Log in

Efficiency uniformity improvement of gratings for head-up display waveguide using multilayer perceptron network

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this work, we proposed a grating optimization method for waveguide type head-up display based on the multilayer perceptron network classification, which achieves rapid prediction and optimization of an interlayer grating structure. Compared with existing grating structures, the optimized grating has a coupling efficiency of 73% at wavelengths of 450 nm, 532 nm, and 637 nm simultaneously. The uniformity of diffractive efficiency can reach 0.84 within the 400–650 nm range, ultimately achieving color uniformity within a single-layer waveguide over a 15° field of view angle range. This method also provides ideas for optimizing other types of grating waveguide structures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig.8

Similar content being viewed by others

References

  • Brand, O., Wolftson, B., Malka, D.: A compact polarization MMI combiner using silicon slot-waveguide structures. Micromachines 14(6), 1203 (2023)

    Article  PubMed  PubMed Central  Google Scholar 

  • Buettner, R., Breitenbach, J., Wannenwetsch, K., Ostermann, I. and Priel, R.: A systematic literature review of virtual and augmented reality applications for maintenance in manufacturing. In: 2022 IEEE 46th Annual Computers, Software, and Applications Conference (COMPSAC), pp. 545–552. (2022)

  • Chen, C.P., Mi, L., Zhang, W., Ye, J., Li, G.: Waveguide-based near-eye display with dual-channel exit pupil expander. Displays 67, 101998 (2021)

    Article  CAS  Google Scholar 

  • Cheng, D., Wang, Y., Xu, C., Song, W., **, G.: Design of an ultra-thin near-eye display with geometrical waveguide and freeform optics. Opt. Express 22, 20705–20719 (2014)

    Article  ADS  PubMed  Google Scholar 

  • Drazic, V., Shramkova, O., Varghese, B., Blondé, L. and Allié, V.: Edge wave enabled diffractive optical elements for augmented reality glasses. In: Optical Architectures for Displays and Sensing in Augmented, Virtual, and Mixed Reality (AR, VR, MR) II. (2021)

  • Frishman, A., Malka, D.: An optical 1× 4 power splitter based on silicon-nitride MMI using strip waveguide structures. Nanomaterials 13(14), 2077 (2023)

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Homan, M.: The use of optical waveguides in head up display (HUD) applications. Proc. of SPIE 8736, 1–14 (2013)

    ADS  Google Scholar 

  • Huang, J., Zhang, E., Yuan, W., Duan, X., Yang, Y., Liu, K., Huang, Y., Ren, X.: Inverse design of sub-wavelength convergent grating based on the stepped particle swarm algorithm. Opt. Lett. 47, 1915–1918 (2022)

    Article  ADS  PubMed  Google Scholar 

  • Huang, T.W., Chung, Y.C., Lai, Y.C., Sung, Y.H., Hsu, Y.S., Hung, W.C., Huang, C.Y. and Cheng, Y.C.: Metagrating-based augmented reality near-eye display. In: Optical Architectures for Displays and Sensing in Augmented, Virtual, and Mixed Reality (AR, VR, MR) II. (2021)

  • Jakus, G., Dicke, C., Sodnik, J.: A user study of auditory, head-up and multi-modal displays in vehicles. Appl. Ergon. 46, 184–192 (2015)

    Article  PubMed  Google Scholar 

  • Jiang, H., Chen, J., Tang, K., Yan, H., Hao, R.: High-performance slow light grating waveguides by means of deep learning. IEEE Photonics Technol. Lett. 34(20), 1112–1115 (2022)

    Article  ADS  CAS  Google Scholar 

  • Kazemi, A.A., Kress, B., Raulot, V. and Grossman, M.: Exit pupil expander for wearable see-through displays. In: Photonic Applications for Aerospace, Transportation, and Harsh Environment III, pp. 83680D–83688. (2012)

  • Lee, J.W., Yoon, C.R., Kang, J., Park, B.J. and Kim, K.H.: Development of lane-level guidance service in vehicle augmented reality system. In: 2015 17th International Conference on Advanced Communication Technology (ICACT), PyeongChang, Korea (South), pp. 263–266. (2015)

  • Lin, Y., Xu, H., Shi, R., Lu, L., Zhang, S.T., Li, D.: Enhanced diffractive efficiency with angular selectivity by inserting an optical interlayer into a diffractive waveguide for augmented reality displays. Opt. Express 30, 31244–31255 (2022)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Lv, Z., Liu, J., Xu, L.: A multi-plane augmented reality head-up display system based on volume holographic optical elements with large area. IEEE Photonics J. 13, 1–8 (2021)

    Google Scholar 

  • Menahem, J., Malka, D.: A two-channel silicon nitride multimode interference coupler with low back reflection. Appl. Sci. 12(22), 11812 (2022)

    Article  CAS  Google Scholar 

  • Moshaev, V., Leibin, Y., Malka, D.: Optimizations of Si PIN diode phase-shifter for controlling MZM quadrature bias point using SOI rib waveguide technology. Opt. Laser Technol. 138, 106844 (2021)

    Article  CAS  Google Scholar 

  • Munakata, K., Harada, K., Yoshikawa, N., Itoh, M., Umegaki, S. and Yatagai, T.: Direct fabrication of surface relief electro-optic gratings in azo-polymer films. In: Technical Digest. CLEO/Pacific Rim '99. Pacific Rim Conference on Lasers and Electro-Optics (Cat. No.99TH8464), Seoul, Korea (South), pp. 98–99. (1999)

  • Ni, D., Cheng, D., Liu, Y., Wang, X., Yao, C., Yang, T., Chi, C., Wang, Y.: Uniformity improvement of two-dimensional surface relief grating waveguide display using particle swarm optimization. Opt. Express 30, 24523–24543 (2022)

    Article  ADS  PubMed  Google Scholar 

  • Ohana, E., Malka, D.: O-band grating couplers using silicon nitride structures. Appl. Sci. 13(17), 9951 (2023)

    Article  CAS  Google Scholar 

  • Pan, C., Liu, Z., Pang, Y., Zheng, X., Cai, H., Zhang, Y., Huang, Z.: Design of a high-performance in-coupling grating using differential evolution algorithm for waveguide display. Opt. Express 26, 26646–26662 (2018)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Long, S., Li, N., Liu, Z., Chen, W., Zhang, D. and **ao, J.: Color near-eye display with high exit-pupil uniformity based on optimized meta-grating. In: Harbin Institute of Technology (Shenzhen), College of Electronic and Information Engineering, Shenzhen Engineering Laboratory of Aerospace Detection and Imaging, Shenzhen, China. (2022)

  • Shramkova, O., Drazic, V., Varghese, B., Blondé, L., De La Perriere, V.B. and Allié, V.: High-uniformity dielectric U-shaped surface relief grating coupler for AR headsets. In: Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVIII. (2021)

  • Singh, M., Raghuwanshi, S.K., Prakash, O.: Modeling of grating assisted hybrid plasmonic filter and its on-chip gas sensing application. IEEE Sens. J. 19(11), 4039–4044 (2019)

    Article  ADS  CAS  Google Scholar 

  • Tu, X., **e, W., Chen, Z., Ge, M.-F., Huang, T., Song, C., Fu, H.Y.: Analysis of deep neural network models for inverse design of silicon photonic grating coupler. J. Lightwave Technol. 39, 2790–2799 (2021)

    Article  ADS  CAS  Google Scholar 

  • Wei, L., Li, Y., **g, J., Feng, L., Zhou, J.: Design and fabrication of a compact off-axis see-through head-mounted display using a freeform surface. Opt. Express 26, 8550–8565 (2018)

    Article  ADS  PubMed  Google Scholar 

  • Wu, S.D., Gaylord, T.K., Maikisch, J.S., Glytsis, E.N.: Optimization of anisotropically etched silicon surface-relief gratings for substrate-mode optical interconnects. Appl. Opt. 45(1), 15–21 (2006)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Xu, C., Cheng, D., Chen, J., Wang, Y.: Design of all-reflective dual-channel foveated imaging systems based on freeform optics. Appl. Opt. 55, 2353–2362 (2016)

    Article  ADS  PubMed  Google Scholar 

  • Xu, X., Sun, C., Li, Y., Zhao, J., Han, J., Huang, W.: An improved tandem neural network for the inverse design of nanophotonics devices. Opt. Commun. 481, 126513 (2021)

    Article  CAS  Google Scholar 

Download references

Funding

This research was funded by the National Natural Science Foundation of China (62375013).

Author information

Authors and Affiliations

Contributions

YC and DL wrote the main manuscript text. XZ and XC and ML and YZ and HL and SL contributed: data set arrangement, figure editing and paper writing. All authors reviewed the manuscript. YC and DL contributed equally to this work.

Corresponding author

Correspondence to Sheng Liang.

Ethics declarations

Conflict of interest

The authors declare no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cui, Y., Lin, D., Zhang, X. et al. Efficiency uniformity improvement of gratings for head-up display waveguide using multilayer perceptron network. Opt Quant Electron 56, 303 (2024). https://doi.org/10.1007/s11082-023-05933-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-023-05933-z

Keywords

Navigation