Raman optical activity spectroscopy by visible-excited coherent anti-Stokes Raman scattering

Kotaro Hiramatsu; Philippe Leproux; Vincent Couderc; Takashi Nagata; Hideaki Kano

doi:10.1364/OL.40.004170

Raman optical activity spectroscopy by visible-excited coherent anti-Stokes Raman scattering

Kotaro Hiramatsu, Philippe Leproux, Vincent Couderc, Takashi Nagata, and Hideaki Kano

Optics Letters
Vol. 40,
Issue 17,
pp. 4170-4173
(2015)
•https://doi.org/10.1364/OL.40.004170

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Kotaro Hiramatsu, Philippe Leproux, Vincent Couderc, Takashi Nagata, and Hideaki Kano, "Raman optical activity spectroscopy by visible-excited coherent anti-Stokes Raman scattering," Opt. Lett. 40, 4170-4173 (2015)

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Table of Contents Category
- Spectroscopy
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Atomic and molecular physics (020.0020)
- Nonlinear optics (190.0190)
- Spectroscopy (300.0300)
- Spectroscopy, coherent anti-Stokes Raman scattering (300.6230)
- Spectroscopy, four-wave mixing (300.6290)
- Spectroscopy, Raman (300.6450)

About this Article
History
- Original Manuscript: June 8, 2015
- Revised Manuscript: August 12, 2015
- Manuscript Accepted: August 13, 2015
- Published: September 1, 2015
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October 15, 2015 Spotlight on Optics

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Abstract

We developed a Raman optical activity (ROA) spectroscopic system with visible-excited coherent anti-Stokes Raman scattering (CARS). A supercontinuum within the visible region was generated with a photonic crystal fiber pumped with both 532 and 1064 nm excitation, generating a multiplexed CARS-ROA spectrum covering the whole fingerprint region. In visible excitation, the CARS-ROA spectrum of (-)- $β$ -pinene shows a higher contrast ratio of the chirality-induced signal to the achiral background than that of the previously reported near-infrared CARS-ROA spectrum.

Raman optical activity (ROA) spectroscopy has been used as an analytical tool in stereochemistry and biochemistry [1–3]. Although it is widely known that ROA spectra provide rich structural information on chiral molecules, its extremely weak signal has made measurements challenging. In ROA spectroscopy, difference Raman spectra between right and left circularly polarized (RCP and LCP) incident and/or scattered light is measured. However, the intensity difference is typically less than $10^{- 3}$ times that of the parental Raman intensity. In order to improve the signal to noise ratio (SNR) of ROA spectra, many instrumental improvements have been made [4–7]. Recently, we have developed ROA spectroscopy by using coherent anti-Stokes Raman scattering (CARS-ROA) [8,9]. In CARS-ROA spectroscopy, both the phase and amplitude of CARS radiation polarized perpendicularly to the incident polarization is measured with a heterodyne technique, in which the achiral CARS field generated from the sample itself [8] or external reference material [9] was used as a local oscillator. One of the most striking advantages of CARS-ROA spectroscopy over conventional spontaneous ROA spectroscopy is its higher contrast ratio of the chirality-induced signal to the achiral background. In our previous study, it was demonstrated that the contrast ratio of CARS-ROA measurement of $β$ -pinene is two orders of magnitude higher than that of spontaneous ROA measurement [8]. This improvement is significantly important in view of a future application to time-resolved ROA spectroscopy, which is a great challenge because the time-dependent change of the extremely weak ROA signal needs to be extracted from its huge achiral background. In order to improve the detection sensitivity by compensating the laser fluctuation, scattered circularly polarized (SCP)-ROA spectroscopy has been reported [6]. However, this technique still requires the extraction of the weak ROA signal from the huge achiral background after the signal detection. On the other hand, our CARS-ROA spectroscopy enables us to suppress the achiral background before the signal detection. Measurements less susceptible to the laser fluctuation are, therefore, realized in CARS-ROA spectroscopy. However, the SNR of the spectra obtained in CARS-ROA spectroscopy was not satisfactory in comparison with the conventional ROA spectroscopy due to the weak signal.

The weak signal intensity in our previous setups is partly due to near-infrared (NIR) excitation; we employed 1064 nm and a supercontinuum (SC) ranging from 1.1 to 1.6 μm light source for $ω_{1}$ and $ω_{2}$ , respectively. Although NIR excitation has several merits, such as low photodamage to the sample and weak fluorescence interference [10,11], it significantly sacrifices the SNR because the ROA signal is proportional to the fifth power of the incident frequency [1,10]. Herein, we have developed a CARS-ROA spectrometer with visible (532 nm) excitation and improved the SNR of ROA significantly.

The schematic of our visible-excited CARS-ROA spectrometer is shown in Fig. 1. A 25 kHz microchip laser (Hamamatsu, L11475), which provides 400 ps pulses at the wavelength of 1064 nm, is used as a light source. The output of the laser is frequency-doubled by a $L i B_{3} O_{5}$ crystal and the generated second harmonic is separated from the residual fundamental. The major part ( $\sim 100 mW$ ) of the 532 nm radiation is used as narrowband $ω_{1}$ and the other is used to excite a photonic crystal fiber (PCF). In this study, we employ the dual pumping scheme, in which the PCF is pumped both with 532 and 1064 nm radiation [12,13]. The spectra of SC generated by the PCF with different pumping schemes are shown in Fig. 2. The spectral profile of the SC pumped only by 532 nm is dominated by spiky peaks originating from stimulated Raman processes, which is unsuitable for multiplex CARS spectroscopy. When the PCF is excited both with 532 and 1064 nm, broad and intense SC, which covers almost all of the fingerprint region, is generated in the current experimental condition. The optical configuration around the sample is basically the same as what we previously reported in the NIR-CARS-ROA spectroscopy [8]. Incident $ω_{1}$ and $ω_{2}$ polarizations are set parallel to each other with a single Glan–Taylor polarizer. The polarization of the CARS field is selected by the second Glan–Taylor polarizer after the sample, which is slightly tilted from the perpendicular configuration (referred to as $θ$ ), so that the small portion of achiral CARS field passes through the polarizer and acts as a local oscillator. Spectra are obtained with a polychromator (Acton SP2300, Princeton Instruments) and a CCD camera (PIXIS 100BR eXcelon, Princeton Instruments). Simulation of the CARS-ROA spectrum is performed by using density functional theory with Gaussian 03 [14]. The minimum energy structure was optimized with the B3PW91 functional and aug-cc-pVDZ basis set and Raman/ROA properties were calculated with the B3LYP functional and 6-31G** basis set. A scaling factor of 0.97 was applied for comparison with the observed spectra.

Fig. 1. Schematic diagram of the visible-excited CARS-ROA spectrometer. HWP, half-wave plate; DM, short-pass dichroic mirror (Thorlabs, DMSP805); DM2, long-pass dichroic mirror (Thorlabs, DMLP900); PBS, polarized beam splitter (Thorlabs, PBS201); PCF, custom-made photonic crystal fiber; OD, optical delay; LPF, long-pass filter (Semrock, BLP01-532R-25); GTP, Glan–Taylor prism (Thorlabs, GT5); S, sample; NF, notch filter (Semrock, NF03-532/1064E-25); SPF, short-pass filter (Semrock, SP01-532RU-25).

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Fig. 2. Spectra of the SC generated with the different pump schemes. These are measured as nonresonant CARS spectra of water.

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The procedure for extracting CARS-ROA spectra is based on that previously reported [8]. We have measured CARS spectra at $θ = \pm 0.5 °$ and the CARS-ROA spectrum can be obtained as the difference spectrum between these. As previously discussed [9], however, CARS-ROA spectra are distorted by optical rotatory dispersion (ORD) of the sample itself. With ORD (here denoted as $α$ ), the CARS spectrum obtained at $θ$ is written as

I (θ) \propto {| \sin (θ - α) χ_{1111} + \cos (θ - α) χ_{2111} |}^{2} .

Thus, the calculated difference spectrum between

I (θ)

and

I (- θ)

becomes

I (θ) - I (- θ) \underset{\sim}{\propto} 2 θ α {| χ_{1111} |}^{2} + 4 θ Re [χ_{1111}^{*} χ_{2111}],

where

{| χ_{1111} |}^{2}

and

Re [χ_{1111}^{*} χ_{2111}]

correspond to the CARS and ROA intensities, respectively. In Eq. (2), the term of

{| χ_{2111} |}^{2}

is neglected. The dispersive CARS spectrum is superposed on the calculated difference spectrum with the weight coefficient of

2 θ α

. In order to remove this contribution, here we fit the

I (θ) / I (- θ)

spectrum with a spline function (Fig. 3). The fitted spectrum can be approximated by

{[(θ - α) / (θ + α)]}^{2}

because the sharp vibrational peaks do not significantly affect the result of the fitting procedure with a spline function. Then, the ROA spectrum is extracted by calculating

\frac{θ + α}{θ - α} [I (θ) - {(\frac{θ - α}{θ + α})}^{2} I (- θ)] \underset{\sim}{\propto} θ Re [χ_{1111}^{*} χ_{2111}] .

Fig. 3. CARS spectra of (+)- $β$ -pinene measured at $θ = 0.5 °$ (red curve) and $θ = - 0.5 °$ (blue curve). Dots represent the ratio of these two CARS spectra $I (θ) / I (- θ)$ and the dashed curve is from the spline fitting.

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The CARS and CARS-ROA spectra of $β$ -pinene measured with the 532 nm setup developed in this work are shown in Figs. 4(a)–4(c). For comparison, the CARS-ROA spectrum of (-)- $β$ -pinene obtained with the previous 1064 nm setup is shown in Fig. 4(d). In the NIR-CARS-ROA spectrum with 1 h exposure time, weak ROA signals in the higher wavenumber region ( $> 900 {cm}^{- 1}$ ) were severely buried in noise although several characteristic peaks between $600 {cm}^{- 1}$ and $900 {cm}^{- 1}$ were detected [Fig. 4(d)]. In the VIS-CARS-ROA spectroscopy, these characteristic peaks are clearly observed only by 1 min exposure [Fig. 4(b)]. With 1 h exposure time [Fig. 4(c)], the VIS-CARS-ROA spectrum was obtained with a high SNR and almost all the peaks are in the mirror image of the enantiomer’s spectrum. Nearly all the spectral features in the measured spectrum also show good consistency with those in the spectrum simulated with quantum chemical calculations.

Fig. 4. (a) CARS spectrum of (−)- $β$ -pinene with 1 h exposure time with the 532 nm setup developed in this research (reduced to 1/10 for comparison). (b) CARS-ROA spectra of (+)- $β$ -pinene (black) and (−)- $β$ -pinene (red) obtained with the 532 nm setup. The exposure time was 1 min, and the excitation power was 100 mW for $ω_{1}$ and 20 mW for $ω_{2}$ . (c) CARS-ROA spectra of (+) and (−)- $β$ -pinene obtained with 1 h exposure. Measurement conditions other than exposure time are the same as (b). (d) CARS-ROA spectrum of (−)- $β$ -pinene obtained with the previous 1064 nm setup with the 1 h exposure. The excitation power was 200 mW for $ω_{1}$ and 70 mW for $ω_{2}$ . (e) Calculated CARS-ROA spectrum.

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Although it is difficult to quantitatively compare the VIS-CARS-ROA spectrum to the NIR-CARS-ROA spectrum because of the difference in the instrumental performance, the ratio $Re [χ_{1111}^{*} χ_{2111}] / {| χ_{1111} |}^{2}$ is independent of instrumental response and can be directly compared. This ratio is calculated as

\frac{Re [χ_{1111}^{*} χ_{2111}]}{{| χ_{1111} |}^{2}} = \frac{A Γ}{2 χ_{1111}^{NR}} \frac{Δ}{{[(Ω + A / χ_{1111}^{NR}) - ω]}^{2} + Γ^{2}},

where

A, Ω, Γ

, and

Δ

are the amplitude, frequency, damping constant, and circular intensity difference of the Raman active mode, respectively, and

ω

is the Raman shift. Based on the previous measurements [8,9], the contribution of

χ_{2111}^{NR}

is neglected in Eq. (4). Due to the linear frequency dependence of the

Δ

value [1], Eq. (4) should be proportional to the frequency of the scattered light. Thus, it is expected that the ratio is 1.8–2.0 times larger in the visible excitation than the NIR excitation.

These ratios for NIR- and VIS-CARS-ROA spectra are shown in Fig. 5. The ratio calculated for the visible excitation is even greater than two times that for the NIR excitation, which is probably due to electronic preresonance. This enhancement, in addition to the reduction of the achiral background in CARS-ROA spectroscopy, makes measurements even easier.

Fig. 5. Comparison of the spectra of $Re [χ_{1111}^{*} χ_{2111}] / {| χ_{1111} |}^{2}$ calculated from the VIS- and NIR-CARS-ROA measurements.

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In conclusion, a visible-excited CARS-ROA spectrometer was realized. By employing the dual pumping scheme, we have generated broad and intense SC around 532 nm, which enables multiplex visible CARS-ROA spectroscopy. We have measured CARS-ROA spectra of (+)- and (-)- $β$ -pinene with the visible excitation as a demonstration of the setup. The obtained spectra in VIS-CARS-ROA are consistent with both the spectrum measured in the previously developed NIR-CARS-ROA setup and that simulated by quantum chemical calculation. In the visible excitation, the SNR higher than that in the NIR excitation was realized mainly due to a large scattering cross section and an optical activity tensor.

Funding

Japan Society for the Promotion of Science (JSPS) Bilateral Program (Japan-France).

Acknowledgment

The authors gratefully acknowledge Juichiro Ukon, UKON CRAFT SCIENCE, Ltd. for assisting with a fruitful collaboration between the Japanese and French labs.

REFERENCES

1. L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University, 2004).

2. L. Nafie, Vibrational Optical Activity: Principles and Applications (Wiley, 2011).

3. L. D. Barron and A. D. Buckingham, Chem. Phys. Lett. 492, 199 (2010). [CrossRef]

4. L. Hecht and L. D. Barron, J. Raman Spectrosc. 25, 443 (1994). [CrossRef]

5. L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999). [CrossRef]

6. W. Hug and G. Hangartner, J. Raman Spectrosc. 30, 841 (1999). [CrossRef]

7. W. Hug, Appl. Spectrosc. 57, 1 (2003). [CrossRef]

8. K. Hiramatsu, M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Phys. Rev. Lett. 109, 083901 (2012). [CrossRef]

9. K. Hiramatsu, H. Kano, and T. Nagata, Opt. Express 21, 13515 (2013). [CrossRef]

10. L. A. Nafie, B. E. Brinson, X. Cao, D. A. Rice, O. M. Rahim, R. K. Dukor, and N. J. Halas, Appl. Spectrosc. 61, 1103 (2007). [CrossRef]

11. M. Unno, T. Kikukawa, M. Kumauchi, and N. Kamo, J. Phys. Chem. B 117, 1321 (2013). [CrossRef]

12. P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004). [CrossRef]

13. M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Opt. Lett. 32, 3050 (2007). [CrossRef]

14. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, J. A. Montgomery Jr., T. Vreven, K. N. Kudin, J. C. Burant, J. M. Millam, S. S. Iyengar, J. Tomasi, V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, G. A. Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, M. Klene, X. Li, J. E. Knox, H. P. Hratchian, J. B. Cross, V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, P. Y. Ayala, K. Morokuma, G. A. Voth, P. Salvador, J. J. Dannenberg, V. G. Zakrzewski, S. Dapprich, A. D. Daniels, M. C. Strain, O. Farkas, D. K. Malick, A. D. Rabuck, K. Raghavachari, J. B. Foresman, J. V. Ortiz, Q. Cui, A. G. Baboul, S. Clifford, J. Cioslowski, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, I. Komaromi, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, C. Y. Peng, A. Nanayakkara, M. Challacombe, P. M. W. Gill, B. Johnson, W. Chen, M. W. Wong, C. Gonzalez, and J. A. Pople, Gaussian 03, Revision E.01 (Gaussian Inc., 2004).

References

View by:
Article Order
|
Year
|
Author
|
Publication

L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University, 2004).
L. Nafie, Vibrational Optical Activity: Principles and Applications (Wiley, 2011).
L. D. Barron and A. D. Buckingham, Chem. Phys. Lett. 492, 199 (2010).
[Crossref]
L. Hecht and L. D. Barron, J. Raman Spectrosc. 25, 443 (1994).
[Crossref]
L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]
W. Hug and G. Hangartner, J. Raman Spectrosc. 30, 841 (1999).
[Crossref]
W. Hug, Appl. Spectrosc. 57, 1 (2003).
[Crossref]
K. Hiramatsu, M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Phys. Rev. Lett. 109, 083901 (2012).
[Crossref]
K. Hiramatsu, H. Kano, and T. Nagata, Opt. Express 21, 13515 (2013).
[Crossref]
L. A. Nafie, B. E. Brinson, X. Cao, D. A. Rice, O. M. Rahim, R. K. Dukor, and N. J. Halas, Appl. Spectrosc. 61, 1103 (2007).
[Crossref]
M. Unno, T. Kikukawa, M. Kumauchi, and N. Kamo, J. Phys. Chem. B 117, 1321 (2013).
[Crossref]
P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004).
[Crossref]
M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Opt. Lett. 32, 3050 (2007).
[Crossref]
M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, J. A. Montgomery, T. Vreven, K. N. Kudin, J. C. Burant, J. M. Millam, S. S. Iyengar, J. Tomasi, V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, G. A. Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, M. Klene, X. Li, J. E. Knox, H. P. Hratchian, J. B. Cross, V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, P. Y. Ayala, K. Morokuma, G. A. Voth, P. Salvador, J. J. Dannenberg, V. G. Zakrzewski, S. Dapprich, A. D. Daniels, M. C. Strain, O. Farkas, D. K. Malick, A. D. Rabuck, K. Raghavachari, J. B. Foresman, J. V. Ortiz, Q. Cui, A. G. Baboul, S. Clifford, J. Cioslowski, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, I. Komaromi, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, C. Y. Peng, A. Nanayakkara, M. Challacombe, P. M. W. Gill, B. Johnson, W. Chen, M. W. Wong, C. Gonzalez, and J. A. Pople, Gaussian 03, Revision E.01 (Gaussian Inc., 2004).

2013 (2)

K. Hiramatsu, H. Kano, and T. Nagata, Opt. Express 21, 13515 (2013).
[Crossref]

M. Unno, T. Kikukawa, M. Kumauchi, and N. Kamo, J. Phys. Chem. B 117, 1321 (2013).
[Crossref]

2012 (1)

K. Hiramatsu, M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Phys. Rev. Lett. 109, 083901 (2012).
[Crossref]

2010 (1)

L. D. Barron and A. D. Buckingham, Chem. Phys. Lett. 492, 199 (2010).
[Crossref]

1999 (2)

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

W. Hug and G. Hangartner, J. Raman Spectrosc. 30, 841 (1999).
[Crossref]

1994 (1)

L. Hecht and L. D. Barron, J. Raman Spectrosc. 25, 443 (1994).
[Crossref]

Adamo, C.

M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, J. A. Montgomery, T. Vreven, K. N. Kudin, J. C. Burant, J. M. Millam, S. S. Iyengar, J. Tomasi, V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, G. A. Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, M. Klene, X. Li, J. E. Knox, H. P. Hratchian, J. B. Cross, V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, P. Y. Ayala, K. Morokuma, G. A. Voth, P. Salvador, J. J. Dannenberg, V. G. Zakrzewski, S. Dapprich, A. D. Daniels, M. C. Strain, O. Farkas, D. K. Malick, A. D. Rabuck, K. Raghavachari, J. B. Foresman, J. V. Ortiz, Q. Cui, A. G. Baboul, S. Clifford, J. Cioslowski, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, I. Komaromi, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, C. Y. Peng, A. Nanayakkara, M. Challacombe, P. M. W. Gill, B. Johnson, W. Chen, M. W. Wong, C. Gonzalez, and J. A. Pople, Gaussian 03, Revision E.01 (Gaussian Inc., 2004).

Al-Laham, M. A.

Austin, A. J.

Ayala, P. Y.

Baboul, A. G.

Bakken, V.

Barone, V.

Barron, L. D.

L. D. Barron and A. D. Buckingham, Chem. Phys. Lett. 492, 199 (2010).
[Crossref]

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

L. Hecht and L. D. Barron, J. Raman Spectrosc. 25, 443 (1994).
[Crossref]

L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University, 2004).

Bell, A. F.

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

Blanch, E. W.

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

Brinson, B. E.

L. A. Nafie, B. E. Brinson, X. Cao, D. A. Rice, O. M. Rahim, R. K. Dukor, and N. J. Halas, Appl. Spectrosc. 61, 1103 (2007).
[Crossref]

Buckingham, A. D.

L. D. Barron and A. D. Buckingham, Chem. Phys. Lett. 492, 199 (2010).
[Crossref]

Burant, J. C.

Cammi, R.

Cao, X.

L. A. Nafie, B. E. Brinson, X. Cao, D. A. Rice, O. M. Rahim, R. K. Dukor, and N. J. Halas, Appl. Spectrosc. 61, 1103 (2007).
[Crossref]

Challacombe, M.

Champert, P.-A.

P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004).
[Crossref]

Cheeseman, J. R.

Chen, W.

Cioslowski, J.

Clifford, S.

Cossi, M.

Couderc, V.

K. Hiramatsu, M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Phys. Rev. Lett. 109, 083901 (2012).
[Crossref]

M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Opt. Lett. 32, 3050 (2007).
[Crossref]

P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004).
[Crossref]

Cross, J. B.

Cui, Q.

Daniels, A. D.

Dannenberg, J. J.

Dapprich, S.

Day, L. A.

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

Dukor, R. K.

L. A. Nafie, B. E. Brinson, X. Cao, D. A. Rice, O. M. Rahim, R. K. Dukor, and N. J. Halas, Appl. Spectrosc. 61, 1103 (2007).
[Crossref]

Ehara, M.

Farkas, O.

Février, S.

P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004).
[Crossref]

Foresman, J. B.

Fox, D. J.

Frisch, M. J.

Froehly, C.

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W. Hug, Appl. Spectrosc. 57, 1 (2003).
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L. Hecht and L. D. Barron, J. Raman Spectrosc. 25, 443 (1994).
[Crossref]

L. Hecht, L. D. Barron, E. W. Blanch, A. F. Bell, and L. A. Day, J. Raman Spectrosc. 30, 815 (1999).
[Crossref]

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Opt. Express (2)

P.-A. Champert, V. Couderc, P. Leproux, S. Février, V. Tombelaine, L. Labonté, P. Roy, C. Froehly, and P. Nérin, Opt. Express 12, 4366 (2004).
[Crossref]

K. Hiramatsu, H. Kano, and T. Nagata, Opt. Express 21, 13515 (2013).
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Opt. Lett. (1)

M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Opt. Lett. 32, 3050 (2007).
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Phys. Rev. Lett. (1)

K. Hiramatsu, M. Okuno, H. Kano, P. Leproux, V. Couderc, and H.-O. Hamaguchi, Phys. Rev. Lett. 109, 083901 (2012).
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Other (3)

L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University, 2004).

L. Nafie, Vibrational Optical Activity: Principles and Applications (Wiley, 2011).

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Fig. 2. Spectra of the SC generated with the different pump schemes. These are measured as nonresonant CARS spectra of water.

View in Article | Download Full Size | PPT Slide | PDF

Fig. 3. CARS spectra of (+)-

β

-pinene measured at

θ = 0.5 °

(red curve) and

θ = - 0.5 °

(blue curve). Dots represent the ratio of these two CARS spectra

I (θ) / I (- θ)

and the dashed curve is from the spline fitting.

View in Article | Download Full Size | PPT Slide | PDF

Fig. 4. (a) CARS spectrum of (−)-

β

-pinene with 1 h exposure time with the 532 nm setup developed in this research (reduced to 1/10 for comparison). (b) CARS-ROA spectra of (+)-

β

-pinene (black) and (−)-

β

-pinene (red) obtained with the 532 nm setup. The exposure time was 1 min, and the excitation power was 100 mW for

ω_{1}

and 20 mW for

ω_{2}

. (c) CARS-ROA spectra of (+) and (−)-

β

-pinene obtained with 1 h exposure. Measurement conditions other than exposure time are the same as (b). (d) CARS-ROA spectrum of (−)-

β

-pinene obtained with the previous 1064 nm setup with the 1 h exposure. The excitation power was 200 mW for

ω_{1}

and 70 mW for

ω_{2}

. (e) Calculated CARS-ROA spectrum.

View in Article | Download Full Size | PPT Slide | PDF

Fig. 5. Comparison of the spectra of

Re [χ_{1111}^{*} χ_{2111}] / {| χ_{1111} |}^{2}

calculated from the VIS- and NIR-CARS-ROA measurements.

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Equations (4)

Equations on this page are rendered with MathJax. Learn more.

I (θ) \propto {| \sin (θ - α) χ_{1111} + \cos (θ - α) χ_{2111} |}^{2} .

I (θ) - I (- θ) \underset{\sim}{\propto} 2 θ α {| χ_{1111} |}^{2} + 4 θ Re [χ_{1111}^{*} χ_{2111}],

\frac{θ + α}{θ - α} [I (θ) - {(\frac{θ - α}{θ + α})}^{2} I (- θ)] \underset{\sim}{\propto} θ Re [χ_{1111}^{*} χ_{2111}] .

\frac{Re [χ_{1111}^{*} χ_{2111}]}{{| χ_{1111} |}^{2}} = \frac{A Γ}{2 χ_{1111}^{NR}} \frac{Δ}{{[(Ω + A / χ_{1111}^{NR}) - ω]}^{2} + Γ^{2}},

Abstract

Funding

Acknowledgment

REFERENCES

References

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2012 (1)

2010 (1)

2007 (2)

2004 (1)

2003 (1)

1999 (2)

1994 (1)

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