TK+1
=v
#1
:n
m
:v
1
:s
i
:c
order (unitless)
#2
:n
lambda
:v
.000777
:s
i
:u
mm
:d
nm
:c
wavelength (mm, �m, nm, �)
#3
:n
d
:v
.0004166666666666666667
:s
o
:u
mm
:d
mm
:c
grating constant (cm, mm, �m)
#4
:n
theta
:v
1.306557235866754896
:s
o
:u
radians
:d
degrees
:c
rotation angle of grating (radians, degrees)
#5
:n
Phi
:v
.2617993877991494365
:s
i
:u
radians
:d
degrees
:c
monochromator takeoff angle (radians, degrees)
#6
:n
alpha
:v
1.044757848067605459
:s
o
:u
radians
:d
degrees
:c
incidence angle (radians, degrees)
#7
:n
beta
:v
1.568356623665904332
:s
o
:u
radians
:d
degrees
:c
diffraction angle (radians, degrees)
#8
:n
lines
:v
2400
:s
i
:u
lines/mm
:d
lines/mm
:c
grating ruling density (lines/mm)
#9
:n
AngDisp
:v
983727.2217023843227
:s
o
:u
mm-1
:d
nm-1
:c
Angular dispersion (mm-1, nm-1)
#10
:n
LinDisp
:v
245931805.4255960807
:s
o
:u
mm/mm
:d
mm/�
:c
Linear Dispersion (mm/nm, mm/�)
#11
:n
RLD
:v
4.066167847909931376E-9
:s
o
:u
mm/mm
:d
nm/mm
:c
Reciprocal linear dispersion (nm/mm, �/mm)
#12
:n
f
:v
250
:s
i
:u
mm
:d
cm
:c
Focal length (mm, cm, m)
#13
:n
Sg
:v
1.016541961977482844E-10
:s
o
:u
mm
:d
nm
:c
Geometrical spectral bandpass (mm, �m, nm, �)
#14
:n
S
:v
8.621391038303011442E-9
:s
o
:u
mm
:d
nm
:c
Spectral bandpass (mm, �m, nm, �)
#15
:n
H
:v
5
:s
i
:u
mm
:d
cm
:c
Slit height (cm, mm, �m)
#16
:n
W
:v
.025
:s
i
:u
mm
:d
�m
:c
Slit width (cm, mm, �m)
#17
:n
Sd
:v
8.519736842105263158E-9
:s
o
:u
mm
:d
nm
:c
diffraction limited resolution (mm, �m, nm, �)
#18
:n
N
:v
91200
:s
o
:c
Total number of lines in grating (unitless)
#19
:n
Wg
:v
38
:s
i
:u
mm
:d
mm
:c
aperture (mm, cm, m)
#20
:n
R
:v
37381634.42469060426
:s
o
:c
Resolving power (unitless)
#21
:n
FSR
:v
.0003885
:s
o
:u
mm
:d
nm
:c
Free spectral range (mm, �m, nm, �)
#22
:n
omega
:v
.01160078074024342996
:s
o
:u
sr
:d
sr
:c
acceptance solid angle, steradians
#23
:n
Fnumber
:v
8.228133537777417104
:s
o
:c
F-number of monochromator
#24
:n
Ap
:v
725.0487962652143724
:s
o
:u
mm2
:d
cm2
:c
grating area viewed from entrance slit
#25
:n
As
:v
.00125
:s
o
:u
cm2
:d
cm2
:c
Slit area (cm2, mm2)
#26
:n
PhiO
:v
1.474085051769706507E-12
:s
o
:u
watts
:d
�watts
:c
Radiant power passed by monochromator
#27
:n
Blambda
:v
.002
:s
i
:u
W/sr/nm/cm2
:d
W/sr/nm/cm2
:c
Source spectral radiance (W/sr/nm/cm2)
#28
:n
Top
:v
.5
:s
i
:c
Transmission factor of monochromator
#29
:n

:s
b
#30
:n

:v
.9355429265760797395
:s
i
#31
:n

:s
b
#32
:n

:s
b
=u
#1
:f
radians
:m
57.29577951308232088
:t
degrees
#2
:f
mm
:m
1000000
:t
nm
#3
:f
mm
:m
1E7
:t
�
#4
:f
mm
:m
.0009999999999999999999
:t
m
#5
:f
mm
:m
1000
:t
�m
#6
:f
mm
:m
.1
:t
cm
#7
:f
mm/mm
:m
.0000009999999999999999999
:t
mm/nm
#8
:f
mm/mm
:m
.0000001
:t
mm/�
#9
:f
mm
:m
1000
:t
�m
#10
:f
mm/mm
:m
1000000
:t
nm/mm
#11
:f
mm/mm
:m
1E7
:t
�/mm
#12
:f
mm-1
:m
.0000009999999999999999999
:t
nm-1
#13
:f
mm2
:m
.01
:t
cm2
#14
:f
watts
:m
1000000
:t
�watts
#15
:f
watts
:m
1000
:t
mwatts
=l
=f
=r
#1
:r
"*** Grating Monochromator ***
:s
C
#2
:r
"Assumptions: equal entrance and exit slits, equal focal
:s
C
#3
:r
" lengths of collimator and focusing elements
:s
C
#4
:r
d=1/lines
#5
:r
AngDisp = m/(d*cos(beta))
#6
:r
LinDisp = f*AngDisp
#7
:r
RLD=1/LinDisp
#8
:r
Sg=W/LinDisp
#9
:r
S = Sg+Sd
#10
:r
Sd = lambda/(m*N)
#11
:r
N = Wg/d
#12
:r
R = m*N/cos(beta)
#13
:r
theta=beta-Phi
#14
:r
alpha=theta-Phi
#15
:r
m*lambda=2*d*cos(Phi)*sin(theta)
#16
:r
FSR=lambda/(m+1)
#17
:r
omega=Ap/f^2
#18
:r
Ap=Wg^2*cos(alpha)
#19
:r
As=0.01*W*H
#20
:r
PhiO=Blambda*As*omega*Top*Sg*1e6
#21
:r
Fnumber=f/sqrt(4*Ap/pi())
=p
=t
=n
=g
#1
:c
.0000009999999999999999999
:i
10
:v
Yes
:a
Yes
:r
Yes
:h
No
:t
1
%Tv,f,5,2,0,1,0
%Or,f,11,1,0,1,0