Abstract

The effect of the two-point spatial correlation function of human tissue on the spectrum of scattered light is considered within the accuracy of the first Born approximation. An expression for the maximum of the spectrum of the scattered light at various scattering angles is derived. It is shown that for most biological tissues the spectrum of the backscattered light is centered at a higher frequency with respect to the incident spectrum.

© 2010 Optical Society of America

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References

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2006 (1)

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

2002 (1)

1998 (1)

G. Hausler and M. W. Lindner, J. Biomed. Opt. 3, 21 (1998).
[CrossRef]

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1996 (1)

1995 (1)

A. F. Fercher, C. K. Hitzenberger, G. Kamp, S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

1994 (1)

1989 (1)

1969 (1)

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Backman, V.

Bounma, B. E.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

G. J. Tearney, M. Shiskov, and B. E. Bounma, Opt. Lett. 27, 412 (2002).
[CrossRef]

Capoglu, I. R.

Chen, Z.

Dave, D.

El-Zaiat, S. Y.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Fercher, A. F.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Fisher, D. G.

Foley, J. T.

Gory, G.

Hasan, T.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

Hausler, G.

G. Hausler and M. W. Lindner, J. Biomed. Opt. 3, 21 (1998).
[CrossRef]

Hitzenberger, C. K.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Izatt, J. A.

Kamp, G.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Kolios, M. C.

Korotkova, O.

Kulkarni, M. D.

Kumar, G.

Lindner, M. W.

G. Hausler and M. W. Lindner, J. Biomed. Opt. 3, 21 (1998).
[CrossRef]

Milner, T. E.

Morofke, D.

Motz, J. T.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

Nelson, J. S.

Rizvi, I.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

Rogers, J. D.

Schmitt, J. M.

Shiskov, M.

Tearney, G. J.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

G. J. Tearney, M. Shiskov, and B. E. Bounma, Opt. Lett. 27, 412 (2002).
[CrossRef]

Vitkin, I. A.

White, W. M.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

Wolf, E.

Yang, V. X. D.

Yazdanfar, S.

Yelin, D.

D. Yelin, I. Rizvi, W. M. White, J. T. Motz, T. Hasan, B. E. Bounma, and G. J. Tearney, Nature 443, 765 (2006).
[CrossRef] [PubMed]

Zhao, D.

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Figures (1)

Fig. 1
Fig. 1

Relative frequency shift z ( θ ) of the scattered light from tissue with a spectrum of index correlation of power-law behavior at various angles θ for some selected values of the parameters: c = 3 × 10 8 ms 1 , m = 1.43 , L 0 = 4 μ m , ω 0 = 2.1655 × 10 15 s 1 , Δ 0.2 ω 0 .

Equations (20)

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F ( r , ω ) = ( 1 4 π ) ( ω c ) 2 [ n 2 ( r , ω ) 1 ] = ( 1 4 π ) ( ω c ) 2 n ( r , ω ) 2 + 2 n ( r , ω ) δ n ( r , ω ) 1 ,
C F ( r 1 , r 2 , ω ) = F * ( r 1 , ω ) F ( r 2 , ω ) ,
C F ( r 1 , r 2 , ω ) = ( 1 16 π 2 ) ( ω c ) 4 ( n 4 2 n 2 + 1 + 4 n 2 δ n ( r 1 , ω ) δ n ( r 2 , ω ) ) ,
Φ ( K ) = 4 π δ n 2 L 0 2 ( m 1 ) ( 1 + K 2 L 0 2 ) m ,
C ̃ F ( K , ω ) = ( 1 4 π ) ( ω c ) 4 n 2 δ n 2 L 0 2 ( m 1 ) ( 1 + K 2 L 0 2 ) m .
S ( l s , ω ) = V l 2 C ̃ F ( K , ω ) S i ( ω ) ,
S ( l s , ω ) = N ( l ) ( 1 + K 2 L 0 2 ) m ω 4 S i ( ω ) ,
S ( i ) ( ω ) = A exp ( ω ω 0 ) 2 ( 2 Δ 2 ) ,
S ( l , θ , ω ) = A N ( l ) ω 4 ( 1 + 4 ( ω c ) 2 sin 2 ( θ 2 ) L 0 2 ) m exp [ ( ω ω 0 ) 2 ( 2 Δ 2 ) ] .
ω 4 ω 0 ω 3 + ( H ( θ ) c 2 + 2 m Δ 2 4 Δ 2 ) ω 2 H ( θ ) ω 0 c 2 ω H ( θ ) Δ 2 c 2 = 0 ,
ω 0 ( θ ) = 1 4 [ b ( 8 f + b 2 4 s ) 1 2 ] + { 1 16 [ b ( 8 f + b 2 4 s ) 1 2 ] 2 [ f ( b f d ) ( 8 f + b 2 4 s ) 1 2 ] } 1 2 ,
b = ω 0 ,
s = H ( θ ) c 2 + 2 m Δ 2 4 Δ 2 ,
d = H ( θ ) ω 0 c 2 ,
e = H ( θ ) Δ 2 c 2 ,
f = { q 2 + [ ( q 2 ) 2 + ( p 3 ) 3 ] 1 2 } 1 3 + { q 2 [ ( q 2 ) 2 + ( p 3 ) 3 ] 1 2 } 1 2 2 3 Δ 2 + 1 3 m Δ 2 + 1 6 H ( θ ) c 2 ,
q 2 = Δ 6 27 ( 8 3 m + 3 m 2 m 3 ) + H ( θ ) c 2 Δ 4 ( 46 9 22 9 m 1 18 m 2 ) + H 2 ( θ ) c 2 Δ 4 ( 35 18 + m 36 + 2 H ( θ ) 3 ) + c 2 Δ 2 ω 0 2 H ( θ ) ( 1 3 + 2 m 3 ) c 4 ω 0 2 H 2 ( θ ) 12 c 6 H 3 ( θ ) 216 ,
p 3 = ( 1 9 m 2 + 4 9 m 4 9 ) Δ 4 + ( 14 9 m 9 ) Δ 2 c 2 H ( θ ) + ω 0 2 c 2 H ( θ ) 12 c 4 H 2 ( θ ) 36 .
q 2 = 4 c 2 Δ 2 ω 0 2 H ( θ ) ( 1 12 + m 6 ) ,
p 3 = ( 1 9 m 2 + 4 9 m 4 9 ) Δ 4 + ( 14 9 m 9 ) Δ 2 c 2 H ( θ ) + ω 0 2 c 2 H ( θ ) 12 .

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