A polarizer is used with a liquid crystal display (LCD) cell whose liquid crystal molecules are switched in the plane of the cell. The LCD has birefringent properties that are different from other types of LCD cell and, unlike other types of LCD, the image contrast is maintained and there is little color shift in the dark state when a low birefringence polarizer is used with the SIP LCD cell. In one embodiment, the x-z retardation of the layers between the polarization-sensitive absorbing layer and the LCD is less than 20 nm. In another embodiment, the x-z birefringence is less than 0.0005. The low levels of retardation and birefringence may be achieved by omitting the commonly used cellulose triacetate layer between the polarization-sensitive absorbing layer and the LCD.