P-A angle Difference vs. Current Intensity for P-A setup
10
8
6
Current (nA)
4
Measured Results Theoretical Predictions
2
0
0 10 20 30 40 50 60 70 80 90 100
-2
-4 P-A angle Difference (°)
1. Polarizer-Analyzer Angle Difference vs. Current Intensity for P-I-A(modulated) setup
2.5
2
1.5
Current (nA)
1
Measured Results Theoretical Predictions
0.5
0
-100 -80 -60 -40 -20 0 20 40 60 80 100
-0.5
-1 P-A Angle Difference (°)
2. Polarizer-Insert Angle Difference vs. Current Intensity for P-I(modulated)-A setup
2
1.5
1
Current (nA)
0.5
Measured Results Theoretical Predictions
0 -100 -80 -60 -40 -20 0 20 40 60 80 100
-0.5
-1 P-I Angle Difference (°)
Prism Reflection of Polarized Light Perpendicular to the Incidence Plane
2.5
2
1.5 Current (nA)
Measured Results Theoretical Predictions
1
0.5
0 0 10 20 30 40 50 60 70 80 90 100 Angle of Incidence (°)
Prism Reflection of Polarized Light Parallel to the Incidence Plane
2.5
2
1.5 Current (nA)
Measured Results Theoretical Predictions
1
0.5
0 0 10 20 30 40 50 60 70 80 90 100 Angle of Incidence (°)
Exercise 1 Polarizer Angle ± 3 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 Exercise 2 Polarizer Angle ± 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Analzyer Angle ± 3 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 0 Insert Angle 45 45 45 45 45 45 45 45 45 45 45 45 45 0 15 30 45 60 75 90 -15 -30 -45 -60 -75 -90
Angle Difference 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 0 Analzyer Angle ± 3 0 15 30 45 60 75 90 -15 -30 -45 -60 -75 -90 -90 -90 -90 -90 -90 -90 -90 -90 -90 -90 -90 -90 -90
Current (nA) ± 0.1nA 1.3 1.2 1.2 1.2 1.1 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.1 0 0 0 0 P-I Angle Difference -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 0 -15 -30 -45 -60 -75 -90 15 30 45 60 75 90
Exercise 3 POLARIZE ANGLE = 0 ±5 degrees, i.e. polarizing perpendicular to the incidence plane REFERANCE ANGLE: 232.5 ± 0.25 Prism Angle ± 0.25 Relative Angle Amped Intensity (nA) Reading Error 237.5 5 0.145 0.005 242.5 10 0.185 0.005 247.5 15 0.195 0.005 252.5 20 0.203 0.005 257.5 25 0.215 0.005 262.5 30 0.215 0.005 267.5 35 0.213 0.005 272.5 40 0.223 0.005 277.5 45 0.25 0.005 282.5 50 0.28 0.005 287.5 55 0.35 0.01 292.5 60 0.45 0.01 297.5 65 0.56 0.01 302.5 70 0.73 0.01 307.5 75 0.92 0.01 312.5 80 1.13 0.05 317.5 85 0.8 A LOT OF REFLECTION CUTOFF 322.5 90 0.65 A LOT OF REFLECTION CUTOFF NO PRISM CURRENT: 2.35 ±0.05
POLARIZE ANGLE = 90 ±5 degrees, i.e. polarizing parallel to the incidence plane REFERANCE ANGLE: 232.5 ± 0.25 Prism Angle ± 0.25 Relative Angle Amped Intensity (nA) nA 237.5 5 0.14 ±0.005 242.5 10 0.16 ±0.005 247.5 15 0.153 ±0.005 252.5 20 0.15 ±0.005 257.5 25 0.14 ±0.005 262.5 30 0.123 ±0.005 267.5 35 0.1 ±0.005 272.5 40 0.075 ±0.005 277.5 45 0.055 ±0.005 282.5 50 0.038 ±0.005 287.5 55 0.028 ±0.005 292.5 60 0.028 ±0.005 297.5 65 0.048 ±0.005 302.5 70 0.1 ±0.005 307.5 75 0.243 ±0.005 312.5 80 0.43 ±0.01 317.5 85 0.5 ±0.01 322.5 90 0.65 ±0.01 NO PRISM CURRENT 2.2 ±0.05
BACKGROUND NOISE: 0.018 ±0.005 nA
Amped Current ± 0.1nA Amplification Factor 8.6 6.615384615 8.4 7 8.2 6.833333333 7.8 6.5 7.4 6.727272727 6.8 6.8 6.2 6.888888889 5.5 6.875 4.9 7 4.3 7.166666667 3.5 7 2.8 7 2.2 7.333333333 1.7 8.5 1.2 12 0.8 8 0.5 0.4 0.4 AVG amplification 7.389992473 0 4.2±0.05nA <--referance P-A Angle Difference Amped Current ± 0.05nA 0 1.35 -15 1.8 -30 2.15 -45 2.3 -60 2.15 -75 1.8 -90 1.3 15 0.8 30 0.45 45 0.35 60 0.5 75 0.85 90 1.35 90 90 90 90 90 90 90 90 90 90 90 90 90 0.35 0.6 1.1 1.3 1.05 0.6 0.35 0.6 1.05 1.25 1.05 0.6 0.35
MALUS' LAW PREDICTIONS Malus' Predictions 8.6 8.534673338 8.340678269 8.023909236 7.593991105 7.063986722 6.45 5.770686616 5.046687164 4.3 3.553312836 2.829313384 2.15 1.536013278 1.006008895 0.576090764 0.259321731 0.065326662 0
Malus' Law Predictions 1.15 1.725 2.145929214 2.3 2.145929214 1.725 1.15 0.575 0.154070786 8.63069E-33 0.154070786 0.575 1.15 0 0.3125 0.9375 1.25 0.9375 0.3125 1.87624E-32 0.3125 0.9375 1.25 0.9375 0.3125 0
Refracted Theta (radians) Predictions (Rperpendicular) Rparallel + R perpendicular (JUST FOR FUN--MEANINGLESS V 0.057070073 0.103540755 0.205031894 CALCULATING THE ERROR TO THIS IS 0.113890147 0.106686595 0.205103032 0.170204799 0.112151205 0.205422314 0.22574772 0.120291537 0.206328338 0.280236189 0.13166014 0.20837791 0.33336554 0.147066747 0.212448703 0.384803754 0.167671418 0.219904952 0.434186496 0.195122199 0.232862299 0.481113117 0.231756076 0.254611769 0.525144439 0.280889267 0.290303131 0.5658035 0.347231268 0.348057734 0.602580722 0.437464671 0.440806127 0.634945166 0.561035347 0.589380754 0.662363243 0.731187281 0.827862072 0.684325355 0.966240972 1.213176821 0.70037923 1.291040231 1.843257562 0.710166304 1.738371167 2.893861624 0.713455326 2.35 4.7
Refracted Theta (radians) Predictions (Rparallel) 0.057070073 0.095012981 0.113890147 0.092134537 0.170204799 0.087317635 0.22574772 0.08054509 0.280236189 0.071820891 0.33336554 0.061208639 0.384803754 0.048899478 0.434186496 0.035331157 0.481113117 0.021396819 0.525144439 0.008812979 0.5658035 0.000773713 0.602580722 0.003128172 0.634945166 0.026536126 0.662363243 0.09050406 0.684325355 0.231173986 0.70037923 0.516969417 0.710166304 1.081735747 0.713455326 2.2 FORMULA USED: #VALUE!
Comments
BARELY VISIBLE TO HUMAN EYE BARELY VISIBLE TO HUMAN EYE BARELY VISIBLE TO HUMAN EYE
A LOT OF REFLECTION CUTOFF A LOT OF REFLECTION CUTOFF
AW PREDICTIONS Malus' Error 0.011628 0.017313 0.028346 0.040968 0.054613 0.069346 0.085439 0.103312 0.123567 0.147068 0.175107 0.2097 0.254198 0.314616 0.402969 0.547271 0.831535 1.675774 1.7
Malus' Error 0.148211 0.087391 0.044897 0.021739 0.044897 0.087391 0.148211 0.254861 0.547579 0.55 0.547579 0.254861 0.148211 0.55 0.548647 0.267854 0.207576 0.267854 0.548647 0.55 0.548647 0.267854 0.207576 0.267854 0.548647 0.55
ST FOR FUN--MEANINGLESS VALUES) ATING THE ERROR TO THIS IS RIDICULOUS