|
(128)
|
and those will follow the incident oscillations in all points of the marginal surface, when the coefficient of z is the same as in formula (126).
Therefore we have
![{\displaystyle \sin \beta =\left(W-{\mathfrak {p}}_{z}\sin \beta {\frac {W^{2}}{V^{2}}}\right)\left({\frac {\sin \alpha }{V}}+{\frac {{\mathfrak {p}}_{z}}{V^{2}}}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2abe1d84e6c530740390643989890a7aa89e4ca8)
,
or we denote the refraction angle in the stationary plate by
, so that
![{\displaystyle \sin \beta _{0}={\frac {W}{V}}\sin \alpha }](https://wikimedia.org/api/rest_v1/media/math/render/svg/a8339d947af360780a7a7bc4316c88fc14d22289)
![{\displaystyle \sin \beta =\sin \beta _{0}+{\frac {W{\mathfrak {p}}_{z}}{V^{2}}}\cos ^{2}\beta _{0}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/67c7a201fb9f142d06fd9415532283cfafc66a88)
.
From that it follows
|
(129)
|
However, for the factor which we above have called
, the value is given by (128)
![{\displaystyle -{\frac {\cos \beta }{W'}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fc93490959fdb4b58950bde00d6f19a94e13ce20)
,
and this one, in consequence of (127) and (129), actually is independent of the translation.