me up with a slightly more complicated version:
</p>

<!-- LATEX e^{(\frac{B}{2}(r-\frac{1}{r})\cos \omega_{m}t)}\sin(\omega_{c}t+\frac{B}{2}(r+\frac{1}{r})\sin \omega_{m}t)=\sum r^{n}J_{n}(B)\sin(\omega_{c}t+n\omega_{m}t) -->

<img class="indented" src="pix/fmeq29.png" alt="e sin">


<p>But the peak amplitude of this formula is hard to predict; we'd rather have a sum of cosines:
</p>

<!--LATEX: e^{(\frac{B}{2}(r-\frac{1}{r})\cos \omega_{m}t)}\cos(\omega_{c}t+\frac{B}{2}(r+\frac{1}{r})\sin \omega_{m}t)=\su