## Abstract

A broadband-corrected optical telescope has been constructed from a photon sieve with five
million holes. Through careful optimization of hole size, this “antihole” sieve has holes
centered on the dark underlying Fresnel zones. The diffraction-limited performance of a
1 m focal-length,
f/10 element is demonstrated with a view toward constructing large
lightweight telescopes for space applications.

© 2007 Optical Society of America

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### Equations (45)

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(2)
>20\text{\hspace{0.17em} m}
(4)
$${{r}_{n}}^{2}=2nf\lambda +{n}^{2}{\lambda}^{2}\mathrm{.}$$
(6)
$$w=\frac{\lambda f}{2{r}_{n}}\mathrm{.}$$
(8)
$$F\propto \frac{d}{w}\text{\hspace{0.17em}}{J}_{1}\left(\frac{\pi d}{2w}\right),$$
(13)
532.1\text{\hspace{0.17em} nm}
(15)
331\text{\hspace{0.17em}}\mu \text{m}
(16)
20\text{\hspace{0.17em} mm}
(18)
125\text{\hspace{0.17em} mm}
(19)
2.4\text{\hspace{0.17em} mm}
(20)
\left(\lambda =532.1\text{\hspace{0.17em} nm}\right)
(21)
f=715\text{\hspace{0.17em} mm}
(22)
D=150\text{\hspace{0.17em} mm}
(23)
12.8\text{\hspace{0.17em}}\mu \text{m}
(24)
13\text{\hspace{0.17em}}\mu \text{m}
(27)
532.1\text{\hspace{0.17em} nm}
(28)
$$\frac{\Delta f}{f}=\frac{\Delta \lambda}{\lambda}.$$
(29)
$$\Delta \lambda \approx \frac{2{\lambda}^{2}f}{{D}^{2}}$$
(30)
0.06\text{\hspace{0.17em} nm}
(31)
40\text{\hspace{0.17em} mm}
(32)
\left(f=-158.5\text{\hspace{0.17em} mm}\right)
(33)
400\text{\hspace{0.17em} mm}
(34)
200\text{\hspace{0.17em} mm}
(35)
f=734\text{\hspace{0.17em} mm}
(36)
807.7\text{\hspace{0.17em} mm}
(38)
40\text{\hspace{0.17em} nm}
(39)
\left(\lambda =522\u2013562\text{\hspace{0.17em} nm}\right)
(40)
543.4\text{\hspace{0.17em} nm}
(41)
532.1\text{\hspace{0.17em} nm}
(42)
40\text{\hspace{0.17em} nm}
(43)
20\text{\hspace{0.17em} mm}
(44)
543.4\text{\hspace{0.17em} nm}
(45)
532.1\text{\hspace{0.17em} nm}