Page 263 - Introduction to Continuum Mechanics

Plane Equivoluminai Wave 247

(a) a transverse wave of amplitude £j wavelength /j polarized in the xi KI plane and propagating
in the direction of e^.
(b) a transverse wave of amplitude £2 wavelength /2 polarized in the x\ *2 plane and propagat-
ing in the direction of e n .

(c) a longitudinal wave of amplitude £3 wavelength /3 propagating in the direction of e n

Solution. Using the results of Example 5.9.3, we have, (a)
e n = smajCj - cosa^, x-e n =xisinai -j^cosaj, e f = ±(cosai<ei + sina^2) (0

Thus,

e
e =
m<
e
e ;, 2 = sin «2 i "*" cos a e x e x sma: + X 2 cos«2» / 2 ±(cos«2 ei - sin«2 2) ( )
2 2' ' « 2 ~ i
2

Fig. 5.4

(c)