Mueller Matrix Approach to Fluorescence Spectroscopy. Part I: Mueller Matrix Expressions for Fluorescent Samples and Their Application to Problems of Circularly Polarized Emission Spectroscopy

Abstract

Mueller matrixes are presented for optically inactive and fluorescent samples with and without photo-selection, and for optically active and fluorescent ones with and without photo-selection, in order to analyze phenomena observed in fluorescence polarization. Absorption-fluorescence transformation matrices are introduced in the derivation of formula to take account of the process occurring during the interval between excitation and emission. Mueller matrix expressions derived are used for investigating the problems of circularly polarized emission (CPE) and linearly polarized emission (LPE) measurements. It is found that they are useful not only in analyzing the effects of experimental systems on fluorescence polarization spectroscopy but also in the design, analysis, and evaluation of CPE and LPE spectrometers.

Keywords

Mueller matrix approach Fluorescence anisotropy Mueller matrix expression for fluorescent sample Absorption-fluorescence transformation matrix Circularly polarized emission Linearly polarized emission

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References

Schellman

J. A.

, in Polarized Spectroscopy of Ordered Systems, Samori

and Thulstrup

E. W

, Eds. (Kluwer Academic Publishers, Dordrecht, 1988), p. 231.

Jensen

H. P.

Schellman

J. A.

and Troxell

, Appl. Spectrosc. 32, 192 (1978).

Schellman

and Jensen

H. P

, Chem. Rev. 87, 1359 (1987).

Davidsson

and Norden

, Srectrochim. Acta, Part A, 32A, 717 (1976).

Norden

, J. Phys. Chem. 81, 151 (1977).

Davidsson

Norden

and Seth

, Chem. Phys. Lett. 70, 313 (1980).

Shindo

Nishio

and Maeda

, Biopolymers 30, 405 (1990).

Shindo

and Takigaura

, Polymer Commun. 25, 378 (1984).

Shindo

and Nakagawa

, Rev. Sci. Instrum. 56, 32 (1985).

10.

Shindo

Mizuno

Sudani

Hayakawa

Ohmi

Sakayanagi

and Takeuchi

, Rev. Sci. Instrum. 60, 3633 (1989).

11.

Van de Hulst

H. C.

, Light Scattering by Small Particles (John Wiley, New York, 1957), p. 53.

12.

Shurcliff

W. A.

, Polarized Light (Harvard University Press, Cambridge, Massachusetts, 1962) p. 165.

13.

Gō

, J. Phys. Soc. Japn. 23, 88 (1967).

14.

Shindo

and Nakagawa

, Appl. Spectrosc. 39, 32 (1985).

15.

Parker

C. A.

and Rees

W. T

, Anal. Chem. 85, 587 (1960).

16.

Troxell

T. C.

and Scherage

H. A

, Macromolecules 4, 512 (1971).

17.

Oster

and Nishijima

, in Newer Methods of Polymer Characterization, Ke

Ed. (Interscience Publishers, New York, 1964), p. 207.

18.

Richardson

F. S.

and Riehl

J. P

, Chem. Rev. 77, 773 (1977).

19.

Steinberg

I. Z.

, Methods Enzymol. 49, 179 (1978).

20.

Dekkers

H. P. J. M.

Moraal

P. F.

Timper

J.M.

and Riehl

J. P

, Appl. Spectrosc. 29, 818 (1985).

21.

Zimmerman

V. H.

and Joop

, Z. Elektrochem. 65, 61 (1961).