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Anal. Chem. 2004, 76, 2159-2167<br />

Polarization <strong>Mapping</strong>: A Method<br />

To Improve Sum Frequency<br />

Generation Spectral Analysis<br />

Jie Wang, Matthew L. Clarke, Zhan Chen*


Polarization <strong>Mapping</strong><br />

An efficient methods to improve the spectral fitting and resolution of<br />

SFG measurements by collecting SFG spectra using various<br />

polarization angles of the input and output signal beams.<br />

Advantages<br />

Vibrational peaks which are heavily overlapped with each other can<br />

be separated by using polarization mapping method<br />

Polarization mapping method can ensure correct and reasonable<br />

spectra fitting.


SFG:<br />

a) Incidence angles<br />

IR beam: 45º Visible beam: 60º<br />

b) Polarization<br />

IR beam: p polarization direction<br />

Experiments<br />

Visible beam: 45º from the s polarization direction<br />

SFG: collected at various polarization angles of a polarizer in front of the detector.<br />

Sample:<br />

a) Deuterated polystyrene (d-PS)<br />

b) Bovine serum albumin (BSA)<br />

PS


1. SFG Spectral Fitting Background<br />

ei — unit polarization vector of the optical field at ωi<br />

L(ωi) — tensorial Fresnel factor<br />

Incoming beam is in the x-z plane<br />

SFG signal is collected at the reflection direction


σi — the angle between the polarization direction of the beam i and the s<br />

polarization direction.


Visible beam — 45º from the s polarization direction (σ1 = 45º)<br />

IR beam — p polarization direction (σ2 = 90º)<br />

SFG — σs


When the input and output angles of the incident laser<br />

beams are set at the critical angles for internal total<br />

reflection:<br />

L XXZ, L XZX, L ZXX ≈ 0


135º<br />

153º<br />

2. Theoretical Examples<br />

0º<br />

26.6º<br />

45º<br />

PPP<br />

SSP


Vibrational Peaks with Similar Peak Centers<br />

SSP<br />

PPP


Vibrational Peaks with Identical Peak Centers<br />

SSP<br />

PPP


3. Applications to Real Examples<br />

PS<br />

d-PS Surface in Air<br />

sample setup


3. Applications to Real Examples<br />

d-PS Surface in Air


PS<br />

PS Surface in Air<br />

Five C-H vibrational peaks of phenyl group<br />

PPP<br />

SSP<br />

3036 cm -1<br />

3024 cm -1<br />

3069 cm -1<br />

3057 cm -1<br />

3084 cm -1


BSA on the Fused-Silica Surface in Air<br />

PPP<br />

SSP


BSA on the Fused-Silica Surface in Air<br />

PPP<br />

SSP


Conclusion<br />

• Vibrational peaks which are heavily overlapped with<br />

each other can be separated by using polarization<br />

mapping method<br />

• Fitting parameters derived from only fitting the ssp<br />

and ppp spectra may not always be reliable<br />

• Polarization mapping method can improve the<br />

reliability of fitting results

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