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Ellipticity angle for left eye view versus wavelength and incidence angle along vertical azimuth. 

Ellipticity angle for left eye view versus wavelength and incidence angle along vertical azimuth. 

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In this paper we apply viewing angle and imaging polarimetry to characterize a polarization based stereoscopic 3D display. Viewing angle multispectral polarization analysis is first performed using a Fourier optics instrument. A vertical polarization modulation is observed and explained. Main imperfections come from a polarization degree that reach...

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Context 1
... 3D displays have the same intrinsic method to provide 3D perception: the main idea is always to provide two different images in the left and right eye of the observer to create the depth perception. The two most common solutions are auto-stereoscopic 3D displays and polarization based 3D displays. Up to now few studies have been devoted to the optical characterization of such displays. Recently we have proposed a characterization method for auto-stereoscopic 3D displays based on ultrahigh angular resolution Fourier optics measurement and computation in the observer space [1-3]. We have also been interested in polarization based 3D displays and we have used our viewing angle measurement instruments to characterize such displays [4-8]. A common approach has been proposed to analyze both types of display computing the same types of parameters and in particular the 3D contrast [4]. We are more interested here in understanding the main artifacts of a polarization based stereoscopic 3D display both versus angle and in terms of homogeneity. In depth analysis with viewing angle multispectral instrument allows analyzing the origin of the troubles. Imaging polarization is also used to verify the predictions of viewing angle instrument in terms of 3D contrast and best observer location positions. In addition, “polarization Mura” defects related to the phase difference films are observed. We use the Fourier optics instrument EZContrastMS that provides the full viewing angle cone in one measurement rapidly and accurately. Radiance full viewing angle patterns at different wavelengths using 31 band-pass filters from 400nm to 700nm every 10nm are obtained. The system includes also three polarizers at different orientations (0, 45 and 90°) and two wave- plates at different orientations (45 and 135°). Seven measurements with the various polarization configurations are made automatically for each band-pass filter from which the Stokes vectors are derived for each incidence angle, azimuth angle and wavelength. Multispectral viewing angle polarization measurements have been performed for right view ON and left view OFF and the opposite on our polarization based 3D display. On the viewing angle pattern measured at 549nm (cf. figure 1), we notice a vertical modulation of the ellipticity and of the polarization degree. This vertical modulation is due to a perspective effect induced by the location of the retarder film with regards to the liquid crystal cell. In this display, the film is located on the display top surface (cf. figure 2). The thickness of the top glass modulates the polarization of one view along vertical from right circular state to left circular state. So only one restricted part of the space in front the display is available for correct 3D perception. It is of course possible to suppress this modulation by including the phase difference film directly inside the liquid crystal cell structure. The vertical modulation of the polarization restricts the space in front of the display from which stereoscopic images are seen correctly. For the best working distance it is then necessary to adjust the light emission of the display to ensure that each region of the display will be seen correctly from the same location. In the display under investigation a slight vertical shift of the region circularly polarized is applied from the top to the bottom of the display. The polarization state varies strongly with wavelength. In particular, the polarization degree does not exceed ~90% even at the best angles and the best wavelength (cf. figure 3). This is especially important since the unpolarized component cannot be stopped by the circular polarizers included in the glasses and the 3D contrast will be therefore strongly reduced. Another source of imperfection is the ellipticity which never reaches its best value (circular state at ±45°)(cf. figure 4). It is in addition extremely dependent of the wavelength as reported in figure 4. The polarization state is nearly circular at 530nm but drop down rapidly in the blue and red regions. This is due to the phase shift behavior in 1/ λ of a simple single layer retarder sheet. It can be improved using a more complex stack of birefrigent layers but increases once again the complexity of the display structure. The two views are also not completely symmetric. The degree of polarization of the light at the working incidence angle (~9°) is slightly better for right eye than for left eye. The origin of the effect is probably due to the phase difference film quality. Microretarder films are generally made from two homogeneous retardation films with a uniform half wave phase retardation state. Through laser exposure or thermal printing, the original stretching direction of one film become random and its polarization state changed from half wave to zero but parasitic diffusion is also occurring. Luminance viewing angle measurements are also performed with an ELDIM EZContrastXL88 Fourier optics instrument including left and right eyes filter glasses (GL and GR). Because of the vertical polarization modulation, three locations are measured on the display surface (center, top center, bottom center). In each case and for each filter four measurements are realized: left view ON and right view OFF (LWRK), left view OFF and right view ON (LKRW), left and right views ON (LWRW) and left and right views OFF (LKRK). The stereoscopic quality of the 3D display for an observer is directly related to the capacity to see clearly the correct images in his right and left eyes. In case of stereoscopic displays, the two contrasts associated to each eye must be calculated using the two sets of measurements obtained with GL and GR filters. We use the following equations: ( θ R , φ R ) and ( θ L , φ L ) are the right and left eye positions in polar coordinates with regards to the measurement location. Y GLKLRW and Y GRKLRW are the luminance for white view on right eye and black view on left eye using GL and GR filters respectively. Y GLLWRK and Y GRLWRK are the luminances for black view on right eye and white view on left eye using GL and GR filters respectively. Y GLRKLK and Y GRRKLK are the luminance for black view on both eyes. It is then possible to combine the two contrasts to get a combined contrast for the observer using: We take the product and not the sum because a good 3D quality requires a good contrast for left and right eyes simultaneously. The square maintains the dimensionally of the quantity as a contrast. These calculations are very similar to those applied to auto-stereoscopic 3D displays but each contrast is obtained separately using the two GL and GR filters [1-3]. When different locations are analyzed simultaneously, the different contrasts for each eye are calculated, and the minimum value of these contrasts for the different locations is taken using the previous equation and: M is the number of measurement locations. 3D Contrast is calculated in the same way as previously. Angular contrasts for central location are reported in figure 5. These diagrams show sharp emissive horizontal bands at an angle around 9° to the top. The maximum of contrast is around 13 for right eye and 9 for left eye. These values are low compared to those generally measured on auto-stereoscopic 3D displays. In addition the contrast is not symmetric and clearly worse on one eye than on the other in agreement with the multispectral measurements reported previously. The 3D contrast has been calculated using 3 measurement locations for a given volume in front of the display (1000x1000x2000mm in figure 6). The Qualified Binocular Viewing Space (QBVS) is composed of one horizontal flat volume titled by about 9° vertically as shown in the cross section along vertical plane. The best working distance is around 650mm as expected for a 19’ computer display. Viewing angle measurements are useful to compute the 3D and standard properties of a display at given locations on its surface. They cannot be used to detect local fluctuations of the light emission on the display surface. To study these inhomogeneities we use a video-colorimeter UMaster that is also capable to measure the polarization state of light at some wavelengths. UMaster includes three polarizers at different orientations (0, 45 and 90°) and two wave-plates at different orientation (45 and 135°). The system makes automatically seven measurements with different polarization configurations and computes the polarization parameters and the Stokes vectors. The wavelength is defined by a band pass filter (550nm in the following measurements). Imaging polarization is made for left view ON and right view OFF and the opposite. One measurement for left and right eye view is reported in figure 7. UMaster is located at 102cm from the display surface to measure the entire display surface and about 9° from the normal incidence. The light polarization state is nearly circular ...
Context 2
... 3D displays have the same intrinsic method to provide 3D perception: the main idea is always to provide two different images in the left and right eye of the observer to create the depth perception. The two most common solutions are auto-stereoscopic 3D displays and polarization based 3D displays. Up to now few studies have been devoted to the optical characterization of such displays. Recently we have proposed a characterization method for auto-stereoscopic 3D displays based on ultrahigh angular resolution Fourier optics measurement and computation in the observer space [1-3]. We have also been interested in polarization based 3D displays and we have used our viewing angle measurement instruments to characterize such displays [4-8]. A common approach has been proposed to analyze both types of display computing the same types of parameters and in particular the 3D contrast [4]. We are more interested here in understanding the main artifacts of a polarization based stereoscopic 3D display both versus angle and in terms of homogeneity. In depth analysis with viewing angle multispectral instrument allows analyzing the origin of the troubles. Imaging polarization is also used to verify the predictions of viewing angle instrument in terms of 3D contrast and best observer location positions. In addition, “polarization Mura” defects related to the phase difference films are observed. We use the Fourier optics instrument EZContrastMS that provides the full viewing angle cone in one measurement rapidly and accurately. Radiance full viewing angle patterns at different wavelengths using 31 band-pass filters from 400nm to 700nm every 10nm are obtained. The system includes also three polarizers at different orientations (0, 45 and 90°) and two wave- plates at different orientations (45 and 135°). Seven measurements with the various polarization configurations are made automatically for each band-pass filter from which the Stokes vectors are derived for each incidence angle, azimuth angle and wavelength. Multispectral viewing angle polarization measurements have been performed for right view ON and left view OFF and the opposite on our polarization based 3D display. On the viewing angle pattern measured at 549nm (cf. figure 1), we notice a vertical modulation of the ellipticity and of the polarization degree. This vertical modulation is due to a perspective effect induced by the location of the retarder film with regards to the liquid crystal cell. In this display, the film is located on the display top surface (cf. figure 2). The thickness of the top glass modulates the polarization of one view along vertical from right circular state to left circular state. So only one restricted part of the space in front the display is available for correct 3D perception. It is of course possible to suppress this modulation by including the phase difference film directly inside the liquid crystal cell structure. The vertical modulation of the polarization restricts the space in front of the display from which stereoscopic images are seen correctly. For the best working distance it is then necessary to adjust the light emission of the display to ensure that each region of the display will be seen correctly from the same location. In the display under investigation a slight vertical shift of the region circularly polarized is applied from the top to the bottom of the display. The polarization state varies strongly with wavelength. In particular, the polarization degree does not exceed ~90% even at the best angles and the best wavelength (cf. figure 3). This is especially important since the unpolarized component cannot be stopped by the circular polarizers included in the glasses and the 3D contrast will be therefore strongly reduced. Another source of imperfection is the ellipticity which never reaches its best value (circular state at ±45°)(cf. figure 4). It is in addition extremely dependent of the wavelength as reported in figure 4. The polarization state is nearly circular at 530nm but drop down rapidly in the blue and red regions. This is due to the phase shift behavior in 1/ λ of a simple single layer retarder sheet. It can be improved using a more complex stack of birefrigent layers but increases once again the complexity of the display structure. The two views are also not completely symmetric. The degree of polarization of the light at the working incidence angle (~9°) is slightly better for right eye than for left eye. The origin of the effect is probably due to the phase difference film quality. Microretarder films are generally made from two homogeneous retardation films with a uniform half wave phase retardation state. Through laser exposure or thermal printing, the original stretching direction of one film become random and its polarization state changed from half wave to zero but parasitic diffusion is also occurring. Luminance viewing angle measurements are also performed with an ELDIM EZContrastXL88 Fourier optics instrument including left and right eyes filter glasses (GL and GR). Because of the vertical polarization modulation, three locations are measured on the display surface (center, top center, bottom center). In each case and for each filter four measurements are realized: left view ON and right view OFF (LWRK), left view OFF and right view ON (LKRW), left and right views ON (LWRW) and left and right views OFF (LKRK). The stereoscopic quality of the 3D display for an observer is directly related to the capacity to see clearly the correct images in his right and left eyes. In case of stereoscopic displays, the two contrasts associated to each eye must be calculated using the two sets of measurements obtained with GL and GR filters. We use the following equations: ( θ R , φ R ) and ( θ L , φ L ) are the right and left eye positions in polar coordinates with regards to the measurement location. Y GLKLRW and Y GRKLRW are the luminance for white view on right eye and black view on left eye using GL and GR filters respectively. Y GLLWRK and Y GRLWRK are the luminances for black view on right eye and white view on left eye using GL and GR filters respectively. Y GLRKLK and Y GRRKLK are the luminance for black view on both eyes. It is then possible to combine the two contrasts to get a combined contrast for the observer using: We take the product and not the sum because a good 3D quality requires a good contrast for left and right eyes simultaneously. The square maintains the dimensionally of the quantity as a contrast. These calculations are very similar to those applied to auto-stereoscopic 3D displays but each contrast is obtained separately using the two GL and GR filters [1-3]. When different locations are analyzed simultaneously, the different contrasts for each eye are calculated, and the minimum value of these contrasts for the different locations is taken using the previous equation and: M is the number of measurement locations. 3D Contrast is calculated in the same way as previously. Angular contrasts for central location are reported in figure 5. These diagrams show sharp emissive horizontal bands at an angle around 9° to the top. The maximum of contrast is around 13 for right eye and 9 for left eye. These values are low compared to those generally measured on auto-stereoscopic 3D displays. In addition the contrast is not symmetric and clearly worse on one eye than on the other in agreement with the multispectral measurements reported previously. The 3D contrast has been calculated using 3 measurement locations for a given volume in front of the display (1000x1000x2000mm in figure 6). The Qualified Binocular Viewing Space (QBVS) is composed of one horizontal flat volume titled by about 9° vertically as shown in the cross section along vertical plane. The best working distance is around 650mm as expected for a 19’ computer display. Viewing angle measurements are useful to compute the 3D and standard properties of a display at given locations on its surface. They cannot be used to detect local fluctuations of the light emission on the display surface. To study these inhomogeneities we use a video-colorimeter UMaster that is also capable to measure the polarization state of light at some wavelengths. UMaster includes three polarizers at different orientations (0, 45 and 90°) and two wave-plates at different orientation (45 and 135°). The system makes automatically seven measurements with different polarization configurations and computes the polarization parameters and the Stokes vectors. The wavelength is defined by a band pass filter (550nm in the following measurements). Imaging polarization is made for left view ON and right view OFF and the opposite. One measurement for left and right eye view is reported in figure 7. UMaster is located at 102cm from the display surface to measure the entire display surface and ...

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