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IDRC-2016 The theory and practice of building instruments for DR measurements Jerome Workman Unity Scientific and National University IDRC-2016

IRDC Theory and practice of building instruments for diffuse reflectance measurements

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Page 1: IRDC Theory and practice of building instruments for diffuse reflectance measurements

IDRC-2016

The theory and practice of building

instruments for DR measurements

Jerome Workman

Unity Scientific and National University

IDRC-2016

Page 2: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Outline

• Light Interaction with Matter

• Sampling Accessories

• Illumination/Measurement Geometries

• The Integrating Sphere and Integrating Sphere Type Measurements

• Reflectance Theory: Review

• Instrument Parameters Affecting Spectra

• Problem Highlighted: Distance to Detector

Page 3: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light Interaction with Matter

Page 4: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light interaction with solid materials. Ray tracing indicates the possible outcomes for

individual photons from the incoming beam.

Specular Reflection

Diffuse Reflection

Absorption

Transmittance

Interaction

Scattering

Page 5: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Rayleigh Scattering

Color/Electronic Absorption

Am

plit

ud

e

Wavelength (nm)

Effective Pathlength

Absorptivity

200 1150 2500

Page 6: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light Interaction in Transmittance

Sample Attenuates the

Light

Sample Layer

I0 I

100% Initial Light

% Attenuated or Absorbed

Light

Page 7: IRDC Theory and practice of building instruments for diffuse reflectance measurements

I0 Sample Beam Sample Detector Optics

Detector

I

None

Cuvet

Large Lens

Small Lens

Beam Geometries of Various Transmission Measurements

Page 8: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light Interaction with Particles in Diffuse Transmittance

Sample Attenuates the

Light

Sample Layer

I0 I

Particles cause Scattering

Losses

Particles cause Scattering

Losses

100% Initial Light

% Attenuated or Absorbed

Light

Page 9: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light as Specular Reflection (Elastic Collision)

Reflective Surface

Specular Viewing Angle

I0 Elastic

Collision with no light

Interaction with Sample

Normal Angle (0°)

~I θ θ

Page 10: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Light as Diffuse Reflection (Inelastic Collision)

Diffuse Surface

Sample Layer

I0 Inelastic

Collision with light

Interaction with Sample

Normal Incidence Angle (o°)

I Θ = 45°

Page 11: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Angular Distribution of Reflected Light

Diffuse Surface Sample Layer

Lambertian Reflection

B S0 cos α

B cos ϑ

α

ϑ

From G. Kortum, Reflectance Spectroscopy

Page 12: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Illustration of Terms for Angular Distribution of Reflected Light

Sample Layer

Lambertian Reflection

α

ϑ dϑ

df

I0 I

From G. Kortum, Reflectance Spectroscopy

Page 13: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Angular Reflected Energy Distribution

Diffuse Surface Sample Layer

Lambertian Angular

Distribution

B S0 cos α

B cos ϑ

α

ϑ

Seeliger Angular

Distribution

From G. Kortum, Reflectance Spectroscopy

Page 14: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sampling Accessories

Page 15: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Locking powder cup – optical view

Top View

Powder Cup

I0 I

Side View

Reflective Back

Window

Fine ground sample

Sample

Page 16: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Transflectance

I0

Diffuse Reflective Back

Sample

Optical Window

I I0 I

Physical Pathlength

Optical Pathlength

Page 17: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Liquid transflectance cell

Liquid Transflectance Cell

Top View

I0

I

Side View

Physical Pathlength is physical distance where photon passes through, e.g. 0.3 mm nominal

Effective Pathlength is optical distance where photon passes

through: ~ 0.3 mm x 2.5 = 0.75 mm

Diffuse Reflective back

Optical Window

Liquid Sample

Page 18: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Locking powder cup – optical view

Top View

Powder Cup

I0 I

Side View

Page 19: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Liquid cuvet and powder cell types

Top View

Powder Cup

I0 I

Side View

Powder Cup (Top and Bottom Sections)

Page 20: IRDC Theory and practice of building instruments for diffuse reflectance measurements

External Reflectance Regimes

Specular surface

θ1 θ2

Θ1 = Θ2

Specular external reflectance

I0 I

θ1 θ2 Reflection/absorption or Transflectance

I

Θ1 ‡ Θ2

I0

Reflective Surface

Sample absorptive surface

Elastic photon collision

Inelastic photon collision

Page 21: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Illumination/Measurement Geometries

Page 22: IRDC Theory and practice of building instruments for diffuse reflectance measurements

0°/45° Measurement Geometry

Detector

I0 I

Θ = 45°

Horizontal Surface

Incident Energy at

Normal Angle

(0°)

Sample

Page 23: IRDC Theory and practice of building instruments for diffuse reflectance measurements

45°/0° Measurement Geometry

Detector

I0 I

Θ2 = 45°

Horizontal Surface

Incident Energy at

(45°)

Sample

Θ1 = 45°

Θ3 = 45° Measure at

(0°)

Page 24: IRDC Theory and practice of building instruments for diffuse reflectance measurements

d/8° Color Measurement Geometry

Detector

I0

I

Θ2 = 82°

Horizontal Surface

Normal Angle to Sample

(0°)

Sample

Θ1 = 8°

Page 25: IRDC Theory and practice of building instruments for diffuse reflectance measurements

22.5°/22.5° Specular/Color Measurement Geometry

Detector

I0 I

Θ2 = 45°

Horizontal Surface

Incident Energy at

(22.5°)

Sample

Θ1 = 22.5°

Measure at

(0°)

Θ3 = 22.5°

Page 26: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Basic Configurations for Variable Measurement Geometry

I0

I

Horizontal Surface Sample

DIFFUSE REFLECTION

I SPECULAR

TRANSMISSION I DIFFUSE

TRANSMISSION

Incident Energy at Normal Angle (0°)

I SPECULAR

REFLECTION

Θ = 5°

Θ = 5°

Θ = 45°

Θ = 135°

Page 27: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Diffuse Reflection Color Measurement Geometry

I0

I

Θ = 45°

Horizontal Surface Sample

DIFFUSE REFLECTION

Incident Energy at Normal Angle (0°)

Page 28: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Diffuse Transmission Color Measurement Geometry

I0

Horizontal Surface Sample

I DIFFUSE

TRANSMISSION

Incident Energy at Normal Angle (0°)

Θ = 135°

Page 29: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Specular Reflection Color Measurement Geometry

I0

Horizontal Surface Sample

Incident Energy at Normal Angle (0°)

I SPECULAR

REFLECTION

Θ = 5°

Page 30: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Specular Transmission Color Measurement Geometry

I0

Horizontal Surface Sample

I SPECULAR

TRANSMISSION

Incident Energy at Normal Angle (0°)

Θ = 5°

Page 31: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Transmitted, Remitted, and Absorbed Energy: Small Area Detection

I

I0

Sample

MEASURED TRANSMITTED

Incident Energy at Normal Angle (0°)

I MEASURED REMITTED

UNMEASURED ABSORBED

Unmeasured Remittance

Unmeasured Transmittance

Unmeasured Transmittance

Page 32: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Remitted, and Absorbed Energy: Hemispherical Detection

I0

Detector I

Light Shield Cylinder

Sample in Reflection

Port

Remitted Reflection

Energy

ABSORBED ENERGY IS NOT

MEASURED DIRECTLY

Page 33: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Transmitted and Absorbed Energy: Hemispherical Detection

I0

Detector I

Light Shield Cylinder

Sample in Transmission

Port

Transmitted Energy

ABSORBED ENERGY IS NOT

MEASURED DIRECTLY

Light Reflector in Sample Port

Page 34: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere: Late 1970s Type

I0

Sphere Detector Port

I

Light Shield Cylinder

Sphere Entrance Port

Two Position Mirror

(Sample and Reference)

Monochromatic Light

Sphere Sample Port

Page 35: IRDC Theory and practice of building instruments for diffuse reflectance measurements

0°/45° Measurement Geometry: Type I

Sample

Window

Detectors

Light Energy – Post-dispersive

Page 36: IRDC Theory and practice of building instruments for diffuse reflectance measurements

0°/45° Measurement Geometry: Type II

Sample Window

Detectors

Light Energy – Post-dispersive Front surface Diagonal mirror

Page 37: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Pre-Dispersive, Grating Single Monochromator Design

Exit Slit

Diffraction Grating

Normal Angle Entrance Slit

Sample

Collimating Optics

Collimating Optics

Shutter

Source

Detector 1

Detector 2

0°/ 45° Reflectance

Page 38: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Exit Slit

Diffraction Grating

Normal Angle Entrance Slit

Detector

Sample

Collimating Optics

Collimating Optics

Shutter

Source(s)

Analog Amplifier and A to D Converter

Controller Board

Computer Board

Power Supply

Electronics

//

//

Post-Dispersive, Grating Single Monochromator Design

45°/0° Illumination

Page 39: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Grating and DLP DMD with Single Element Detector Design Pre-Dispersive Optics

Fixed Diffraction Grating

Normal Angle

Detector

Collimating Optics

DLP DMD

Entrance Slit

Collimating Optics

Shutter

Source(s)

45°/0° Illumination

Digital light processing (DLP)—Digital micromirror device (DMD) spectrometer

Page 40: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Grating and Fixed Array Detector Design Pre-Dispersive Optics

Fixed Diffraction Grating

Normal Angle

Fixed Array Detector

Analog Amplifier and A to D Converter

Controller Board

Computer Board

Power Supply

Electronics

//

//

Entrance Slit

Collimating Optics

Shutter

Source(s)

45°/0° Illumination

Page 41: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Optical Schematic

Moving mirror

Scanning Michelson Interferometer

Light Source

IR-Source

Light Pipe

Integrating Chamber

J-Stop

Beam Splitter

Fixed mirror

Fixed Mirror

Detector Optics

Michelson Interferometer Design (FT-NIR) - Optics

Detectors

Sample

0°/ 45° Reflectance

Page 42: IRDC Theory and practice of building instruments for diffuse reflectance measurements

The Integrating Sphere

Page 43: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Beam Geometry for Diffuse Transmittance/Transmission Measurements

I0

Sample Beam

Detector I

Optical Sample

Light Shield Cylinder

Photometric Port or

Window

Inner Reflective Surface of Integrating

Sphere Diffuse

Transmission Energy

Page 44: IRDC Theory and practice of building instruments for diffuse reflectance measurements

I0

Detector I

Optical Sample

Light Shield Cylinder

Sample Port or Window

Inner Reflective Surface of Integrating

Sphere

Diffuse Reflection

Energy

Beam Geometry for Diffuse Reflectance/Reflection Measurements

Page 45: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Figure showing the distance from the exit port entrance plane to the detector window (δ).

Detector

Detector Port

Integrating Sphere Wall

δ

Page 46: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere Type

Measurements

Page 47: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Reflectance: 0%

I0

Detector I

Light Shield Cylinder

No Sample in Sample Port

Entrance Port

Page 48: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Reflectance: 0%

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I REFERENCE SAMPLE

PORT (100% REFLECTOR)

TEST PORT (NO SAMPLE

PRESENT)

Entrance Port

Page 49: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Reflectance: 100%

I0

Detector I

Light Shield Cylinder

100% Reflectance Material in Sample

Port

Entrance Port

Page 50: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Reflectance: 100%

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I REFERENCE SAMPLE

PORT (100% REFLECTOR)

TEST PORT (100% REFLECTOR)

Entrance Port

Page 51: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Reflectance: Test Sample

I0

Detector I

Light Shield Cylinder

Test Sample Material in Sample Port

Entrance Port

Page 52: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Reflectance: Test Sample

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I

REFERENCE SAMPLE PORT (STANDARD

REFERENCE MATERIAL)

TEST PORT (TEST SAMPLE

MATERIAL)

Entrance Port

Page 53: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Transmittance: 0%

I0

Detector I

Light Shield Cylinder

100% Reflector in Sample Port

Transmittance Port Blocked

Page 54: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Transmittance: 0%

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I REFERENCE SAMPLE

PORT (100% REFLECTOR)

Transmittance Port Blocked 100%

Reflector in Sample Port

Page 55: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Transmittance: 100%

I0

Detector I

Light Shield Cylinder

100% Reflectance Material in Sample

Port

Transmittance Port

Page 56: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Transmittance: 100%

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I REFERENCE SAMPLE

PORT (100% REFLECTOR)

TEST PORT (100% REFLECTOR)

Transmittance Port

Page 57: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Single Beam Transmittance: Test Sample

I0

Detector I

Light Shield Cylinder

100 % Reflector Material in Sample

Port

Transmittance Port with Test

Sample

Page 58: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Integrating Sphere – Double Beam Transmittance: Test Sample

I0

Detector

I

TEST SAMPLE BEAM I0

REFERENCE BEAM

I REFERENCE SAMPLE

PORT (100% REFLECTOR)

TEST PORT (100% REFLECTOR)

Transmittance Port with Test

Sample

Page 59: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Angular Reflected Energy Distribution

Diffuse Surface Sample Layer

Lambertian Angular

Distribution

B S0 cos α

B cos ϑ

α

ϑ

Seeliger Angular

Distribution

Sample Layer

Lambertian Reflection

α

ϑ dϑ

df

I0 I

From G. Kortum, Reflectance Spectroscopy

Page 60: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Instrument Parameters Affecting DR Spectra

Page 61: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1. Wavelength accuracy

2. Wavelength repeatability

3. Wavelength linearity

4. Wavelength reproducibility

5. Photometric accuracy

6. Photometric repeatability

7. Photometric reproducibility

8. Photometric linearity

9. Photometric noise

10.Photometric drift

11.Signal averaging integrity (systematic noise component)

12.Instrument line shape

13.Detector response

14.Source color temperature

15.Instrument temperature (thermistor)

16.Sample temperature (thermistor)

17. Technology difference artifacts (FT-DA-M-LVF-DLP-Other)

Readily Measurable Instrument Parameters Affecting Spectra

Page 62: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Detector Response using Dual Channel Ultra-cooled InGaAs

1E+09

1E+10

1E+11

1E+12

900 1100 1300 1500 1700 1900 2100 2300 2500 2700 2900

D*

in c

m H

z1/2

/W

Wavelength (nm)

D* Spectral Response

InGaAs (-30C)

InGaAs (-50C)

PbS (-10C)

PbS(-20C)

Specific Detectivity (D*)

Page 63: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Detector Response time Dual Channel Ultra-cooled InGaAs

0

200

400

600

800

1000

1200

-30C 27C

Detector response Times (μs)

InGaAs PbS

0.01 0.1

-30 °C 27 °C

Page 64: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Measurement issues affecting reflectance spectra

1. Reflectance and transmittance of window from sample cup 2. Sample thickness, packing density, particle size, refractive

index, crystalline form, surface characteristics 3. Sample scattering coefficient (s) 4. Sample absorption coefficient (k) 5. Measurement geometry 6. Number of detectors (response speed and linearity/dynamic

range) 7. Wavelength of light 8. Polarization effects: s- and p-polarization from beam 9. Beam size and beam angle with respect to sample 10. Sample distance from detector

Page 65: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1. Reflectance and transmittance of window from sample cup

2. Sample thickness and background material

3. Sample scattering coefficient (s) 4. Sample absorption coefficient (k) 5. Measurement geometry 6. Number of detectors (response

speed and linearity/dynamic range) 7. Wavelength of light 8. Polarization effects: s and p-

polarization from beam 9. Beam size, uniformity, and beam

angle with respect to sample 10. Sample distance from detector

1 2, 3, 4

5 5

Illustration

6 6

7, 8

9

10

0°/45° Measurement Geometry: Type II

Page 66: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample Thickness and Background Material

Side View

Powder Cup

I0 I

Reflective Back

Window

Sample

2

Page 67: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Change in Percent Reflectance for plane (Rs) and perpendicularly (Rp) polarized

light as a function of the angle of incidence.

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 50 100

Ref

lect

ion

Angle of Incidence (Degrees)

Rs

Rp

Φ1 Φ1

Φ2

8

Page 68: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Beam Shape

9

Page 69: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Beam Size vs. Sample Size

1.5 “

9

Page 70: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Main Variability Problem Highlighted:

Distance to Detector

Page 71: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Distance effect: major changes in slope and

offset for each detector in optical path

Page 72: IRDC Theory and practice of building instruments for diffuse reflectance measurements

0°/45° Measurement Geometry: Type II

Sample Window

Detectors

Light Energy – Post-dispersive Front surface Diagonal mirror

Page 73: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Issues Affecting Distance

Sample Layer

Lambertian Reflection

B

S0 cos α B cos ϑ

α

ϑ

Sample Holding Device

Sample Window

Angular Distribution of Reflected Light

Page 74: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample

0 = Ideal height for maximum reflectance signal amplitude Si

gnal

Am

plit

ud

e

-2 -1 0 +1 +2

Sample Distance from Highest Signal

Page 75: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample

+1 (0.0125” or 0.32 mm) Si

gnal

Am

plit

ud

e

-2 -1 0 +1 +2

Sample Distance from Highest Signal

Page 76: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample

+2 (0.0250” or 0.64 mm)

Sign

al A

mp

litu

de

-2 -1 0 +1 +2

Sample Distance from Highest Signal

Page 77: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample

-1 Si

gnal

Am

plit

ud

e

-2 -1 0 +1 +2

Sample Distance from Highest Signal

-1 (0.0125” or 0.32 mm)

Page 78: IRDC Theory and practice of building instruments for diffuse reflectance measurements

-2

Sample

Sign

al A

mp

litu

de

-2 -1 0 +1 +2

Sample Distance from Highest Signal

-2 (0.0250” or 0.64 mm)

Page 79: IRDC Theory and practice of building instruments for diffuse reflectance measurements

SN3 Platter

SN2 Platter

Sample in glass cell

Sample only

Instrument #1 With R99

Cup + window = 0.116”

+0.048”

+0.065”

(2.9 mm)

(0 mm)

(1.2 mm)

(1.65 mm)

Page 80: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Sample only

Instrument # 2 With R99

cell = 0.116”Sample in glass cell

(0 mm)

(1.65 mm)

Page 81: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

3

4

5

6

Ab

sorb

an

ce

Dark Standard (A~3.2)

Page 82: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Dark Standard (A~3.2) – Diff

1000 1500 2000 2500

Nanometers

-1

0

1

Ab

sorb

an

ce

Page 83: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

1.0

1.1

1.2

1.3

Ab

sorb

an

ce

R10 (A~1.0)

0.0 mm

0.32 mm

0.64 mm

Page 84: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R10 (A~1.0) - Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 85: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.35

0.40

0.45

0.50

0.55

Ab

sorb

an

ce

R50 (A~0.301)

0.0 mm

0.32 mm

0.64 mm

Page 86: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R50 (A~0.301) - Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 87: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

sorb

an

ce

R99 (A~0.0044)

0.0 mm

0.32 mm

0.64 mm

Page 88: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R99 (A~0.0044) – Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 89: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.1

0.2

0.3

0.4

0.5

Ab

sorb

an

ce

1920a (A~0.314)

0.0 mm

0.32 mm

0.64 mm

Page 90: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1920a (A~0.314) - Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 91: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.2

0.4

0.6

0.8

Ab

sorb

an

ce

Grd. Wheat

0.0 mm

0.32 mm

0.64 mm

Page 92: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Grd. Wheat – Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 93: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.2

0.4

0.6

0.8

Ab

sorb

an

ce

Flour

0.0 mm

0.32 mm

0.64 mm

Page 94: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Flour – Diff

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 95: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Ab

sorb

an

ce

Forage - Hay

0.0 mm

0.32 mm

0.64 mm

Page 96: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Forage – Hay – Diff.

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

Ab

sorb

an

ce

0.0 mm

0.32 mm

0.64 mm

Page 97: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.03

0.04

0.05

0.06

0.07

Ab

sorb

an

ce

Flour – Wheat – Forage – Diff (1= 0.32 mm)

Flour

Wheat

Forage

Page 98: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Flour – Wheat – Forage – Diff (2= 0.64 mm)

1000 1500 2000 2500

Nanometers

0.12

0.14

0.16

0.18

0.20

0.22

Ab

sorb

an

ce

Flour

Wheat

Forage

Page 99: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R10 – R50 – R99 – Diff (1=0.32 mm)

1000 1500 2000 2500

Nanometers

0.03

0.04

0.05

0.06

Ab

sorb

an

ce

Page 100: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R10 – R50 – R99 – Diff (2=0.64 mm)

1000 1500 2000 2500

Nanometers

0.12

0.14

0.16

0.18

0.20

0.22

Ab

sorb

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ce

Page 101: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Compare offset distance to Forage multiplied 1.1 and 1.5

1000 1500 2000 2500

Nanometers

0.2

0.4

0.6

0.8

Ab

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ce

Page 102: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Superimpose (Normalize) Mode: Compare Forage multiplied 1.1 and 1.5

1000 1500 2000 2500

Nanometers

Page 103: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

0.25

Ab

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Compare offset distance to Forage multiplied 1.1 and 1.5 - Diff

Page 104: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1 Der – 11 pt smooth : Compare Forage multiplied 1.1 and 1.5

1000 1500 2000 2500

Nanometers

-0.015

-0.010

-0.005

0.000

0.005

Abs

orba

nce

Page 105: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1200 1400 1600 1800 2000 2200 2400

Nanometers

0.000

0.002

0.004

0.006

Abs

orba

nce

1 Der – 11 pt smooth : Compare Forage multiplied 1.1 and 1.5

Close-up

Page 106: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1 Der – 11 pt smooth : Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

-0.010

-0.005

0.000

Abs

orba

nce

Page 107: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1 Der – 11 pt smooth : Compare Forage Height Differences

1200 1400 1600 1800 2000 2200 2400

Nanometers

-0.001

0.000

0.001

0.002

0.003

0.004

Abs

orba

nce

Close-up

Page 108: IRDC Theory and practice of building instruments for diffuse reflectance measurements

2 Der – 21 pt smooth: Compare Forage multiplied 1.1 and 1.5

Close-up

1200 1400 1600 1800 2000 2200 2400

Nanometers

-0.00010

-0.00005

-0.00000

0.00005

0.00010

Abs

orba

nce

Page 109: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1400 1600 1800 2000 2200 2400

Nanometers

-0.00010

-0.00005

-0.00000

0.00005

0.00010

Abs

orba

nce

1 Der – 11 pt smooth : Compare Forage multiplied 1.1 and 1.5

Close-up

Page 110: IRDC Theory and practice of building instruments for diffuse reflectance measurements

2 Der – 21 pt smooth: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

-0.0006

-0.0004

-0.0002

0.0000

0.0002

Abs

orba

nce

Page 111: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1200 1400 1600 1800 2000 2200 2400

Nanometers

-0.00010

-0.00005

-0.00000

0.00005

0.00010

Abs

orba

nce

2 Der – 21 pt smooth : Compare Forage Height Differences

Close-up

Page 112: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Normalize and set minimum to 0 offset: Height and Multiplicative

1000 1500 2000 2500

Nanometers

0.0

0.2

0.4

0.6

Ab

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ce

Set mean to zero and then offset min to zero

Page 113: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Normalize and set minimum to 0 offset: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

Ab

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ce

Page 114: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Set minimum to 0 offset: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

Ab

sorb

an

ce

Page 115: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Set minimum to 0 offset: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

Ab

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an

ce

Page 116: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

0.5

0.6

Ab

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an

ce

Set minimum to 0 offset: Compare Forage Height Differences

1st order poly min to zero

Page 117: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

0.5

0.6

Ab

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ce

Set minimum to 0 offset: Compare Forage Height Differences

2nd order poly (quadratic) min to zero

Page 118: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

Ab

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ce

Set minimum to 0 offset: Compare Forage Height Differences

3rd order poly (quintic) min to zero

Page 119: IRDC Theory and practice of building instruments for diffuse reflectance measurements

1000 1500 2000 2500

Nanometers

-0.8

-0.6

-0.4

-0.2

0.0

0.2

0.4

Ab

sorb

an

ce

Kramers-Kronig: Compare Forage Height Differences

Page 120: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Abs: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Ab

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Page 121: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Refl: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.2

0.3

0.4

0.5

0.6

0.7

0.8

Re

fle

cta

nc

e

0.0 mm

0.32 mm

0.64 mm

Page 122: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Kubelka-Munk: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.0

0.5

1.0

1.5

Ku

be

lka

-Mu

nk

0.0 mm

0.32 mm

0.64 mm

Page 123: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Dahm Eq.: Compare Forage Height Differences

0

0.5

1

1.5

2

2.5

3

3.5

4

700 900 1100 1300 1500 1700 1900 2100 2300 2500 2700

0.0 mm

0.32 mm

0.64 mm

Page 124: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Dahm Eq. w offset: Compare Forage Height Differences

0

0.5

1

1.5

2

2.5

3

700 900 1100 1300 1500 1700 1900 2100 2300 2500 2700

0.0 mm

0.32 mm

0.64 mm

Page 125: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Offset min set to zero: Compare Forage Height Differences

1000 1500 2000 2500

Nanometers

0.0

0.1

0.2

0.3

0.4

Ab

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Page 126: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Precise Detector Height Alignment Process

Page 127: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Wheat Sample: Five aligned instruments

1000 1500 2000 2500

Nanometers

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Ab

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Page 128: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Wheat Sample: Five aligned instruments - Diff

1000 1500 2000 2500

Nanometers

-0.01

0.00

0.01

Ab

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ce

Page 129: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Wheat Sample: Five aligned instruments Diff vs height Diff for 1 instrument

1000 1500 2000 2500

Nanometers

0.00

0.05

0.10

0.15

0.20

Ab

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ce

0.0 mm

0.32 mm

0.64 mm

Five Instruments

1 instrument

Page 130: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R99-Polystyrene: Five aligned instruments

1000 1500 2000 2500

Nanometers

0.5

1.0

1.5

2.0

2.5

Ab

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ce

Page 131: IRDC Theory and practice of building instruments for diffuse reflectance measurements

R99-Polystyrene: Five aligned instruments - Diff

800 1000 1200 1400 1600 1800 2000

Nanometers

-0.02

0.00

0.02

0.04

Ab

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Page 132: IRDC Theory and practice of building instruments for diffuse reflectance measurements

SRM1920a: Five aligned instruments

1100 1200 1300 1400

Nanometers

0.1

0.2

0.3

0.4

Ab

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Page 133: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Acknowledgments

• John Glaberson, Designs Work Group

• Barry Lavine, Oklahoma State University

• Art Springsteen, Avian Technologies

• Ken Galer, IELLC

• Chris Ubaldi, Unity Scientific

• Bob Schumann, Unity Scientific

• Some of you!

Page 134: IRDC Theory and practice of building instruments for diffuse reflectance measurements

Thank you!

[email protected]