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In order to precisely analyze and design the transmittance characteristics of a blazed grating, the validity of both the scalar diffraction theory and the effective medium theory is quantitatively demonstrated. By making a comparison of diffraction efficiencies calculated by the two simplified methods and Fourier modal method, the accuracy can be obtained. It is found that when the normalized period is more than three wavelengths of the incident light, the scalar diffraction theory is useful to calculate the transmittance of the blazed grating within the error of less than 3%. The validity of the scalar diffraction theory increases when the normalized period increases. Importantly, by considering the Fresnel reflection effect, the validity of scalar diffraction theory can be significantly enhanced. Furthermore, when no higher-order diffraction waves appear and only zeroth order diffraction wave propagates, the effective medium theory is accurate to compute the diffraction efficiency within the difference of less than 1% between the zeroth order effective medium theory and Fourier modal method. The polarization characteristics of the validity of effective medium theory are also quantitatively demonstrated. The validity of the two simplified theories is dependent on not only the normalized period of surface microstructure but also the normalized groove depth.
Słowa kluczowe
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Rocznik
Tom
Strony
183--198
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
- Institute of Optoelectronic Technology, China Jiliang University, Hangzhou 310018, China
autor
- Institute of Optoelectronic Technology, China Jiliang University, Hangzhou 310018, China
autor
- Institute of Optoelectronic Technology, China Jiliang University, Hangzhou 310018, China
autor
- College of Materials Science and Engineering, China Jiliang University, Hangzhou 310018, China
autor
- College of Materials Science and Engineering, China Jiliang University, Hangzhou 310018, China
Bibliografia
- [1] LALANNE P., ASTILEAN S., CHAVEL P., CAMBRIL E., LAUNOIS H., Blazed binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings, Optics Letters 23(14), 1998, pp. 1081–1083.
- [2] HUAIJUN WANG, DENGFENG KUANG, ZHILIANG FANG, Diffraction analysis of blazed transmission gratings with a modified extended scalar theory, Journal of the Optical Society of America A 25(6), 2008, pp. 1253–1259.
- [3] LIFENG LI, Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity, Journal of the Optical Society of America A 10(12), 1993, pp. 2581–2591.
- [4] JINGJING ZHANG, JUNBO YANG, HUANYU LU, WENJUN WU, JIE HUANG, SHENGLI CHANG, Polarization -independent grating coupler based on silicon-on-insulator, Chinese Optics Letters 13(9), 2015, article ID 091301.
- [5] LIFENG LI, New formulation of the Fourier modal method for crossed surface-relief gratings, Journal of the Optical Society of America A 14(10), 1997, pp. 2758–2767.
- [6] HUA WU, CHONG LI, QIAOLI LIU, BAI LIU, JIAN DONG, LEI SHI, XIA GUO, Design of two-dimensional apodized grating couplers with Gaussian diffractive mode, Chinese Optics Letters 13(5), 2015, article ID 050501.
- [7] CHIA-JEN TING, CHI-FENG CHEN, CHOU C.P., Subwavelength structures for broadband antireflection application, Optics Communications 282(3), 2009, pp. 434–438.
- [8] HAGGANS C.W., LIFENG LI, KOSTUK R.K., Effective-medium theory of zeroth-order lamellar gratings in conical mountings, Journal of the Optical Society of America A 10(10), 1993, pp. 2217–2225.
- [9] XUAN LIU, HAITAO HUANG, HEYUAN ZHU, DEYUAN SHEN, JIAN ZHANG, DINGYUAN TANG, Widely tunable, narrow linewidth Tm: YAG ceramic laser with a volume Bragg grating, Chinese Optics Letters 13(6), 2015, article ID 061404.
- [10] TIAN F., KANKA J., DU H., Characterization of external refractive index sensitivity of a photonic crystal fiber long-period grating, Chinese Optics Letters 13(7), 2015, article ID 070501.
- [11] LIFENG LI, Note on the S-matrix propagation algorithm, Journal of the Optical Society of America A 20(4), 2003, pp. 655–660.
- [12] GORDÓN C., GUZMÁN R., LEIJTENS X., CARPINTERO G., On-chip mode-locked laser diode structure using multimode interference reflectors, Photonics Research 3(1), 2015, pp. 15–18.
- [13] COWAN J.J., Aztec surface-relief volume diffractive structure, Journal of the Optical Society of America A 7(8), 1990, pp. 1529–1544.
- [14] RYTOV S.M., Electromagnetic properties of a finely stratified medium, Soviet Physics – JETP 2, 1956, pp. 466–475.
- [15] BRUNDRETT D.L., GLYTSIS E.N., GAYLORD T.K., Homogeneous layer models for high-spatial-frequency dielectric surface-relief gratings: conical diffraction and antireflection designs, Applied Optics 33(13), 1994, pp. 2695–2706.
- [16] ZHENGQING QI, JIE YAO, LIANGLIANG ZHAO, YIPING CUI, CHANGGUI LU, Tunable double-resonance dimer structure for surface-enhanced Raman scattering substrate in near-infrared region, Photonics Research 3(6), 2015, pp. 313–316.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d3637210-da89-4ecc-abb8-0239397107e9