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Commit 2916e1f8 authored by Loïc Le Guyader's avatar Loïc Le Guyader
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Sample with other than normal incidence angle

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README.md
+ 3
− 1
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...@@ -10,4 +10,6 @@ The so far implemented features are: ...@@ -10,4 +10,6 @@ The so far implemented features are:
* calculates beam sizes and position for 2 energies * calculates beam sizes and position for 2 energies
* calculates sample position (membrane size and pitch) as well as etched facets * calculates sample position (membrane size and pitch) as well as etched facets
* calculates position of the DSSC module 15 as well as filter bar position * calculates position of the DSSC module 15 as well as filter bar position
* calculates focal length change due to the KBS * calculates focal length change due to the KBS
\ No newline at end of file * calculates beam focusing by KBS for the zone plate 0th order
* calculates beam and sample shape for sample at non-normal incidence angle
TZPGcalc.py
+ 190
− 83
View file @ 2916e1f8
...@@ -9,7 +9,7 @@ ...@@ -9,7 +9,7 @@
import numpy as np import numpy as np
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
from matplotlib.patches import Rectangle from matplotlib.patches import Rectangle, Polygon
from matplotlib.colors import hsv_to_rgb from matplotlib.colors import hsv_to_rgb
import ipywidgets as widgets import ipywidgets as widgets
...@@ -26,6 +26,7 @@ Z0 = 230*1e-3 # [m] ...@@ -26,6 +26,7 @@ Z0 = 230*1e-3 # [m]
d = 3.3 - Z0 # distance between HFM and TZPG d = 3.3 - Z0 # distance between HFM and TZPG
f1 = 7.3 # HFM focus 2 m behind second interaction point f1 = 7.3 # HFM focus 2 m behind second interaction point
F = F*(d-f1)/(d-f1-F) F = F*(d-f1)/(d-f1-F)
KBS_F = f1 - d # KBS focus distance from TZPG
# number of membrane to show # number of membrane to show
SampleN = 7 SampleN = 7
...@@ -63,50 +64,86 @@ class TZPGcalc(): ...@@ -63,50 +64,86 @@ class TZPGcalc():
c_gr = hsv_to_rgb([95/360, 60/100, 100/100]) c_gr = hsv_to_rgb([95/360, 60/100, 100/100])
c_gb = hsv_to_rgb([145/360, 60/100, 100/100]) c_gb = hsv_to_rgb([145/360, 60/100, 100/100])
self.samBeamsL = {'F0G0': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), self.samBeamsL = {
'F0G1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F0G0': self.ax_sam.add_patch(
'F0G-1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G0': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_rr, alpha=0.7, lw=None)), 'F0G1': self.ax_sam.add_patch(
'F1G1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gr, alpha=0.7, lw=None)), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G-1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gr, alpha=0.7, lw=None)) 'F0G-1': self.ax_sam.add_patch(
} Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G0': self.ax_sam.add_patch(
self.detBeamsL = {'F0G0': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), Polygon([(0, 0)], facecolor=c_rr, alpha=0.7, lw=None)),
'F0G1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F1G1': self.ax_sam.add_patch(
'F0G-1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), Polygon([(0, 0)], facecolor=c_gr, alpha=0.7, lw=None)),
'F1G0': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_rr, alpha=0.7, lw=None)), 'F1G-1': self.ax_sam.add_patch(
'F1G1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gr, alpha=0.7, lw=None)), Polygon([(0, 0)], facecolor=c_gr, alpha=0.7, lw=None))
'F1G-1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gr, alpha=0.7, lw=None)) }
}
self.detBeamsL = {
self.samBeamsH = {'F0G0': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F0G0': self.ax_det.add_patch(
'F0G1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F0G-1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F0G1': self.ax_det.add_patch(
'F1G0': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_rb, alpha=0.7, lw=None)), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gb, alpha=0.7, lw=None)), 'F0G-1': self.ax_det.add_patch(
'F1G-1': self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gb, alpha=0.7, lw=None)) Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
} 'F1G0': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor=c_rr, alpha=0.7, lw=None)),
self.detBeamsH = {'F0G0': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F1G1': self.ax_det.add_patch(
'F0G1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), Polygon([(0, 0)], facecolor=c_gr, alpha=0.7, lw=None)),
'F0G-1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="black", alpha=0.4, lw=None)), 'F1G-1': self.ax_det.add_patch(
'F1G0': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_rb, alpha=0.7, lw=None)), Polygon([(0, 0)], facecolor=c_gr, alpha=0.7, lw=None))
'F1G1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gb, alpha=0.7, lw=None)), }
'F1G-1': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor=c_gb, alpha=0.7, lw=None))
} self.samBeamsH = {
'F0G0': self.ax_sam.add_patch(
self.detLines = {'module': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, fill=False, facecolor='k')), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'Vfilter': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="blue", alpha=0.4)), 'F0G1': self.ax_sam.add_patch(
'Hfilter': self.ax_det.add_patch(Rectangle((0, 0), 1, 1, facecolor="blue", alpha=0.4)), Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'diamond': self.ax_det.add_patch(Rectangle((-8, -8), 16, 16, facecolor="blue", alpha=0.4, angle=45)) 'F0G-1': self.ax_sam.add_patch(
Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G0': self.ax_sam.add_patch(
Polygon([(0, 0)], facecolor=c_rb, alpha=0.7, lw=None)),
'F1G1': self.ax_sam.add_patch(
Polygon([(0, 0)], facecolor=c_gb, alpha=0.7, lw=None)),
'F1G-1': self.ax_sam.add_patch(
Polygon([(0, 0)], facecolor=c_gb, alpha=0.7, lw=None))
}
self.detBeamsH = {
'F0G0': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F0G1': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F0G-1': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor="black", alpha=0.4, lw=None)),
'F1G0': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor=c_rb, alpha=0.7, lw=None)),
'F1G1': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor=c_gb, alpha=0.7, lw=None)),
'F1G-1': self.ax_det.add_patch(
Polygon([(0, 0)], facecolor=c_gb, alpha=0.7, lw=None))
}
self.detLines = {
'module': self.ax_det.add_patch(
Rectangle((0, 0), 1, 1, fill=False, facecolor='k')),
'Vfilter': self.ax_det.add_patch(
Rectangle((0, 0), 1, 1, facecolor="blue", alpha=0.4)),
'Hfilter': self.ax_det.add_patch(
Rectangle((0, 0), 1, 1, facecolor="blue", alpha=0.4)),
'diamond': self.ax_det.add_patch(
Rectangle((-8, -8), 16, 16, facecolor="blue", alpha=0.4, angle=45))
} }
# 5x5 membranes # 5x5 membranes
self.sampleLines = {} self.sampleLines = {}
self.etchLines = {} self.etchLines = {}
for k in range(SampleN*SampleN): for k in range(SampleN*SampleN):
self.sampleLines[k] = self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, fill=False, facecolor='k')) self.sampleLines[k] = self.ax_sam.add_patch(
self.etchLines[k] = self.ax_sam.add_patch(Rectangle((0, 0), 1, 1, fill=False, facecolor='k', alpha=0.4, ls='--')) Rectangle((0, 0), 1, 1, fill=False, facecolor='k'))
self.etchLines[k] = self.ax_sam.add_patch(
Rectangle((0, 0), 1, 1, fill=False, facecolor='k', alpha=0.4, ls='--'))
def RectUpdate(self, rect, xLeft, yBottom, xRight, yTop): def RectUpdate(self, rect, xLeft, yBottom, xRight, yTop):
""" Updates the position and size of the given Rectangle. """ Updates the position and size of the given Rectangle.
...@@ -126,13 +163,54 @@ class TZPGcalc(): ...@@ -126,13 +163,54 @@ class TZPGcalc():
rect.set_height(self.scale*yw) rect.set_height(self.scale*yw)
rect.set_width(self.scale*xw) rect.set_width(self.scale*xw)
def UpdateBeams(self, Beams, Z, conf): def PolyUpdate(self, poly, xLeft, yBottom, xRight, yTop):
""" Updates the corner position of a Polygon.
poly: regular Polygon to update
xLeft: x position of the left corner
yBottom: y position of the bottom corner
xRight: x position of the right corner
yTop: y position of the top corner
"""
xy = self.scale*np.array([
[xLeft, yBottom],
[xLeft, yTop],
[xRight, yTop],
[xRight, yBottom]])
poly.set_xy(xy)
def LinePlaneIntersection(self, l1, l2, p0, n):
""" Calculate the intersection point in space between a line (beam)
passing through 2 points l1 and l2 and a (sample) plane passing by
p0 with normal n
l1: [x,y,z] point on line
l2: [x,y,z] point on line
p0: [x,y,z] point on plane
n: plane normal vector
"""
# plane parametrized as (p - p0).n = 0
# line parametrized as p = l1 + l12*d with d Real
l12 = l2 - l1
if np.dot(l12,n) == 0:
return [0,0,0] # line is either in the plane or outside the plane
else:
d = np.dot((p0 - l1), n)/np.dot(l12,n)
return l1 + l12*d
def UpdateBeams(self, Beams, Z, incidence, conf):
""" Update the position and size of the beams. """ Update the position and size of the beams.
Beams: dictionary of f'F{f}G{g}' Rectangles for f = 0 and 1 zone plate order and Beams: dictionary of f'F{f}G{g}' Polygon for f = 0 and 1 zone
g = +1, 0 and -1 grating order plate order and g = +1, 0 and -1 grating order
Z: distance Z between the zone plate and the current imaging plane Z: distance Z between the zone plate and the current imaging plane
conf: dictionnary of distance for calculation {'F', 'TZPGwH', 'TZPGwV', 'TZPGo', 'theta_grating'} incidence: incidence angle of the imaging plane in rad
conf: dictionnary of distance for calculation {'F', 'TZPGwH',
'TZPGwV', 'TZPGo', 'theta_grating'}
""" """
F = conf['F'] F = conf['F']
wH = conf['TZPGwH'] wH = conf['TZPGwH']
...@@ -140,36 +218,34 @@ class TZPGcalc(): ...@@ -140,36 +218,34 @@ class TZPGcalc():
o = conf['TZPGo'] o = conf['TZPGo']
offaxis = wV/2 + o offaxis = wV/2 + o
# side view X # imaging plane
Fx = F*np.arctan(conf['theta_grating']) n = np.array([np.sin(incidence), 0, np.cos(incidence)])
p0 = np.array([0,0,Z])
Xdg0 = np.abs(Z - F)/F*wH/2
Xdg1L = Z/F*(Fx - wH/2) + wH/2 # zone plate 4 corner points
Xdg1 = Z*np.tan(conf['theta_grating']) l1_list = [
Xdg1H = Z/F*(Fx + wH/2) - wH/2 np.array([wH/2,wV/2,0]),
np.array([wH/2,-wV/2,0]),
# top view Y np.array([-wH/2,-wV/2,0]),
YdfL = (o*(Z - F)/F + offaxis) np.array([-wH/2,wV/2,0])
Ydf = ((o + wV/2)*(Z - F)/F + offaxis) ]
YdfH = ((o + wV)*(Z - F)/F + offaxis)
# 6 beam focus point
if Z < F: # before zone plate focus, low and high beam edges are swapped l2_list = {
Xdg1L, Xdg1H = (Xdg1H, Xdg1L) 'F0G0': np.array([0,0,KBS_F]),
YdfL, YdfH = (YdfH, YdfL) 'F0G1': np.array([KBS_F*np.arctan(conf['theta_grating']),0,KBS_F]),
'F0G-1': np.array([-KBS_F*np.arctan(conf['theta_grating']),0,KBS_F]),
self.RectUpdate(Beams['F0G0'], 'F1G0': np.array([0,offaxis,F]),
-wH/2, -wV/2, wH/2, wV/2) 'F1G1': np.array([F*np.arctan(conf['theta_grating']),offaxis,F]),
self.RectUpdate(Beams['F0G1'], 'F1G-1': np.array([-F*np.arctan(conf['theta_grating']),offaxis,F])
Xdg1-wH/2, -wV/2, Xdg1+wH/2, wV/2) }
self.RectUpdate(Beams['F0G-1'],
-Xdg1-wH/2, -wV/2, -Xdg1+wH/2, wV/2) for beam in l2_list.keys():
l2 = l2_list[beam]
self.RectUpdate(Beams['F1G0'], corners = []
-Xdg0, YdfL, Xdg0, YdfH) for l1 in l1_list:
self.RectUpdate(Beams['F1G1'], corners.append(self.LinePlaneIntersection(l1, l2, p0, n)[:2])
Xdg1L, YdfL, Xdg1H, YdfH) Beams[beam].set_xy(self.scale*np.array(corners))
self.RectUpdate(Beams['F1G-1'],
-Xdg1H, YdfL, -Xdg1L, YdfH)
def DetectorUpdate(self, Xoff, Yoff): def DetectorUpdate(self, Xoff, Yoff):
""" Draw DSSC detector module with filter mask. """ Draw DSSC detector module with filter mask.
...@@ -199,7 +275,8 @@ class TZPGcalc(): ...@@ -199,7 +275,8 @@ class TZPGcalc():
# moving rotated rectangles is a pain in matplotlib # moving rotated rectangles is a pain in matplotlib
self.detLines['diamond'].set_xy((self.scale*Xoff, self.scale*(Yoff - diamondW/2*np.sqrt(2)))) self.detLines['diamond'].set_xy((self.scale*Xoff, self.scale*(Yoff - diamondW/2*np.sqrt(2))))
def SampleUpdate(self, w, p, Xoff, Yoff, thickness=0.525): def SampleUpdate(self, w, p, Xoff, Yoff, thickness=0.525,
incidence=0, etch_angle=54.74):
""" Draw the sample. """ Draw the sample.
w: membrane width w: membrane width
...@@ -207,15 +284,26 @@ class TZPGcalc(): ...@@ -207,15 +284,26 @@ class TZPGcalc():
Xoff: sample x offset Xoff: sample x offset
Yoff: sample y offset Yoff: sample y offset
thickness: sample thickness used to calculate the etched facets thickness: sample thickness used to calculate the etched facets
incidence: incidence angle in rad
etch_angle: etching angle from surface in rad
""" """
# Si etching angle # Si etching angle
wp = w +2*thickness/np.tan(np.deg2rad(54.74)) wp = w +2*thickness/np.tan(etch_angle)
# incidence angle squeezes sample and etch lines
# and induces an apparent shift off the etch lines
ci = np.cos(incidence)
thsi = thickness*np.sin(incidence)
j = 0 j = 0
for k in range(-(SampleN-1)//2, (SampleN-1)//2+1): for k in range(-(SampleN-1)//2, (SampleN-1)//2+1):
for l in range(-(SampleN-1)//2, (SampleN-1)//2+1): for l in range(-(SampleN-1)//2, (SampleN-1)//2+1):
self.RectUpdate(self.sampleLines[j], k*p - w/2 + Xoff, l*p - w/2 - Yoff, k*p + w/2 + Xoff, l*p + w/2 - Yoff) self.RectUpdate(self.sampleLines[j],
self.RectUpdate(self.etchLines[j], k*p - wp/2 + Xoff, l*p - wp/2 - Yoff, k*p + wp/2 + Xoff, l*p + wp/2 - Yoff) ci*(k*p - w/2 + Xoff), l*p - w/2 - Yoff,
ci*(k*p + w/2 + Xoff), l*p + w/2 - Yoff)
self.RectUpdate(self.etchLines[j],
ci*(k*p - wp/2 + Xoff)+thsi, l*p - wp/2 - Yoff,
ci*(k*p + wp/2 + Xoff)+thsi, l*p + wp/2 - Yoff)
j+=1 j+=1
def UpdateFig(self): def UpdateFig(self):
...@@ -232,6 +320,7 @@ class TZPGcalc(): ...@@ -232,6 +320,7 @@ class TZPGcalc():
theta_grating = self.grating_slider.value*1e-3 # [rad] theta_grating = self.grating_slider.value*1e-3 # [rad]
sampleZ = self.samz_slider.value*1e-3 # [m] sampleZ = self.samz_slider.value*1e-3 # [m]
samIncidence = np.deg2rad(self.samIncidence_slider.value) # [rad]
detectorZ = self.det_slider.value*1e-3 # [m] detectorZ = self.det_slider.value*1e-3 # [m]
TZPGwH = self.TZPGwH_slider.value*1e-3 #[m] TZPGwH = self.TZPGwH_slider.value*1e-3 #[m]
TZPGwV = self.TZPGwV_slider.value*1e-3 #[m] TZPGwV = self.TZPGwV_slider.value*1e-3 #[m]
...@@ -253,10 +342,10 @@ class TZPGcalc(): ...@@ -253,10 +342,10 @@ class TZPGcalc():
'TZPGwH':TZPGwH, 'TZPGwV':TZPGwV, 'TZPGo':TZPGo} 'TZPGwH':TZPGwH, 'TZPGwV':TZPGwV, 'TZPGo':TZPGo}
# update the beams # update the beams
self.UpdateBeams(self.samBeamsL, Z0 + sampleZ, confL) self.UpdateBeams(self.samBeamsL, Z0 + sampleZ, samIncidence, confL)
self.UpdateBeams(self.detBeamsL, Z0 + detectorZ, confL) self.UpdateBeams(self.detBeamsL, Z0 + detectorZ, 0, confL)
self.UpdateBeams(self.samBeamsH, Z0 + sampleZ, confH) self.UpdateBeams(self.samBeamsH, Z0 + sampleZ, samIncidence, confH)
self.UpdateBeams(self.detBeamsH, Z0 + detectorZ, confH) self.UpdateBeams(self.detBeamsH, Z0 + detectorZ, 0, confH)
# update the detector # update the detector
detXoff = self.detX_slider.value*1e-3 #[m] detXoff = self.detX_slider.value*1e-3 #[m]
...@@ -269,7 +358,9 @@ class TZPGcalc(): ...@@ -269,7 +358,9 @@ class TZPGcalc():
samXoff = self.samX_slider.value*1e-3 #[m] samXoff = self.samX_slider.value*1e-3 #[m]
samYoff = self.samY_slider.value*1e-3 #[m] samYoff = self.samY_slider.value*1e-3 #[m]
samthickness = self.samthickness_slider.value*1e-6 #[m] samthickness = self.samthickness_slider.value*1e-6 #[m]
self.SampleUpdate(samw, samp, samXoff, samYoff, samthickness) samEtchAngle = np.deg2rad(self.samEtchAngle_slider.value) #[rad]
self.SampleUpdate(samw, samp, samXoff, samYoff, samthickness,
samIncidence, samEtchAngle)
def initWidgets(self): def initWidgets(self):
""" Creates the necessary interactive widget controls. """ Creates the necessary interactive widget controls.
...@@ -379,12 +470,28 @@ class TZPGcalc(): ...@@ -379,12 +470,28 @@ class TZPGcalc():
step=1, step=1,
readout_format='.0f', readout_format='.0f',
) )
self.samIncidence_slider = widgets.FloatSlider(
value=0,
min=0,
max=90,
step=1,
readout_format='.0f',
)
self.samEtchAngle_slider = widgets.FloatSlider(
value=54.74,
min=0,
max=90,
step=0.01,
readout_format='.2f',
)
samTab = VBox(children=[HBox([widgets.Label(value='Sample Z (mm):'), self.samz_slider]), samTab = VBox(children=[HBox([widgets.Label(value='Sample Z (mm):'), self.samz_slider]),
HBox(children=[HBox([widgets.Label(value='Membrane width (mm):'), self.samw_slider]), HBox(children=[HBox([widgets.Label(value='Membrane width (mm):'), self.samw_slider]),
HBox([widgets.Label(value='Membrane pitch (mm):'), self.samp_slider])]), HBox([widgets.Label(value='Membrane pitch (mm):'), self.samp_slider])]),
HBox(children=[HBox([widgets.Label(value='Sample X-Offset (mm):'), self.samX_slider]), HBox(children=[HBox([widgets.Label(value='Sample X-Offset (mm):'), self.samX_slider]),
HBox([widgets.Label(value='Sample Y-Offset (mm):'), self.samY_slider])]), HBox([widgets.Label(value='Sample Y-Offset (mm):'), self.samY_slider])]),
HBox([widgets.Label(value='Substrate thickness (um):'), self.samthickness_slider]) HBox([widgets.Label(value='Substrate thickness (um):'), self.samthickness_slider]),
HBox([HBox([widgets.Label(value='Normal incidence (deg):'), self.samIncidence_slider]),
HBox([widgets.Label(value='Etch angle from surface (deg):'), self.samEtchAngle_slider])])
]) ])
#detector tab #detector tab
......
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