Preface |
|
xiii | |
|
1 Introduction to Spectroscopy |
|
|
1 | (19) |
|
|
1 | (5) |
|
1.2 Definition of Transmittance and Reflectance |
|
|
6 | (4) |
|
1.3 The Spectroscopic Experiment and the Spectrometer |
|
|
10 | (3) |
|
1.4 Propagation of Light through a Medium |
|
|
13 | (2) |
|
1.5 Transmittance and Absorbance |
|
|
15 | (1) |
|
1.6 S/N in a Spectroscopic Measurement |
|
|
16 | (4) |
|
2 Harmonic Oscillator Model for Optical Constants |
|
|
20 | (11) |
|
2.1 Harmonic Oscillator Model for Polarizability |
|
|
20 | (5) |
|
2.2 Clausius-Mossotti Equation |
|
|
25 | (1) |
|
|
26 | (3) |
|
2.4 Absorption Index and Concentration |
|
|
29 | (2) |
|
3 Propagation of Electromagnetic Energy |
|
|
31 | (8) |
|
3.1 Poynting Vector and Flow of Electromagnetic Energy |
|
|
31 | (3) |
|
3.2 Linear Momentum of Light |
|
|
34 | (1) |
|
3.3 Light Absorption in Absorbing Media |
|
|
35 | (1) |
|
3.4 Lambert Law and Molecular Cross Section |
|
|
36 | (3) |
|
|
39 | (16) |
|
4.1 Electromagnetic Fields at the Interface |
|
|
39 | (2) |
|
|
41 | (1) |
|
4.3 Boundary Conditions at the Interface |
|
|
42 | (1) |
|
|
43 | (1) |
|
4.5 Reflectance and Transmitance of Interface |
|
|
44 | (2) |
|
|
46 | (1) |
|
|
47 | (1) |
|
|
47 | (1) |
|
4.9 The Case of the 45 Angle of Incidence |
|
|
48 | (1) |
|
4.10 Total Internal Reflection |
|
|
49 | (6) |
|
|
55 | (6) |
|
5.1 Exponential Decay and Penetration Depth |
|
|
55 | (3) |
|
5.2 Energy Flow at a Totally Internally Reflecting Interface |
|
|
58 | (1) |
|
5.3 The Evanescent Wave in Absorbing Materials |
|
|
59 | (2) |
|
6 Electric Fields at a Totally Internally Reflecting Interface |
|
|
61 | (6) |
|
6.1 Ex, Ey, and Ez for s-Polarized Incident Light |
|
|
61 | (1) |
|
6.2 Ex, Ey, and Ez for p-Polarized Incident Light |
|
|
62 | (5) |
|
7 Anatomy of ATR Absorption |
|
|
67 | (12) |
|
7.1 Attenuated Total Reflection (ATR) Reflectance for s- and p-Polarized Beam |
|
|
67 | (2) |
|
7.2 Absorbance Transform of ATR Spectra |
|
|
69 | (1) |
|
7.3 Weak Absorption Approximation |
|
|
70 | (3) |
|
7.4 Supercritical Reflectance and Absorption of Evanescent Wave |
|
|
73 | (3) |
|
7.5 The Leaky Interface Model |
|
|
76 | (3) |
|
|
79 | (6) |
|
8.1 Definition and Expressions for Effective Thickness |
|
|
79 | (1) |
|
8.2 Effective Thickness and Penetration Depth |
|
|
80 | (2) |
|
8.3 Effective Thickness and ATR Spectroscopy |
|
|
82 | (2) |
|
8.4 Effective Thickness for Strong Absorptions |
|
|
84 | (1) |
|
9 Internal Reflectance near Critical Angle |
|
|
85 | (7) |
|
9.1 Transition from Subcritical to Supercritical Reflection |
|
|
85 | (2) |
|
9.2 Effective Thickness and Refractive Index of Sample |
|
|
87 | (1) |
|
9.3 Critical Angle and Refractive Index of Sample |
|
|
88 | (4) |
|
|
92 | (5) |
|
10.1 Energy Absorption at Different Depths |
|
|
92 | (1) |
|
10.2 Thin Absorbing Layer on a Nonabsorbing Substrate |
|
|
93 | (1) |
|
10.3 Thin Nonabsorbing Film on an Absorbing Substrate |
|
|
94 | (1) |
|
10.4 Thin Nonabsorbing Film on a Thin Absorbing Film on a Nonabsorbing Substrate |
|
|
94 | (3) |
|
|
97 | (24) |
|
11.1 Reflectance and Transmittance of a Two-Interface System |
|
|
97 | (3) |
|
|
100 | (1) |
|
11.3 Interference Fringes |
|
|
101 | (1) |
|
|
102 | (2) |
|
11.5 Interference Fringes and Transmission Spectroscopy |
|
|
104 | (4) |
|
|
108 | (1) |
|
11.7 Internal Reflection: Subcritical, Supercritical, and in between |
|
|
109 | (1) |
|
|
110 | (3) |
|
11.9 Penetration Depth Revisited |
|
|
113 | (3) |
|
11.10 Reflectance and Transmittance of a Multiple Interface System |
|
|
116 | (5) |
|
|
121 | (15) |
|
12.1 Electromagnetic Fields in Metals |
|
|
121 | (5) |
|
|
126 | (1) |
|
12.3 Reflectance of Metal Surfaces |
|
|
127 | (3) |
|
12.4 Thin Metal Films on Transparent Substrates |
|
|
130 | (2) |
|
12.5 Curious Reflectance of Extremely Thin Metal Films |
|
|
132 | (2) |
|
12.6 ATR Spectroscopy through Thin Metal Films |
|
|
134 | (2) |
|
13 Grazing Angle ATR (GAATR) Spectroscopy |
|
|
136 | (11) |
|
13.1 Attenuated Total Reflection (ATR) Spectroscopy of Thin Films on Silicon Substrates |
|
|
136 | (1) |
|
13.2 Enhancement for s- and p-Polarized Light |
|
|
137 | (2) |
|
13.3 Enhancement and Film Thickness |
|
|
139 | (2) |
|
13.4 Electric Fields in a Very Thin Film on a Si Substrate |
|
|
141 | (2) |
|
13.5 Source of Enhancement |
|
|
143 | (2) |
|
|
145 | (2) |
|
14 Super Grazing Angle Reflection Spectroscopy (SuGARS) |
|
|
147 | (4) |
|
14.1 Reflectance of Thin Films on Metal Substrates |
|
|
147 | (1) |
|
14.2 Problem of Reference |
|
|
148 | (2) |
|
14.3 Sensitivity Enhancement |
|
|
150 | (1) |
|
|
151 | (17) |
|
15.1 Multiple Reflection Attenuated Total Reflection (ATR) |
|
|
151 | (4) |
|
|
155 | (1) |
|
15.3 Beam Spread and the Angle of Incidence |
|
|
156 | (2) |
|
15.4 Effect of Facet Shape |
|
|
158 | (2) |
|
15.5 Beam Spread and the Number of Reflections in Multiple Reflection ATR |
|
|
160 | (2) |
|
15.6 Effect of Beam Alignment on Multiple Reflection ATR |
|
|
162 | (4) |
|
15.7 Change in the Refractive Index of the Sample due to Concentration Change |
|
|
166 | (2) |
|
16 ATR Spectroscopy of Small Samples |
|
|
168 | (4) |
|
16.1 Benefits of Attenuated Total Reflection (ATR) for Microsampling |
|
|
168 | (2) |
|
16.2 Contact Problem for Solid Samples |
|
|
170 | (2) |
|
|
172 | (8) |
|
17.1 Excitation of Surface Plasma Waves |
|
|
172 | (1) |
|
17.2 Effect of Metal Film Thickness on Reflectance |
|
|
173 | (1) |
|
17.3 Effect of the Refractive Index of Metal on Reflectance |
|
|
174 | (1) |
|
17.4 Effect of the Absorption Index of Metal on Reflectance |
|
|
174 | (1) |
|
17.5 Use of Plasmons for Detecting Minute Changes of the Refractive Index of Materials |
|
|
175 | (3) |
|
17.6 Use of Plasmons for Detecting Minute Changes of the Absorption Index of Materials |
|
|
178 | (2) |
|
18 Extraction of Optical Constants of Materials from Experiments |
|
|
180 | (12) |
|
18.1 Extraction of Optical Constants from Multiple Experiments |
|
|
180 | (4) |
|
18.2 Kramers-Kronig Relations |
|
|
184 | (3) |
|
18.3 Kramers-Kronig Equations for Normal Incidence Reflectance |
|
|
187 | (5) |
|
19 ATR Spectroscopy of Powders |
|
|
192 | (17) |
|
19.1 Propagation of Light through Inhomogeneous Media |
|
|
192 | (1) |
|
19.2 Spectroscopic Analysis of Powdered Samples |
|
|
193 | (2) |
|
19.3 Particle Size and Absorbance of Powders |
|
|
195 | (3) |
|
19.4 Propagation of Evanescent Wave in Powdered Media |
|
|
198 | (11) |
|
20 Energy Flow at a Totally Internally Reflecting Interface |
|
|
209 | (5) |
|
20.1 Energy Conservation at a Totally Reflecting Interface |
|
|
209 | (3) |
|
20.2 Speed of Propagation and the Formation of an Evanescent Wave |
|
|
212 | (2) |
|
21 Orientation Studies and ATR Spectroscopy |
|
|
214 | (6) |
|
21.1 Oriented Fraction and Dichroic Ratio |
|
|
214 | (3) |
|
21.2 Orientation and Field Strengths in Attenuated Total Reflection (ATR) |
|
|
217 | (3) |
|
22 Applications of ATR Spectroscopy |
|
|
220 | (4) |
|
|
220 | (1) |
|
|
220 | (1) |
|
|
221 | (1) |
|
22.4 Surface-Modified Solid Samples |
|
|
221 | (1) |
|
22.5 High Sample Throughput ATR Analysis |
|
|
221 | (1) |
|
22.6 Process and Reaction Monitoring |
|
|
222 | (2) |
Appendix A ATR Correction |
|
224 | (3) |
Appendix B Quantification in ATR Spectroscopy |
|
227 | (10) |
Index |
|
237 | |