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Wang S, Dai L, Lin C, Wang L, Ji Z, Fu Y, Gao Q, Zheng Y. Study on the Design Method of High-Resolution Volume-Phase Holographic Gratings. SENSORS (BASEL, SWITZERLAND) 2024; 24:6493. [PMID: 39409533 PMCID: PMC11479254 DOI: 10.3390/s24196493] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/03/2024] [Revised: 10/06/2024] [Accepted: 10/08/2024] [Indexed: 10/20/2024]
Abstract
Volume-phase holographic gratings are suitable for use in greenhouse gas detection imaging spectrometers, enabling the detection instruments to achieve high spectral resolution, high signal-to-noise ratios, and high operational efficiency. However, when utilized in the infrared wavelength band with high dispersion requirements, gratings struggle to meet the demands for low polarization sensitivity due to changes in diffraction performance caused by phase delays in the incidence of light waves with distinct polarization states, and current methods for designing bulk-phase holographic gratings require a large number of calculations that complicate the balance of diffraction properties. To overcome this problem, a design method for transmissive bulk-phase holographic gratings is proposed in this study. The proposed method combines two diffraction theories (namely, Kogelnik coupled-wave theory and rigorous coupled-wave theory) and establishes a parameter optimization sequence based on the influence of design parameters on diffraction characteristics. Kogelnik coupled-wave theory is employed to establish the initial Bragg angle range, ensuring that the diffraction efficiency and phase delay of the grating thickness curve meet the requirements for incident light waves in various polarization states. Utilizing rigorous coupled-wave theory, we optimize grating settings based on criteria such as a center wavelength diffraction efficiency greater than 95%, polarization sensitivity less than 10%, maximum bandwidth, and spectral diffraction efficiency exceeding 80%. The ideal grating parameters are ultimately determined, and the manufacturing tolerances for various grating parameters are analyzed. The design results show that the grating stripe frequency is 1067 lines per millimeter, and the diffraction efficiencies of TE and TM waves are 96% and 99.89%, respectively. The diffraction efficiency of unpolarized light is more than 88% over the whole spectral range with an average efficiency of 94.49%, an effective bandwidth of 32 nm, and a polarization sensitivity of less than 7%. These characteristics meet the performance requirements for dispersive elements based on greenhouse gas detection, the spectral resolution of the detection instrument is up to 0.1 nm, and the signal-to-noise ratio and working efficiency are improved by increasing the transmittance of the instrument.
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Affiliation(s)
- Shuo Wang
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Lei Dai
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Chao Lin
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
| | - Long Wang
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
| | - Zhenhua Ji
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
| | - Yang Fu
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Quyouyang Gao
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Yuquan Zheng
- Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China; (S.W.); (L.D.); (C.L.); (L.W.); (Z.J.); (Y.F.); (Q.G.)
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Mao YZ, Ho CT, Shiu SC, Liu CW. Lens centering error measurement based on subwavelength grating with power analysis. APPLIED OPTICS 2023; 62:3551-3556. [PMID: 37706968 DOI: 10.1364/ao.486115] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/31/2023] [Accepted: 04/03/2023] [Indexed: 09/15/2023]
Abstract
This study presents a technique for measuring the centering error of a lens. The technique uses power analysis and is highly accurate. The module is designed by a prism that is patterned using a subwavelength grating combined with a reflection-centering system by using the -1st-order rays at 5 mW and 650 nm. The optical axis error is tested and analyzed by the powermeter by using Snell's law and diffractive characteristics. The resolution of the optical-centering error in the system is amplified by a factor of 4 compared with the centering error measuring system based on autocollimation. The technique proposed in this study improves the sensitivity of the instrument and reduces the requirements of the sensor at the end side based on the direction or energy variation of the light.
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Large Angle Forward Diffraction by Chiral Liquid Crystal Gratings with Inclined Helical Axis. CRYSTALS 2020. [DOI: 10.3390/cryst10090807] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
A layer of chiral liquid crystal (CLC) with a photonic bandgap in the visible range has excellent reflective properties. Recently, two director configurations have been proposed in the literature for CLC between two substrates with periodic photo-alignment: one with the director parallel to the substrates and one with the director in the bulk parallel to the tilted plane. The transmission experiments under large angles of incidence (AOI) presented in this work prove that, in the bulk, the director does not remain parallel with the substrates. Because of the inclined helical axis, the full reflection band can be observed at a smaller AOI than in planar CLC. For sufficiently large AOI, the reflection of diffracted light is prohibited by total internal reflection and efficient diffraction occurs in the forward direction.
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Mattelin MA, Radosavljevic A, Missinne J, Cuypers D, Van Steenberge G. Design and fabrication of blazed gratings for a waveguide-type head mounted display. OPTICS EXPRESS 2020; 28:11175-11190. [PMID: 32403634 DOI: 10.1364/oe.384806] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2019] [Accepted: 02/19/2020] [Indexed: 06/11/2023]
Abstract
In a waveguide-type display for augmented reality, the image is injected in the waveguide and extracted in front of the eye appearing superimposed on the real-world scene. An elegant and compact way of coupling these images in and out is by using blazed gratings, which can achieve high diffraction efficiencies. We report the design of blazed gratings for green light (λ = 543 nm) and a diffraction angle of 43°. The blazed gratings with a pitch of 508 nm and a fill factor of 0.66 are fabricated using grayscale electron beam lithography. We outline the subsequent replication in a polymer waveguide material with ultraviolet nanoimprint lithography and confirm a throughput efficiency of 17.4%. We finally show the in- and outcoupling of an image through two blazed gratings appearing sharp and non-distorted in the environment.
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Yang L, Tu Y, Shi Z, Guo J, Wang L, Zhang Y, Li X, Wang B. Efficient coupling to a waveguide by combined gratings in a holographic waveguide display system. APPLIED OPTICS 2018; 57:10135-10145. [PMID: 30645218 DOI: 10.1364/ao.57.010135] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/05/2018] [Accepted: 11/14/2018] [Indexed: 06/09/2023]
Abstract
Gratings are widely used as coupling parts in a waveguide display system for achieving a much lighter and more compact system, but their diffraction efficiency needs to be improved. Two combined gratings for integrating a subwavelength binary grating and volume holographic grating (VHG) are applied as incoupler and outcoupler of a holographic waveguide display system. Two basic design rules are put forward to guarantee the maximum diffraction energy guided into the waveguide and finally coupled out to enter into the user's eyes: one is the grating vector matching rule, the other is the refractive index matching rule on the interface of the binary grating and the VHG. The finite element method is used to simulate the couple-in parts and the whole waveguide display system. The combined grating with the metal binary grating is different from that with a dielectric binary grating for achieving higher diffraction efficiency and an additional second peak in the diffraction efficiency curve varied with the relative position between the binary grating and the VHG. The simulation results indicate that a VHG+Ag combined grating can obtain much higher diffraction efficiency compared to gold, aluminum, and other dielectric materials. In addition, several factors such as the Bragg wavelength, the index modulation of VHG, binary grating thickness, and the filling factor of the binary grating are discussed for the VHG+Ag combined grating. Moreover, a higher diffraction efficiency in the holographic waveguide system can be obtained by using VHG+Ag-VHG+Ag combined gratings as the incoupler and outcoupler.
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Reducing electric-field-enhancement in metal-dielectric grating by designing grating with asymmetric ridge. Sci Rep 2018; 8:5228. [PMID: 29588450 PMCID: PMC5869717 DOI: 10.1038/s41598-018-22479-3] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2017] [Accepted: 02/14/2018] [Indexed: 11/08/2022] Open
Abstract
Diffraction gratings are an essential optical component of high-power, short-pulse lasers. The maximum output of high-power pulsed lasers is always determined by laser resistance of gratings and this resistance is strongly dependent on the local near electric field intensity in the grating structure. We presented a novel method of reducing electric-field-enhancement in metal-dielectric grating by designing asymmetric grating ridge while maintaining high diffraction performance. Compared with the common isosceles trapezoidal grating, the grating with asymmetric ridge got a 0.04% reduction of diffraction efficiency in TE polarization at 1053 nm incident wavelength but a 21.3% reduction of maximal electric-field-enhancement in grating structure. This method can be applied to any surface-relief gratings to reduce the electric-field-enhancement for improving the laser induced damage threshold (LIDT) of grating and supporting the grating-based chirped pulse amplification (CPA) system to develop into higher peak-power levels.
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