Linearpolarization

Mendoza-Yero, O., Mínguez-Vega, G. & Lancis, J. Encoding complex fields by using a phase-only optical element. Opt. Lett. 39, 1740–1743 (2014).

Polarizationexamples

Li, P. et al. Generation and self-healing of vector bessel-gauss beams with variant state of polarizations upon propagation. Opt. Express 25, 5821–5831 (2017).

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Arbabi, A., Horie, Y., Bagheri, M. & Faraon, A. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotechnol. 10, 937–943 (2015).

Circularpolarization

A.H.D. and N.A.R. developed the theoretical framework and fabricated the devices. A.Z. helped formulate the dual matrix holography theory. A.H.D. designed and measured the devices and analysed the data. M.T. contributed to the fabrication and characterization of the devices. A.H.D., N.A.R. and F.C. wrote the manuscript. F.C. supervised the project.

Shi, Z. et al. Continuous angle-tunable birefringence with freeform metasurfaces for arbitrary polarization conversion. Sci. Adv. 6, eaba3367 (2020).

Li, P. et al. Three-dimensional modulations on the states of polarization of light fields. Chin. Phys. B 27, 114201 (2018).

Nature Photonics thanks Philippe St-Jean and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Xie, X., Chen, Y., Yang, K. & Zhou, J. Harnessing the point-spread function for high-resolution far-field optical microscopy. Phys. Rev. Lett. 113, 263901 (2014).

XGEV Flyer 398.18KB Download XGEV is a family of cameras with new Sony Pregius CMOS global shutter image sensors and brand new NBASE-T™ (1G, 2.5G, 5G) Ethernet connectivity. NBASE-T™ 5G has bandwidth of 500MB/s of uncompressed image data over a standard Ethernet twisted pair Cat5e cable up to 100m. Sony Pregius CMOS sensors have higher sensitivity and higher signal to noise ratio. Very low fixed pattern noise and high saturation signal for crystal clear images also in a low light conditions. High resolution and high bandwidth connectivity are beneficial for detecting small features in a scene. Increased number of pixels lowers detection errors and false readings. Full frame global shutter captures fast moving objects without time delay artifacts.   XGEV Family Models ModelImage sensorResolution (WxH)Optical sizePixel size [μm]Frame rate [FPS]XGEV1920FM/CSony IMX174 M/C2.3M, 1920 x 12001/1.2”5.86 x 5.86164XGEV2060FM/CSony IMX252 M/C3.2M, 2064 x 15441/1.8”3.45 x 3.45156XGEV2061SM/CSony IMX265 M/C3.2M, 2064 x 15441/1.8”3.45 x 3.4555XGEV2460FM/CSony IMX250 M/C5.0M, 2464 x 20562/3”3.45 x 3.45100XGEV2461SM/CSony IMX264 M/C5.0M, 2464 x 20562/3”3.45 x 3.4536XGEV4110FM/CSony IMX255 M/C8.9M, 4112 x 21761”3.45 x 3.4556XGEV4111SM/CSony IMX267 M/C8.9M, 4112 x 21761”3.45 x 3.4532XGEV4010FM/CSony IMX253 M/C12M, 4016 x 30081.1”3.45 x 3.4541XGEV4011SCSony IMX304 C12M, 4016 x 30081.1”3.45 x 3.4523   I/O Interfaces Ethernet 1x NBase-T Ethernet, 1G, 2.5G, 5G, RJ45 with screw locksDigital inputs 2x Inputs, Opto-coupledDigital outputs 4x Outputs, Opto-coupledSerial 1x RS232, (Tx, Rx only)   General Housing Hard anodized aluminumDimensions 54.4 x 40.0 x 68.1 mm (W x H x L)Power12 – 24V DC, consumption < 7WLens mountC-Mount, optional CS-MountCompliance CE, FCC, RoHS, GigE Vision, GenICam

Corato-Zanarella, M., Dorrah, A. H., Zamboni-Rached, M. & Mojahedi, M. Arbitrary control of polarization and intensity profiles of diffraction-attenuation-resistant beams along the propagation direction. Phys. Rev. Appl. 9, 024013 (2018).

Davis, J. A. et al. Diffraction gratings generating orders with selective states of polarization. Opt. Express 24, 907–917 (2016).

Holliman, N. S., Dodgson, N. A., Favalora, G. E. & Pockett, L. Three-dimensional displays: a review and applications analysis. IEEE Trans. Broadcast. 57, 362–371 (2011).

Moreno, I., Davis, J. A., Sánchez-López, M. M., Badham, K. & Cottrell, D. M. Nondiffracting bessel beams with polarization state that varies with propagation distance. Opt. Lett. 40, 5451–5454 (2015).

Santhosh, K., Bitton, O., Chuntonov, L. & Haran, G. Vacuum Rabi splitting in a plasmonic cavity at the single quantum emitter limit. Nat. Commun. 7, 11823 (2016).

Balthasar Mueller, J. P., Rubin, N. A., Devlin, R. C., Groever, B. & Capasso, F. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys. Rev. Lett. 118, 113901 (2017).

Bryant, D. M. & Mostov, K. E. From cells to organs: building polarized tissue. Nat. Rev. Mol. Cell Biol. 9, 887–901 (2008).

s-polarization vs ppolarization

Otte, E., Rosales-Guzmán, C., Ndagano, B., Denz, C. & Forbes, A. Entanglement beating in free space through spin–orbit coupling. Light Sci. Appl. 7, 18009 (2018).

Nieminen, T. A., Heckenberg, N. R. & Rubinsztein-Dunlop, H. Forces in optical tweezers with radially and azimuthally polarized trapping beams. Opt. Lett. 33, 122–124 (2008).

Zhu, A. Y. et al. Giant intrinsic chiro-optical activity in planar dielectric nanostructures. Light Sci. Appl. 7, 17158–17158 (2018).

Chen, R.-P., Chen, Z., Gao, Y., Ding, J. & He, S. Flexible manipulation of the polarization conversions in a structured vector field in free space. Laser Photon. Rev. 11, 1700165 (2017).

Polarization plays a key role in science; hence its versatile manipulation is crucial. Existing polarization optics, however, can only manipulate polarization in a single transverse plane. Here we demonstrate a new class of polarizers and wave plates—based on metasurfaces—that can impart an arbitrarily chosen polarization response along the propagation direction, regardless of the incident polarization. The underlying mechanism relies on transforming an incident waveform into an ensemble of pencil-like beams with different polarization states that beat along the optical axis thereby changing the resulting polarization at will, locally, as light propagates. Remarkably, using form-birefringent metasurfaces in combination with matrix-based holography enables the desired propagation-dependent polarization response to be enacted without a priori knowledge of the incident polarization—a behaviour that would require three polarization-sensitive holograms if implemented otherwise. Our work expands the use of polarization in the design of multifunctional metasurfaces and may find application in tunable structured light, optically switchable devices and versatile light–matter interactions.

Ling, X. et al. Giant photonic spin hall effect in momentum space in a structured metamaterial with spatially varying birefringence. Light Sci. Appl. 4, e290 (2015).

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Polarizationof electromagnetic waves pdf

XGEV is a family of cameras with new Sony Pregius CMOS global shutter image sensors and brand new NBASE-T™ (1G, 2.5G, 5G) Ethernet connectivity. NBASE-T™ 5G has bandwidth of 500MB/s of uncompressed image data over a standard Ethernet twisted pair Cat5e cable up to 100m. Sony Pregius CMOS sensors have higher sensitivity and higher signal to noise ratio.

Tyo, J. S., Goldstein, D. L., Chenault, D. B. & Shaw, J. A. Review of passive imaging polarimetry for remote sensing applications. Appl. Opt. 45, 5453–5469 (2006).

Bomzon, Z., Biener, G., Kleiner, V. & Hasman, E. Space-variant pancharatnam–berry phase optical elements with computer-generated subwavelength gratings. Opt. Lett. 27, 1141–1143 (2002).

Hu, Q., Dai, Y., He, C. & Booth, M. J. Arbitrary vectorial state conversion using liquid crystal spatial light modulators. Opt. Commun. 459, 125028 (2020).

Hnatovsky, C., Shvedov, V. G., Shostka, N., Rode, A. V. & Krolikowski, W. Polarization-dependent ablation of silicon using tightly focused femtosecond laser vortex pulses. Opt. Lett. 37, 226–228 (2012).

Shvedov, V., Davoyan, A. R., Hnatovsky, C., Engheta, N. & Krolikowski, W. A long-range polarization-controlled optical tractor beam. Nat. Photon. 8, 846–850 (2014).

XGEV is a family of cameras with new Sony Pregius CMOS global shutter image sensors and brand new NBASE-T™ (1G, 2.5G, 5G) Ethernet connectivity. NBASE-T™ 5G has bandwidth of 500MB/s of uncompressed image data over a standard Ethernet twisted pair Cat5e cable up to 100m. Sony Pregius CMOS sensors have higher sensitivity and higher signal to noise ratio. Very low fixed pattern noise and high saturation signal for crystal clear images also in a low light conditions. High resolution and high bandwidth connectivity are beneficial for detecting small features in a scene. Increased number of pixels lowers detection errors and false readings. Full frame global shutter captures fast moving objects without time delay artifacts.

Dorrah, A.H., Rubin, N.A., Zaidi, A. et al. Metasurface optics for on-demand polarization transformations along the optical path. Nat. Photonics 15, 287–296 (2021). https://doi.org/10.1038/s41566-020-00750-2

Naidoo, D. et al. Controlled generation of higher-order poincaré sphere beams from a laser. Nat. Photon. 10, 327–332 (2016).

Intaravanne, Y. & Chen, X. Recent advances in optical metasurfaces for polarization detection and engineered polarization profiles. Nanophotonics 9, 0479 (2020).

Linearly polarized light

Polarization opticsreview

Milione, G., Nguyen, T. A., Leach, J., Nolan, D. A. & Alfano, R. R. Using the nonseparability of vector beams to encode information for optical communication. Opt. Lett. 40, 4887–4890 (2015).

The codes and simulation files that support the plots and data analysis within this paper are available from the corresponding author on reasonable request.

Kruk, S. et al. Invited article: broadband highly efficient dielectric metadevices for polarization control. APL Photon. 1, 030801 (2016).

Ellipticalpolarization

Rubin, N. A. et al. Matrix fourier optics enables a compact full-stokes polarization camera. Science 365, eaax1839 (2019).

Fatemi, F. K. Cylindrical vector beams for rapid polarization-dependent measurements in atomic systems. Opt. Express 19, 25143–25150 (2011).

Zamboni-Rached, M. Stationary optical wave fields with arbitrary longitudinal shape by superposing equal frequency bessel beams: frozen waves. Optics Express 12, 4001–4006 (2004).

Rubin, N. A. et al. Polarization state generation and measurement with a single metasurface. Opt. Express 26, 21455–21478 (2018).

All key data generated and analysed are included in this paper and its Supplementary Information. Additional datasets that support the plots within this paper and other findings of this study are available from the corresponding author on reasonable request.

Jones, R. C. A new calculus for the treatment of optical systems. I. Description and discussion of the calculus. J. Opt. Soc. Am. 31, 488–493 (1941).

Sony IMX174 M/C, Sony IMX250 M/C, Sony IMX252 M/C, Sony IMX253 M/C, Sony IMX255 M/C, Sony IMX264 M/C, Sony IMX265 M/C, Sony IMX267 M/C, Sony IMX304 C

Devlin, R. C., Khorasaninejad, M., Chen, W. T., Oh, J. & Capasso, F. Broadband high-efficiency dielectric metasurfaces for the visible spectrum. Proc. Natl Acad. Sci. USA 113, 10473–10478 (2016).

We thank W.-T. Chen and X. Yin, both of Harvard University, for their helpful discussions. A.H.D. acknowledges the financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC) under grant no. PDF-533013-2019. N.A.R. acknowledges support from the National Science Foundation Graduate Research Fellowship Program (GRFP) under grant no. DGE1144152. This work was performed in part at the Center for Nanoscale Systems (CNS), a member of the National Nanotechnology Coordinated Infrastructure (NNCI), which is supported by the National Science Foundation under NSF award no. 1541959. CNS is part of Harvard University. Additionally, financial support from the Office of Naval Research (ONR) MURI program, under grant no. N00014-20-1-2450, and from the Air Force Office of Scientific Research (AFOSR), grant no. FA95550-19-1-0135, is acknowledged.