Accuracy analysis of simplified and rigorous numerical methods applied to binary nanopatterning gratings in non-paraxial domain

A set of simplified and rigorous electromagnetic vector theories is used for analyzing the transmittance characteristics of diffraction phase gratings. The scalar diffraction theory and the effective medium theory are validated with the exact results obtained via the rigorous coupled-wave theory and the finite-difference time-domain method. The effects of surface profile parameters and also the angle of incidence is demonstrated to be a limiting factor in the accuracy of these theories. Therefore, the error of both simplified theories is also analyzed in non-paraxial domain with the intention of establishing a specific range of validity for both simplified theories.     

Enhancing light extraction from tapered internal reflection microstructure

The internal transmittance characteristics of the taper surface microstructure grating with the feature size in a large dimension range from subwavelength nanostructure to microstructure are investigated to improve the light extraction efficiency of light emitting diodes. It is found that subwavelength taper nanostructure can not overcome the total internal reflection, but it is interesting that the taper microstructure can effectively surmount the total internal reflection at a larger emitted angle over the critical angle also with higher transmittance. Besides, the emission characteristics of light intensity for subwavelength nano-grating and taper micro-grating are demonstrated. Also, the simple approaches of the scalar diffraction theory and the effective medium method can accurately analyze respectively the taper microstructure and subwavelength nanostructure grating. It is expected that the taper microstructure could be integrated into light emitting diodes to tremendously enhance the emission efficiency.     

纳米线减反层的解析设计法

本文通过分析比较给出了常用二维等效介质理论解析解的适用条件并 且将有效介质理论的适用范围推广至零级衍射边界处, 并通过FDTD模拟验证了该解析方法的准确性. 这不仅解决了长期以来没有精确二维有效介质理论(2D-EMT)解析解的困境, 而且使得直接用解析公式设计和定量解释减反微结构的减反效果变得可能, 有着广泛的应用前景. 关键词： 零级衍射光栅 有效介质理论 太阳能电池减反 纳米线阵列     

A novel approach for analyzing open Z-scan experiments

In this work, a novel method for analyzing open Z-scan experiments is presented. It is based on the calculation of the nonlinear absorption parameter q directly from the transmittance measurements. Specifically, we have found an analytic formula describing the dependence of the parameter q on the normalized transmittance. The influence of noise has been studied and the method was proved robust even under conditions of relatively high noise. Extension to the general case of an elliptic Gaussian incident beam has also been realized. The technique has been experimentally tested by analyzing transmittance measurements obtained from a recently synthesized pyrylium salt, illuminated by a femtosecond laser system. The results are in very good agreement with those obtained by the standard Z-scan analysis, especially regarding the nonlinear absorption coefficient β.     

小周期二元光学元件的矢量分析

详细地介绍了一种可用于分析大口径大视场二元光学系统的光栅矢量分析法－－ＢＫＫ 种方法适用于光栅周期处于波长量级、任意光栅轮廓及倾斜入射时的衍射率计算。给出 计算结果,并与标量近似计算结果进行比较 。     

Multilevel phase Fresnel zone plate lens as a near-field optical element

We propose and develop a new solid immersion lens (SIL), which is called the multilevel phase Fresnel zone plate lens (FZPL) for the near-field (evanescent wave) microscopy. The simple analysis is presented by using the scalar diffraction theory. The outstanding advantages of this FZPL are that it both focuses incident waves and produces evanescent waves. A FZPL can effectively concentrate the high angle rays important for the high resolution in comparison with the conventional SILs. The optical system equipped with the FZPL is not only simple in the assembly but also effective in making an optical head unit.     

Rigorous electromagnetic analysis of dual-closed-surface microlens arrays

In this paper, we investigated the focal performance of the dual-closed-surface microlens arrays (DCSMAs) based on rigorous electromagnetic theory and boundary element method (BEM) in the case of TE polarization. The DCSMAs are designed with different substrate thickness and different distance between microlenses. DCSMAs designed according to different wavelengths are surveyed. The DCSMAs with different incident angles are also studied. Several focusing performance measures, such as the focal spot size, the focal position on the preset focal plane, the diffraction efficiency and the normalized transmitted power, are presented. Numerical results indicate the DCSMAs with different parameters can implement focusing beams and the focal performance of DCSMAs is easily influenced by the substrate thickness and the incident wavelength. Furthermore, the optimal thickness for the maximal diffraction efficiency of the DCSMAs is given. It is expected that the DCSMAs may be used as a parallel processing device in micro-optics systems.     

亚微米光栅零级衍射特性的数值研究

用耦合波理论分析了亚微米光栅对光波场的衍射作用,给出了在TE和TM偏振入射条件下矩阵形式的耦合波方程,研究了光栅在TE偏振入射条件下可见光波段内的反射和透射零级衍射特性。亚微米光栅零级衍射效率是波长、偏振和入射角的函数,在不同照明、观察和光栅参数条件下,光栅零级衍射具有非常复杂的光谱结构,经过适当的优化光栅参数,零级衍射具有许多独特的衍射特性,在许多应用领域具有广泛的应用前景。     

Polarization effect of femtosecond pulse breakdown in subwavelength antireflective relief grating

The transmittance property and the near-field distribution of subwavelength broadband antireflective grating directly patterned into the wide bandgap dielectric material as a function of the surface period and groove depth are performed by a rigorous Fourier modal method. It is found that the transmittivity is insensitive for TE and TM polarization, but the near-field distribution associated with laser damage resistance ability is strongly dependent on polarization state of incident light. What's more, the femtosecond pulse laser damage threshold of surface structure taking into account local maximum electric field enhancement was calculated numerically using a theoretical ionization mechanism model. The higher threshold on the surface period, pulse duration and incident wavelength for TM polarization than that for TE wave is demonstrated quantitatively.     

Focusing performance of the closed-boundary cylindrical microlenses analyzed by the boundary element method

In this paper, we investigate the focusing performance of closed-boundary cylindrical microlenses (CBCMs) based on rigorous electromagnetic theory and the boundary element method. The CBCMs with different incident angles, different quantization-level numbers, different microlens diameters, different f-numbers, and different polarizations of incidence are studied. Several focusing performance measures, such as the focal spot size, the diffraction efficiency, the real focal position, and the normalized transmitted power, are presented. It provides very useful information in designing the CBCMs in micro-optical systems.     

光导板中新型衍射元件的数值模拟研究

基于严格耦合波理论,数值计算了一种在闪耀斜面镀膜的亚波长光栅结构,并首次提出将该光栅应用于光导板的设计中,使光导板衍射的RGB光束无需经过滤色片,直接透射相应的像素点。在数值计算中,设定入射光为TE偏振态、入射角为60°、波长为RGB三基色。光栅以有机玻璃为基底,二氧化钛为膜层,并随波长改变周期、闪耀角等参数。计算结果表明,该光栅的一级衍射光可垂直于表面出射,一级衍射效率随膜厚渐变,最高达37%,其余非零级次的衍射效率低于2%。将该特性的光栅应用于新型光导板的数值建模中,并对光栅的制作进行了工艺容差分析,计算得归一化能量的标准差小于1%,总衍射效率接近80%。     

A detailed study of metallic surface-relief grating

This paper presents a more detailed interaction of an electromagnetics light with a metallic surface-relief subwavelength grating utilizing the rigorous coupled-wave analysis. The focus of this work is the accurate modeling of undetermined aspects of diffraction patterns produced by binary metallic grating structures, specially gold grating. First-order diffraction efficiency for rectangular-groove gold grating with equal groove and ridge widths are presented for various wavelengths as a function of period, groove depth, polarization and angle of incidence. We also studied diffraction efficiency of both of TE and TM polarization modes against increasing of incident angle as well as TE polarization against increment of grating period. As a result, very low reflectivity at zero-order was found out for TE and TM polarizations at the pitch of Λ = 2λ. Having been studied diffraction efficiency of metallic surface-relief gratings, we also examined polarization-dependent efficiency of diffraction orders, for different groove depths. Simulation results have been completely presented.     

The group indices of refraction and the group velocities of the e-ray and the o-ray waves in α-quartz

A spectroscopic method was proposed for direct determination of the group velocity and the group index of refraction of the medium. By evaluating the wavelengths at successive interference fringes shown in transmission spectrum, the group velocity and the group index of refraction, and their dependences on the wavelength of the incident light can be determined. This method was applied to evaluate the group velocities and the group indices of refraction for the extraordinary (e-ray) and the ordinary (o-ray) waves in α-quartz in a wide infrared wavelength range. Anomaly in both group index of refraction and the group velocity of the e-ray results from the interaction of the e-ray and the o-ray waves in α-quartz.     

Ellipsometric study of preformatted surface structure of optical disc

Investigations of optical disc with standard preformatted structure are carried out by null-ellipsometry method. Model of the surface structure of optical disc based on the scalar theory of diffraction is examined. Adequacy of the model suggested to real state of surface for different experimental configurations is estimated. Sensitivity of ellipsometry technique to changes of the optical disc surface structure is determined for two models with different optical parameters of the surface film (n₁=1.6; k₁=0.02 and n₁=1.7; k₁=0.3). Minimum changes of microstructure parameters, which can be registered by ellipsometric measurements, are assessed.     

Generalized wave coupling theory of linear electro-optic effect in absorbent medium

Starting from Maxwell’s equations and considering the linear electro-optic effect as a perturbation, we present a generalized wave coupling theory of linear electro-optic effect in absorbent medium. We give the rigorous solution of the resultant equations for a light wave propagating along any direction with an external dc electric field along an arbitrary direction. As an application, we use the theory to discuss the influence of absorption on the light wave in a KTP crystal. The results demonstrate that the absorption coefficients influence not only the amplitude but also the phase of the light wave.     

Optical transmission through metallic nanoslit with symmetric or asymmetric surface-relief profile

The enhanced optical transmission through metallic nanoslit with symmetric or asymmetric surface-relief profile is investigated based on rigorous electromagnetic theory by using the boundary integral method (BIM). Metallic nanoslits with different geometrical structure surfaces: asymmetric sinusoid surface-relief profile and symmetric sinusoid surface-relief profiles, are investigated. The transmission spectra are calculated and the corresponding intensity distributions of magnetic fields at the resonant wavelengths are numerically emulated and illuminated. The numerical results show that there are two transmission peaks - attributed to the nanoslit geometrical structure and the metallic material, respectively, and the normalized transmittance through the conventionally rectangular nanoslit will be enhanced largely when its surface profile is replaced by the smoothly surface-relief shape of the metallic nanoslit. It is indicated that anomalously high transmission is quite sensitive to the surface geometrical profile of the nanoslit and the incident direction of the light wave.     

Surface relief resonant Brewster filters with multiple channels

In this paper, a new type of resonant Brewster filters （RBF） with surface relief structure for the multiple channels is first presented by using the rigorous coupled-wave analysis and the S-matrix method. By tuning the depth of homogeneous layer which is under the surface relief structure, the multiple channels phenomenon is obtained. Long range, extremely low sidebands and multiple channels are found when the RBF with surface relief structure is illuminated with Transverse Magnetic incident polarization light near the Brewster angle calculated with the effective media theory of sub wavelength grating. Moreover, the wavelengths of RBF with surface relief structure can be easily shifted by changing the depth of homogeneous layer while its optical properties such as low sideband reflection and narrow band are not spoiled when the depth is changed. Furthermore, the variation of the grating thickness does not effectively change the resonant wavelength of RBF, but have a remarkable effect on its line width, which is very useful for designing such filters with different line widths at desired wavelength.     

The quantum acousto-optic effect in Bose-Einstein condensate

We investigate the interaction between a single mode light field and an elongated cigar shaped Bose-Einstein condensate (BEC), subject to a temporal modulation of the trap frequency in the tight confinement direction. Under appropriate conditions, the longitudinal sound like waves (Faraday waves) in the direction of weak confinement acts as a dynamic diffraction grating for the incident light field analogous to the acousto-optic effect in classical optics. The change in the refractive index due to the periodic modulation of the BEC density is responsible for the acousto-optic effect. The dynamics is characterised by Bragg scattering of light from the matter wave Faraday grating and simultaneous Bragg scattering of the condensate atoms from the optical grating formed due to the interference between the incident light and the diffracted light fields. Varying the intensity of the incident laser beam we observe the transition from the acousto-optic effect regime to the atomic Bragg scattering regime, where Rabi oscillations between two momentum levels of the atoms are observed. We show that the acousto-optic effect is reduced as the atomic interaction is increased.     

Weak localization effects in the second-harmonic light scattered by random systems of particles

We report rigorous numerical simulations that show the presence of coherent backscattering effects in the second-harmonic generation and scattering of light by random systems of two-dimensional particles. Since the medium composing the particles is assumed to be homogeneous and isotropic, the second-harmonic field is generated mainly by surface effects. For the fundamental frequency, the results present a clear enhanced backscattering peak. In contrast, the second-harmonic scattering patterns present an intensity dip in the backscattering direction.