diff --git a/autophase.asciidoc b/autophase.asciidoc index 8d64f2a1064cec1cfb96d19bfedeab410a1a9a96..6325a49afb3b303b922e0ca9fbb66e1ed283db19 100644 --- a/autophase.asciidoc +++ b/autophase.asciidoc @@ -32,7 +32,7 @@ to the lag, latexmath:[\varphi] and set the result to zero: [latexmath] ++++ \begin{aligned} -\mathrm{d}{\Delta E(\varphi,r)}{\varphi} &= -\int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi) + \varphi) E_z(z,r)\\ +\frac{\mathrm{d}{\Delta E(\varphi,r)}}{\mathrm{d}{\varphi}} &= -\int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi) + \varphi) E_z(z,r)\\ &= -\cos(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi)) E_z(z,r) dz \\ &-\sin(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \cos(\omega t(z,\varphi)) E_z(z,r) dz \equiv 0. \end{aligned} @@ -281,4 +281,4 @@ Here we also used some trigonometric identities: \end{aligned} ++++ -// EOF \ No newline at end of file +// EOF