## Abstract

We propose a design for an optical resonator suited to using large-bore active media. The resonator consists of a pair of waxicons, so we call it a “wwaxicon optical resonator.” The resonator is considered a conventional (solid) resonator surrounded by coaxial annular resonators. A numerical simulation of the resonator designed for use in a commercial ${\mathrm{CO}}_{2}$ laser is performed. It is found that parasitic oscillation modes can be suppressed by the use of an spatial-frequency filter. The resonator exhibits oscillation in the ${\mathrm{TEM}}_{01}^{*}$ transverse mode and produces twice as much output power as a sevenfold multipass stable optical resonator.

© 2012 Optical Society of America

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### Equations (5)

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(1)
$${E}_{0l}(r,\varphi )\propto \frac{1}{\sqrt{r}}\text{\hspace{0.17em}}\mathrm{exp}[-\frac{{(r-{r}_{0})}^{2}}{{w}_{0}^{2}}]\mathrm{exp}[\pm il\varphi ],$$
(2)
$${E}_{pl}(r,\varphi )\propto {\left[\frac{\sqrt{2}r}{{w}_{0}}\right]}^{|l|}{L}_{p}^{|l|}\left[\frac{2{r}^{2}}{{w}_{0}^{2}}\right]\text{\hspace{0.17em}}\mathrm{exp}[-\frac{{r}^{2}}{{w}_{0}^{2}}]\text{\hspace{0.17em}}\mathrm{exp}[il\varphi ],$$
(3)
$${E}_{2}({r}_{2},{\phi}_{2})=\text{\hspace{0.17em}}\mathrm{exp}(-ik{L}_{cc}){\int}_{r}{\int}_{\phi}{E}_{1}({r}_{1},{\phi}_{1})\sqrt{\frac{{r}_{1}}{{r}_{2}}}\delta ({r}_{1}+{r}_{2}-{L}_{cc})\delta ({\phi}_{2}-{\phi}_{1})\mathrm{d}{r}_{1}\mathrm{d}{\phi}_{1},$$
(4)
$${E}_{0}(x,y)={\psi}_{0}\text{\hspace{0.17em}}\mathrm{exp}[i2\pi \{R(x,y)-1/2)\}],$$
(5)
$$\theta =\frac{4\lambda {M}^{2}}{\pi D},$$