• Photonics Research
  • Vol. 13, Issue 2, 373 (2025)
Shujun Zheng1,†, Jiaren Tan2,†, Xianmiao Xu1, Hongjie Liu1..., Yi Yang3, Xiao Lin3 and Xiaodi Tan3,*|Show fewer author(s)
Author Affiliations
  • 1Information Photonics Research Center, College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou 350117, China
  • 2Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
  • 3College of Photonic and Electronic Engineering, Key Laboratory of Opto-Electronic Science and for Medicine of Ministry of Education, Fujian Provincial Key Laboratory of Photonics Technology, Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou 350117, China
  • show less
    DOI: 10.1364/PRJ.540120 Cite this Article Set citation alerts
    Shujun Zheng, Jiaren Tan, Xianmiao Xu, Hongjie Liu, Yi Yang, Xiao Lin, Xiaodi Tan, "Optical polarized orthogonal matrix," Photonics Res. 13, 373 (2025) Copy Citation Text show less

    Abstract

    Multiplexing technology serves as an effective approach to increase both information storage and transmission capability. However, when exploring multiplexing methods across various dimensions, the polarization dimension encounters limitations stemming from the finite orthogonal combinations. Given that only two mutually orthogonal polarizations are identifiable on the basic Poincaré sphere, this poses a hindrance to polarization modulation. To overcome this challenge, we propose a construction method for the optical polarized orthogonal matrix (OPOM), which is not constrained by the number of orthogonal combinations. Furthermore, we experimentally validate its application in high-dimensional multiplexing of polarization holography. We explore polarization holography technology, capable of recording amplitude, phase, and polarization, for the purpose of recording and selective reconstruction of polarization multi-channels. Our research reveals that, despite identical polarization states, multiple images can be independently manipulated within distinct polarization channels through orthogonal polarization combinations, owing to the orthogonal selectivity among information. By selecting the desired combination of input polarization states, the reconstructed image can be switched with negligible crosstalk. This non-square matrix composed of polarization unit vectors provides prospects for multi-channel information retrieval and dynamic display, with potential applications in optical communication, optical storage, logic devices, anti-counterfeiting, and optical encryption.
    s=[01],p=[10].

    View in Article

    O2×2=[O11O12O21O22],

    View in Article

    O2×2O2×2T=nE2×2,

    View in Article

    [O112+O122O11O21+O12O22O11O21+O12O22O212+O222]=n[1001].

    View in Article

    O112+O122=O212+O2220,

    View in Article

    O11O21+O12O22=0.

    View in Article

    s·p=0,p·s=0,s·(p)=0,p·(s)=0,s·s=1,p·p=1,s·(s)=1,p·(p)=1,

    View in Article

    O11O21=O12O22=0,

    View in Article

    O11O21=O12O22=±1.

    View in Article

    O1=[O11O21],O2=[O12O22],O1=O2=[sp]or[ps]or[sp]or[ps].

    View in Article

    R(O2×2)=2.

    View in Article

    O2×2=[O1O2]=[spps]or[sspp]or[spps]or[pssp]or[spps]or[ppss].

    View in Article

    OPOM2×4=[spsppsps].

    View in Article

    OPOM2×4=[s+psps+pspsps+ps+psp].

    View in Article

    OPOM2m×4m=OPOM2×4Hm×m,

    View in Article

    Hm×m=H2×2Hm2×m2,H2×2=[1111].

    View in Article

    OPOM4×8=[spspspsppspspspsspspspsppspspsps].

    View in Article