Page:Elektrische und Optische Erscheinungen (Lorentz) 138.jpg



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

$$\sin\beta=\left(W-\mathfrak{p}_{z}\sin\beta\frac{W^{2}}{V^{2}}\right)\left(\frac{\sin\alpha}{V}+\frac{\mathfrak{p}_{z}}{V^{2}}\right)$$,

or we denote the refraction angle in the stationary plate by $$\beta_0$$, so that

$$\sin\beta_{0}=\frac{W}{V}\sin\alpha$$

$$\sin\beta=\sin\beta_{0}+\frac{W\mathfrak{p}_{z}}{V^{2}}\cos^{2}\beta_{0}$$.

From that it follows

However, for the factor which we above have called $$m_2$$, the value is given by (128)

$$-\frac{\cos\beta}{W'}$$,

and this one, in consequence of (127) and (129), actually is independent of the translation.