## Abstract

A tilted bilayer membrane, which consists of two thin films of transparent optically isotropic materials of different refractive indices, can function as a transmission quarter-wave retarder (QWR) at a high angle of incidence. A specific design using a cryolite-Si membrane in the infrared is presented, and its tolerances to small shifts of wavelength, incidence angle, and film thickness errors are discussed. Some designs provide a dual QWR in transmission and reflection. Such devices provide simple linear-to-circular (and circular-to-linear) polarization transformers. Bilayer eighth-wave retarders without diattenuation are also introduced.

© 2001 Optical Society of America

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### Equations (10)

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(1)
$${\mathrm{\Delta}}_{tmax}=\mathrm{arctan}\{[N-(1/N)]/2\},$$
(2)
$${\rho}_{t}={T}_{p}/{T}_{s}=(tan{\psi}_{t})exp(j{\mathrm{\Delta}}_{t}).$$
(3)
$${\rho}_{t}=a(1+{\mathit{bX}}_{1}+{\mathit{cX}}_{2}+{\mathit{dX}}_{1}{X}_{2})/(1+{\mathit{eX}}_{1}+{\mathit{fX}}_{2}+{\mathit{gX}}_{1}{X}_{2}),$$
(4)
$$a=({t}_{01p}/{t}_{01s})({t}_{12p}/{t}_{12s})({t}_{20p}/{t}_{20s}),$$
(5)
$$b={r}_{01s}{r}_{12s},\hspace{1em}\hspace{1em}e={r}_{01p}{r}_{12p},$$
(6)
$$c={r}_{12s}{r}_{20s},\hspace{1em}\hspace{1em}f={r}_{12p}{r}_{20p},$$
(7)
$$d={r}_{01s}{r}_{20s},\hspace{1em}\hspace{1em}g={r}_{01p}{r}_{20p}.$$
(8)
$${X}_{i}=exp(-j2\pi {\zeta}_{i}),\hspace{1em}\hspace{1em}i=1,2,$$
(9)
$${\zeta}_{i}={d}_{i}/{D}_{i},\hspace{1em}\hspace{1em}i=1,2,$$
(10)
$${D}_{i}=(\mathrm{\lambda}/2)({{N}_{i}}^{2}-{sin}^{2}\varphi {)}^{-1/2},\hspace{1em}\hspace{1em}i=1,2,$$