A0 ( x=0)   A = A0e-ax I = I0e-2ax HVT (half-value thickness) is the tissue thickness needed to decrease I0 to 1/2 I0. The table below gives the typical HVTs for different tissues.  What is the attenuation of sound intensity by 1cm of muscle and fat?  In the table a comparison between different frequencies on bone is made. Which is better, a higher or lower frequency? Why?

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Chapter28: Special Relativity
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A( x=0)  

A = A0e-ax

I = I0e-2ax

HVT (half-value thickness) is the tissue thickness needed to decrease Ito 1/2 I0.

The table below gives the typical HVTs for different tissues. 

What is the attenuation of sound intensity by 1cm of muscle and fat? 

In the table a comparison between different frequencies on bone is made. Which is better, a higher or lower frequency? Why? 

Material
Muscle
Fat
Brain (on average)
Bone (human skull)
Frequency (MHz)
1
0,8
1
0,6
0,8
a (cm-¹)
Is
0,13
0,05
0,11
Half - Value
Thickness (cm)
2,7
6,9
3,2
0,4
0,9
1,2
1,7
1,6
3,2
1,8
4,2
2,25
5,3
3,5
7,8
Water
1
2,5 x 10-4
1,4 x 10³
Table 1: Absorption Coefficients and Half-Value Thickness for various Substances
0,95
0,34
0,21
0,11
0,08
0,06
0,045
Transcribed Image Text:Material Muscle Fat Brain (on average) Bone (human skull) Frequency (MHz) 1 0,8 1 0,6 0,8 a (cm-¹) Is 0,13 0,05 0,11 Half - Value Thickness (cm) 2,7 6,9 3,2 0,4 0,9 1,2 1,7 1,6 3,2 1,8 4,2 2,25 5,3 3,5 7,8 Water 1 2,5 x 10-4 1,4 x 10³ Table 1: Absorption Coefficients and Half-Value Thickness for various Substances 0,95 0,34 0,21 0,11 0,08 0,06 0,045
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