## Treatise on materials science and technology, Volume 3 |

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Page 11

In order to make practical calculations it is convenient to work with the

components of the

-(ff21«l + ff22«2 + ff23«3) (53) £3 = -(ff3l«l + ^32«2 + ^33«3)- From Eq. (53) it

follows that the energy flux associated with a pure longitudinal mode may never

deviate from the direction of the wave normal; that is, the direction cosines of the

will deviate ...

In order to make practical calculations it is convenient to work with the

components of the

**energy**-**flux vector**in the form El = -(ffll«l + ffl2«2 + ffl3«3) E2 =-(ff21«l + ff22«2 + ff23«3) (53) £3 = -(ff3l«l + ^32«2 + ^33«3)- From Eq. (53) it

follows that the energy flux associated with a pure longitudinal mode may never

deviate from the direction of the wave normal; that is, the direction cosines of the

**energy**-**flux vector**are equal to /, m, n. For a pure transverse mode the energy fluxwill deviate ...

Page 28

Herbert Herman. Note that the condition for pure mode transverse waves x+f}+y =

0 now becomes / = 0. (151) Using Eqs. (134), (146), and (150), the components

of the

are ...

Herbert Herman. Note that the condition for pure mode transverse waves x+f}+y =

0 now becomes / = 0. (151) Using Eqs. (134), (146), and (150), the components

of the

**energy**-**flux vector**for transverse waves with respect to the new coordinatesare ...

Page 34

At the [100] and [1 10] corners pure-mode transverse waves are propagated and

there are no energy- flux deviations. Of particular interest is the [1 1 1] corner

where, although a pure transverse mode propagates, there is an energy-flux

deviation of about 6 degrees. For this orientation, the actual direction of the

somewhere on the projected circle of radius equivalent to 6 degrees drawn about

the [111] ...

At the [100] and [1 10] corners pure-mode transverse waves are propagated and

there are no energy- flux deviations. Of particular interest is the [1 1 1] corner

where, although a pure transverse mode propagates, there is an energy-flux

deviation of about 6 degrees. For this orientation, the actual direction of the

**energy**-**flux vector**will depend upon the particle displacements but will always liesomewhere on the projected circle of radius equivalent to 6 degrees drawn about

the [111] ...

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