
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info = self.data[glass]
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cache = info['ior_cache']
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if wl not in cache:
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B = list(map(float, [info['B1'], info['B2'], info['B3']]))
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C = list(map(float, [info['C1'], info['C2'], info['C3']]))
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w2 = (wl/1000.)**2
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n = np.sqrt(1.0 + (B[0]*w2 / (w2-C[0])) + (B[1]*w2 / (w2-C[1])) + (B[2]*w2 / (w2-C[2])))
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cache[wl] = n
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return cache[wl]
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def transmissionCurve(self, glass):
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data = self.data[glass]
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keys = [int(x[7:]) for x in data.keys() if 'TAUI25' in x]
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keys.sort()
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curve = np.empty((2,len(keys)))
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for i in range(len(keys)):
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curve[0][i] = keys[i]
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key = 'TAUI25/%d' % keys[i]
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val = data[key]
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if val == '':
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val = 0
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else:
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val = float(val)
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curve[1][i] = val
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return curve
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GLASSDB = GlassDB()
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def wlPen(wl):
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"""Return a pen representing the given wavelength"""
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l1 = 400
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l2 = 700
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hue = np.clip(((l2-l1) - (wl-l1)) * 0.8 / (l2-l1), 0, 0.8)
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val = 1.0
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if wl > 700:
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val = 1.0 * (((700-wl)/700.) + 1)
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elif wl < 400:
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val = wl * 1.0/400.
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#print hue, val
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color = pg.hsvColor(hue, 1.0, val)
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pen = pg.mkPen(color)
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return pen
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class ParamObj:
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# Just a helper for tracking parameters and responding to changes
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def __init__(self):
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self.__params = {}
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def __setitem__(self, item, val):
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self.setParam(item, val)
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def setParam(self, param, val):
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self.setParams(**{param:val})
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def setParams(self, **params):
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"""Set parameters for this optic. This is a good function to override for subclasses."""
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self.__params.update(params)
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self.paramStateChanged()
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def paramStateChanged(self):
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pass
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def __getitem__(self, item):
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return self.getParam(item)
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def getParam(self, param):
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return self.__params[param]
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class Optic(pg.GraphicsObject, ParamObj):
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sigStateChanged = QtCore.Signal()
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def __init__(self, gitem, **params):
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ParamObj.__init__(self)
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pg.GraphicsObject.__init__(self) #, [0,0], [1,1])
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self.gitem = gitem
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self.surfaces = gitem.surfaces
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gitem.setParentItem(self)
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self.roi = pg.ROI([0,0], [1,1])
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self.roi.addRotateHandle([1, 1], [0.5, 0.5])
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self.roi.setParentItem(self)
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defaults = {
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'pos': Point(0,0),
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'angle': 0,
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}
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defaults.update(params)
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self._ior_cache = {}
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self.roi.sigRegionChanged.connect(self.roiChanged)
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self.setParams(**defaults)
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def updateTransform(self):
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self.resetTransform()
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self.setPos(0, 0)
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self.translate(Point(self['pos']))
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self.rotate(self['angle'])
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def setParam(self, param, val):
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ParamObj.setParam(self, param, val)
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def paramStateChanged(self):
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"""Some parameters of the optic have changed."""
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# Move graphics item
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self.gitem.setPos(Point(self['pos']))
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self.gitem.resetTransform()
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self.gitem.rotate(self['angle'])
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# Move ROI to match
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try:
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self.roi.sigRegionChanged.disconnect(self.roiChanged)
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br = self.gitem.boundingRect()
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o = self.gitem.mapToParent(br.topLeft())
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self.roi.setAngle(self['angle'])
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self.roi.setPos(o)
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self.roi.setSize([br.width(), br.height()])
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finally:
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self.roi.sigRegionChanged.connect(self.roiChanged)
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self.sigStateChanged.emit()
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def roiChanged(self, *args):
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pos = self.roi.pos()
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# rotate gitem temporarily so we can decide where it will need to move
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self.gitem.resetTransform()
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self.gitem.rotate(self.roi.angle())
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br = self.gitem.boundingRect()
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o1 = self.gitem.mapToParent(br.topLeft())
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self.setParams(angle=self.roi.angle(), pos=pos + (self.gitem.pos() - o1))
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def boundingRect(self):
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return QtCore.QRectF()
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def paint(self, p, *args):
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pass
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def ior(self, wavelength):
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return GLASSDB.ior(self['glass'], wavelength)
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class Lens(Optic):
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def __init__(self, **params):
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defaults = {
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'dia': 25.4, ## diameter of lens
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'r1': 50., ## positive means convex, use 0 for planar
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'r2': 0, ## negative means convex
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'd': 4.0,
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'glass': 'N-BK7',
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'reflect': False,
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}
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defaults.update(params)
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d = defaults.pop('d')
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defaults['x1'] = -d/2.
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defaults['x2'] = d/2.
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gitem = CircularSolid(brush=(100, 100, 130, 100), **defaults)
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Optic.__init__(self, gitem, **defaults)
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def propagateRay(self, ray):
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"""Refract, reflect, absorb, and/or scatter ray. This function may create and return new rays"""
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"""
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NOTE:: We can probably use this to compute refractions faster: (from GLSL 120 docs)
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For the incident vector I and surface normal N, and the
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ratio of indices of refraction eta, return the refraction
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vector. The result is computed by
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k = 1.0 - eta * eta * (1.0 - dot(N, I) * dot(N, I))
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if (k < 0.0)
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return genType(0.0)
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else
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return eta * I - (eta * dot(N, I) + sqrt(k)) * N
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The input parameters for the incident vector I and the
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surface normal N must already be normalized to get the
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desired results. eta == ratio of IORs
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For reflection:
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For the incident vector I and surface orientation N,
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returns the reflection direction:
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I – 2 ∗ dot(N, I) ∗ N
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N must already be normalized in order to achieve the
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desired result.
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"""
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iors = [self.ior(ray['wl']), 1.0]
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for i in [0,1]:
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surface = self.surfaces[i]
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ior = iors[i]
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p1, ai = surface.intersectRay(ray)
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#print "surface intersection:", p1, ai*180/3.14159
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#trans = self.sceneTransform().inverted()[0] * surface.sceneTransform()
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#p1 = trans.map(p1)
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if p1 is None:
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ray.setEnd(None)
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break
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p1 = surface.mapToItem(ray, p1)
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#print "adjusted position:", p1
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#ior = self.ior(ray['wl'])
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rd = ray['dir']
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a1 = np.arctan2(rd[1], rd[0])
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ar = a1 - ai + np.arcsin((np.sin(ai) * ray['ior'] / ior))
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#print [x for x in [a1, ai, (np.sin(ai) * ray['ior'] / ior), ar]]
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#print ai, np.sin(ai), ray['ior'], ior
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ray.setEnd(p1)
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dp = Point(np.cos(ar), np.sin(ar))
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#p2 = p1+dp
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#p1p = self.mapToScene(p1)
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#p2p = self.mapToScene(p2)
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#dpp = Point(p2p-p1p)
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ray = Ray(parent=ray, ior=ior, dir=dp)
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return [ray]
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class Mirror(Optic):
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def __init__(self, **params):
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defaults = {
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'r1': 0,
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'r2': 0,
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'd': 0.01,
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}
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defaults.update(params)
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d = defaults.pop('d')
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defaults['x1'] = -d/2.
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defaults['x2'] = d/2.
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gitem = CircularSolid(brush=(100,100,100,255), **defaults)
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Optic.__init__(self, gitem, **defaults)
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def propagateRay(self, ray):
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"""Refract, reflect, absorb, and/or scatter ray. This function may create and return new rays"""
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surface = self.surfaces[0]
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p1, ai = surface.intersectRay(ray)
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if p1 is not None:
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p1 = surface.mapToItem(ray, p1)
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rd = ray['dir']
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a1 = np.arctan2(rd[1], rd[0])
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ar = a1 + np.pi - 2*ai
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ray.setEnd(p1)
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dp = Point(np.cos(ar), np.sin(ar))
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ray = Ray(parent=ray, dir=dp)
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else:
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ray.setEnd(None)
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return [ray]
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class CircularSolid(pg.GraphicsObject, ParamObj):
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"""GraphicsObject with two circular or flat surfaces."""
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def __init__(self, pen=None, brush=None, **opts):
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"""
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Arguments for each surface are:
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x1,x2 - position of center of _physical surface_
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r1,r2 - radius of curvature
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d1,d2 - diameter of optic
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"""
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defaults = dict(x1=-2, r1=100, d1=25.4, x2=2, r2=100, d2=25.4)
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defaults.update(opts)
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ParamObj.__init__(self)
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self.surfaces = [CircleSurface(defaults['r1'], defaults['d1']), CircleSurface(-defaults['r2'], defaults['d2'])]
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pg.GraphicsObject.__init__(self)
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for s in self.surfaces:
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s.setParentItem(self)
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if pen is None:
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self.pen = pg.mkPen((220,220,255,200), width=1, cosmetic=True)
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else:
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self.pen = pg.mkPen(pen)
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if brush is None:
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self.brush = pg.mkBrush((230, 230, 255, 30))
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else:
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self.brush = pg.mkBrush(brush)
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self.setParams(**defaults)
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def paramStateChanged(self):
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self.updateSurfaces()
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def updateSurfaces(self):
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self.surfaces[0].setParams(self['r1'], self['d1'])
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self.surfaces[1].setParams(-self['r2'], self['d2'])
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self.surfaces[0].setPos(self['x1'], 0)
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self.surfaces[1].setPos(self['x2'], 0)
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self.path = QtGui.QPainterPath()
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self.path.connectPath(self.surfaces[0].path.translated(self.surfaces[0].pos()))
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self.path.connectPath(self.surfaces[1].path.translated(self.surfaces[1].pos()).toReversed())
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self.path.closeSubpath()
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def boundingRect(self):
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return self.path.boundingRect()
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def shape(self):
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return self.path
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def paint(self, p, *args):
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p.setRenderHints(p.renderHints() | p.Antialiasing)
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p.setPen(self.pen)
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p.fillPath(self.path, self.brush)
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p.drawPath(self.path)
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class CircleSurface(pg.GraphicsObject):
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def __init__(self, radius=None, diameter=None):
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"""center of physical surface is at 0,0
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radius is the radius of the surface. If radius is None, the surface is flat.
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diameter is of the optic's edge."""
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pg.GraphicsObject.__init__(self)
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self.r = radius
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self.d = diameter
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self.mkPath()
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def setParams(self, r, d):
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self.r = r
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self.d = d
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self.mkPath()
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def mkPath(self):
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self.prepareGeometryChange()
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r = self.r
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d = self.d
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h2 = d/2.
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self.path = QtGui.QPainterPath()
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if r == 0: ## flat surface
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self.path.moveTo(0, h2)
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self.path.lineTo(0, -h2)
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else:
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## half-height of surface can't be larger than radius
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h2 = min(h2, abs(r))
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#dx = abs(r) - (abs(r)**2 - abs(h2)**2)**0.5
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#p.moveTo(-d*w/2.+ d*dx, d*h2)
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arc = QtCore.QRectF(0, -r, r*2, r*2)
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#self.surfaces.append((arc.center(), r, h2))
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a1 = np.arcsin(h2/r) * 180. / np.pi
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a2 = -2*a1
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a1 += 180.
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self.path.arcMoveTo(arc, a1)
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self.path.arcTo(arc, a1, a2)
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#if d == -1:
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#p1 = QtGui.QPainterPath()
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#p1.addRect(arc)
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#self.paths.append(p1)
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self.h2 = h2
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def boundingRect(self):
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return self.path.boundingRect()
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def paint(self, p, *args):
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return ## usually we let the optic draw.
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#p.setPen(pg.mkPen('r'))
|
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#p.drawPath(self.path)
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def intersectRay(self, ray):
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## return the point of intersection and the angle of incidence
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#print "intersect ray"
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h = self.h2
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r = self.r
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p, dir = ray.currentState(relativeTo=self) # position and angle of ray in local coords.
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#print " ray: ", p, dir
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p = p - Point(r, 0) ## move position so center of circle is at 0,0
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#print " adj: ", p, r
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if r == 0:
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#print " flat"
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if dir[0] == 0:
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y = 0
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else:
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||
y = p[1] - p[0] * dir[1]/dir[0]
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||
if abs(y) > h:
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return None, None
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||
else:
|
||
return (Point(0, y), np.arctan2(dir[1], dir[0]))
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||
else:
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||
#print " curve"
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||
## find intersection of circle and line (quadratic formula)
|
||
dx = dir[0]
|
||
dy = dir[1]
|
||
dr = (dx**2 + dy**2) ** 0.5
|
||
D = p[0] * (p[1]+dy) - (p[0]+dx) * p[1]
|
||
idr2 = 1.0 / dr**2
|
||
disc = r**2 * dr**2 - D**2
|
||
if disc < 0:
|
||
return None, None
|
||
disc2 = disc**0.5
|
||
if dy < 0:
|
||
sgn = -1
|
||
else:
|
||
sgn = 1
|
||
|
||
|
||
br = self.path.boundingRect()
|
||
x1 = (D*dy + sgn*dx*disc2) * idr2
|
||
y1 = (-D*dx + abs(dy)*disc2) * idr2
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||
if br.contains(x1+r, y1):
|
||
pt = Point(x1, y1)
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||
else:
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||
x2 = (D*dy - sgn*dx*disc2) * idr2
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||
y2 = (-D*dx - abs(dy)*disc2) * idr2
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||
pt = Point(x2, y2)
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||
if not br.contains(x2+r, y2):
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return None, None
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||
raise Exception("No intersection!")
|
||
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||
norm = np.arctan2(pt[1], pt[0])
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if r < 0:
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||
norm += np.pi
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||
#print " norm:", norm*180/3.1415
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||
dp = p - pt
|
||
#print " dp:", dp
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||
ang = np.arctan2(dp[1], dp[0])
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||
#print " ang:", ang*180/3.1415
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||
#print " ai:", (ang-norm)*180/3.1415
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||
|
||
#print " intersection:", pt
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||
return pt + Point(r, 0), ang-norm
|
||
|
||
|
||
class Ray(pg.GraphicsObject, ParamObj):
|
||
"""Represents a single straight segment of a ray"""
|
||
|
||
sigStateChanged = QtCore.Signal()
|
||
|
||
def __init__(self, **params):
|
||
ParamObj.__init__(self)
|
||
defaults = {
|
||
'ior': 1.0,
|
||
'wl': 500,
|
||
'end': None,
|
||
'dir': Point(1,0),
|
||
}
|
||
self.params = {}
|
||
pg.GraphicsObject.__init__(self)
|
||
self.children = []
|
||
parent = params.get('parent', None)
|
||
if parent is not None:
|
||
defaults['start'] = parent['end']
|
||
defaults['wl'] = parent['wl']
|
||
self['ior'] = parent['ior']
|
||
self['dir'] = parent['dir']
|
||
parent.addChild(self)
|
||
|
||
defaults.update(params)
|
||
defaults['dir'] = Point(defaults['dir'])
|
||
self.setParams(**defaults)
|
||
self.mkPath()
|
||
|
||
def clearChildren(self):
|
||
for c in self.children:
|
||
c.clearChildren()
|
||
c.setParentItem(None)
|
||
self.scene().removeItem(c)
|
||
self.children = []
|
||
|
||
def paramStateChanged(self):
|
||
pass
|
||
|
||
def addChild(self, ch):
|
||
self.children.append(ch)
|
||
ch.setParentItem(self)
|
||
|
||
def currentState(self, relativeTo=None):
|
||
pos = self['start']
|
||
dir = self['dir']
|
||
if relativeTo is None:
|
||
return pos, dir
|
||
else:
|
||
trans = self.itemTransform(relativeTo)[0]
|
||
p1 = trans.map(pos)
|
||
p2 = trans.map(pos + dir)
|
||
return Point(p1), Point(p2-p1)
|
||
|
||
|
||
def setEnd(self, end):
|
||
self['end'] = end
|
||
self.mkPath()
|
||
|
||
def boundingRect(self):
|
||
return self.path.boundingRect()
|
||
|
||
def paint(self, p, *args):
|
||
#p.setPen(pg.mkPen((255,0,0, 150)))
|
||
p.setRenderHints(p.renderHints() | p.Antialiasing)
|
||
p.setCompositionMode(p.CompositionMode_Plus)
|
||
p.setPen(wlPen(self['wl']))
|
||
p.drawPath(self.path)
|
||
|
||
def mkPath(self):
|
||
self.prepareGeometryChange()
|
||
self.path = QtGui.QPainterPath()
|
||
self.path.moveTo(self['start'])
|
||
if self['end'] is not None:
|
||
self.path.lineTo(self['end'])
|
||
else:
|
||
self.path.lineTo(self['start']+500*self['dir'])
|
||
|
||
|
||
def trace(rays, optics):
|
||
if len(optics) < 1 or len(rays) < 1:
|
||
return
|
||
for r in rays:
|
||
r.clearChildren()
|
||
o = optics[0]
|
||
r2 = o.propagateRay(r)
|
||
trace(r2, optics[1:])
|
||
|
||
class Tracer(QtCore.QObject):
|
||
"""
|
||
Simple ray tracer.
|
||
|
||
Initialize with a list of rays and optics;
|
||
calling trace() will cause rays to be extended by propagating them through
|
||
each optic in sequence.
|
||
"""
|
||
def __init__(self, rays, optics):
|
||
QtCore.QObject.__init__(self)
|
||
self.optics = optics
|
||
self.rays = rays
|
||
for o in self.optics:
|
||
o.sigStateChanged.connect(self.trace)
|
||
self.trace()
|
||
|
||
def trace(self):
|
||
trace(self.rays, self.optics)
|
||
|