98
5 Study of the Optical Characteristics of a Biotissue …
1
n
2
1
−ik 1z + ik 2z A
00
=
1
n
2
2
−ik
2z B
+
00 + ik
3z B
−
00
,
1
n
2
2
−ik
2z B
+
00 exp(−h 1 ik
2z ) + ik
3z B
−
00 exp(h 1 ik
3z )
=
=
1
n
2
3
−ik
3z C
+
00 exp(−h 1 ik
3z ) + ik
4z C
−
00 exp(h 1 ik
4z )
+
+
1
n
2
3
∂
∂ξ 3
E scat (ξ 1 , ξ 2 , ξ 3 )| ξ 3 =εh 1 (ξ 1 ,ξ 2 ) ,
1
n
2
3
−ik
3z C
+
00 exp(−h 2 ik
3z ) + ik
4z C
−
00 exp(h 2 ik
4z )
+
+
1
n
2
3
∂
∂ξ 3
E scat (ξ 1 , ξ 2 , ξ 3 )| ξ 3 =εh 1 (ξ 1 ,ξ 2 ) =
=
1
n
2
4
−ik
4z D
+
00 exp(−h 2 ik
4z ) + ik
5z D
−
00 exp(h 2 ik
5z )
,
1
n
2
4
−ik
4z D
+
00 exp(−h 2 ik
4z ) + ik
5z D
−
00 exp(h 2 ik
5z )
=
=
1
n
2
5
−ik 5z E
00 exp(−h 3 ik 5z )
.
The expression for the reflection of a Gaussian beam with an arbitrary cross section
is defined by expression (4.67). The expressions for the reflected H field are derived
in a similar manner.
The radiation intensity is defined by expression (4.69) and Substitution of expressions (4.67) into (4.69) and thus, at the given stage, we have derived the expressions
that make it possible to determine the explicit dependence of the intensity of laser
radiation on the refractive index and the absorption coefficient for a system of blood
vessels in the upper layer of the dermis. Further analysis of the above dependences
will be carried out using numerical methods.
5 Study of the Optical Characteristics of a Biotissue …
1
n
2
1
−ik 1z + ik 2z A
00
=
1
n
2
2
−ik
2z B
+
00 + ik
3z B
−
00
,
1
n
2
2
−ik
2z B
+
00 exp(−h 1 ik
2z ) + ik
3z B
−
00 exp(h 1 ik
3z )
=
=
1
n
2
3
−ik
3z C
+
00 exp(−h 1 ik
3z ) + ik
4z C
−
00 exp(h 1 ik
4z )
+
+
1
n
2
3
∂
∂ξ 3
E scat (ξ 1 , ξ 2 , ξ 3 )| ξ 3 =εh 1 (ξ 1 ,ξ 2 ) ,
1
n
2
3
−ik
3z C
+
00 exp(−h 2 ik
3z ) + ik
4z C
−
00 exp(h 2 ik
4z )
+
+
1
n
2
3
∂
∂ξ 3
E scat (ξ 1 , ξ 2 , ξ 3 )| ξ 3 =εh 1 (ξ 1 ,ξ 2 ) =
=
1
n
2
4
−ik
4z D
+
00 exp(−h 2 ik
4z ) + ik
5z D
−
00 exp(h 2 ik
5z )
,
1
n
2
4
−ik
4z D
+
00 exp(−h 2 ik
4z ) + ik
5z D
−
00 exp(h 2 ik
5z )
=
=
1
n
2
5
−ik 5z E
00 exp(−h 3 ik 5z )
.
The expression for the reflection of a Gaussian beam with an arbitrary cross section
is defined by expression (4.67). The expressions for the reflected H field are derived
in a similar manner.
The radiation intensity is defined by expression (4.69) and Substitution of expressions (4.67) into (4.69) and thus, at the given stage, we have derived the expressions
that make it possible to determine the explicit dependence of the intensity of laser
radiation on the refractive index and the absorption coefficient for a system of blood
vessels in the upper layer of the dermis. Further analysis of the above dependences
will be carried out using numerical methods.