Abstract

The quantum efficiency and the molar-absorption coefficients of different phenothiazine dyes are obtained by means of fitting the experimental data of transmittance as a function of time. An analytical expression for the intensity transmitted in a photopolymerizable holographic material is obtained, and good agreement between theory and experience is also achieved. The analysis of these parameters is of fundamental quantities in the photochemical characterization of holographic recording materials.

© 1998 Optical Society of America

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References

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  1. E. L. Simmons, “The photochemistry of solid layers. Reaction rates,” J. Phys. Chem. 75, 588–590 (1971).
    [Crossref]
  2. C. Carre, D. J. Lougnot, “A photochemical study of the methylene blue/acrylamide system in view of its use for holographic recording under red illumination,” J. Chimie Phys. 85, 485–490 (1988).
  3. N. Capolla, R. Lessard, “Real-time bleaching of methylene blue or thionine sensitized gelatin,” Appl. Opt. 30, 1196–1200 (1991).
    [Crossref] [PubMed]
  4. A. Dubois, M. Canva, A. Brun, F. Chaput, J. Boilot, “Photostability of dye molecules trapped in solid matrices,” Appl. Opt. 35, 3193–3199 (1996).
    [Crossref] [PubMed]
  5. N. J. Turro, Modern Molecular Photochemistry (University Science, Mill Valley, Calif., 1991), p. 103.
  6. K. Lavenberg, “A method for the solution of certain problems of least squares,” Quart. Appl. Math. 2, 164–168 (1944); D. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Math. 11, 431–441 (1963).
    [Crossref]
  7. L. Michaelis, S. Granick, “Metachromasy of basic dyestuffs,” J. Am. Chem. Soc. 67, 1212–1219 (1945).
    [Crossref]

1996 (1)

1991 (1)

1988 (1)

C. Carre, D. J. Lougnot, “A photochemical study of the methylene blue/acrylamide system in view of its use for holographic recording under red illumination,” J. Chimie Phys. 85, 485–490 (1988).

1971 (1)

E. L. Simmons, “The photochemistry of solid layers. Reaction rates,” J. Phys. Chem. 75, 588–590 (1971).
[Crossref]

1945 (1)

L. Michaelis, S. Granick, “Metachromasy of basic dyestuffs,” J. Am. Chem. Soc. 67, 1212–1219 (1945).
[Crossref]

1944 (1)

K. Lavenberg, “A method for the solution of certain problems of least squares,” Quart. Appl. Math. 2, 164–168 (1944); D. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Math. 11, 431–441 (1963).
[Crossref]

Boilot, J.

Brun, A.

Canva, M.

Capolla, N.

Carre, C.

C. Carre, D. J. Lougnot, “A photochemical study of the methylene blue/acrylamide system in view of its use for holographic recording under red illumination,” J. Chimie Phys. 85, 485–490 (1988).

Chaput, F.

Dubois, A.

Granick, S.

L. Michaelis, S. Granick, “Metachromasy of basic dyestuffs,” J. Am. Chem. Soc. 67, 1212–1219 (1945).
[Crossref]

Lavenberg, K.

K. Lavenberg, “A method for the solution of certain problems of least squares,” Quart. Appl. Math. 2, 164–168 (1944); D. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Math. 11, 431–441 (1963).
[Crossref]

Lessard, R.

Lougnot, D. J.

C. Carre, D. J. Lougnot, “A photochemical study of the methylene blue/acrylamide system in view of its use for holographic recording under red illumination,” J. Chimie Phys. 85, 485–490 (1988).

Michaelis, L.

L. Michaelis, S. Granick, “Metachromasy of basic dyestuffs,” J. Am. Chem. Soc. 67, 1212–1219 (1945).
[Crossref]

Simmons, E. L.

E. L. Simmons, “The photochemistry of solid layers. Reaction rates,” J. Phys. Chem. 75, 588–590 (1971).
[Crossref]

Turro, N. J.

N. J. Turro, Modern Molecular Photochemistry (University Science, Mill Valley, Calif., 1991), p. 103.

Appl. Opt. (2)

J. Am. Chem. Soc. (1)

L. Michaelis, S. Granick, “Metachromasy of basic dyestuffs,” J. Am. Chem. Soc. 67, 1212–1219 (1945).
[Crossref]

J. Chimie Phys. (1)

C. Carre, D. J. Lougnot, “A photochemical study of the methylene blue/acrylamide system in view of its use for holographic recording under red illumination,” J. Chimie Phys. 85, 485–490 (1988).

J. Phys. Chem. (1)

E. L. Simmons, “The photochemistry of solid layers. Reaction rates,” J. Phys. Chem. 75, 588–590 (1971).
[Crossref]

Quart. Appl. Math. (1)

K. Lavenberg, “A method for the solution of certain problems of least squares,” Quart. Appl. Math. 2, 164–168 (1944); D. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Math. 11, 431–441 (1963).
[Crossref]

Other (1)

N. J. Turro, Modern Molecular Photochemistry (University Science, Mill Valley, Calif., 1991), p. 103.

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Figures (4)

Fig. 1
Fig. 1

Scheme of the proposed mechanism of photopolymerization: DYE, the photoinitiator; Am, amine; P, polymer; M, monomer; DYE, photoinitiator; DYE*, excited photoinitiator; DYE, radical photoinitiator derivative; DYE, anion derivative of the photoinitiator; LDYE, leuco-dye; Am, amine; Am+, cation radical; AM, radial derived from amine; M, monomer; P, polymer; Mi, polymer radical with i subunits; hν, energy of an incident photon; K, reaction constant.

Fig. 2
Fig. 2

Experimental setup used for the measurement of the transmitted intensity. D, detector; Di, diapragm; H, plate; M, mirror; L, lens; SF, spatial filter.

Fig. 3
Fig. 3

Transmittance curves as a function of time for the three dyes studied: (a) MB. (b) Th. (c) Ac.

Fig. 4
Fig. 4

Absorption spectra for the three dyes studied in a film of PVA.

Tables (1)

Tables Icon

Table 1 Quantum Yield ϕ, Absorption Coefficient ∊, and Tsf Parameter for λ = 633 nm Obtained by the Fitting of the Transmittance Curves

Equations (6)

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d A t d t = - ϕ Ia t d ,
Ia t = I 0 1 - exp - A t d ,
A t = d - 1 ln 1 + exp dA 0 - 1 exp - ϕ I 0 t .
Ia t = I 0 exp dA 0 - 1 exp - ϕ I 0 t 1 + exp dA 0 - 1 exp - ϕ I 0 t .
I 0 = I a t + I T t .
T t = Tsf 1 + exp dA 0 - 1 exp - ϕ I 0 t ,

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