Anisotropic two-photon transitions in GaAs/AlGaAs multiple quantumwell waveguides

The two-photon absorption coefficient and induced nonlinear refractive index in both TE and TM modes of GaAs/AlGaAs multiple-quantum-well (MQW) strip-loaded channel waveguides are measured in the wavelength range from 1490 nm to 1660 nm. The two-photon absorption coefficient ranges from almost zero to 12 cm/GW, and the nonlinear refractive index is always on the order of 10^-13 cm ²/W in the wavelength window investigated. Strong nonlinear anisotropy is observed. The values of the two-photon absorption coefficient are obtained by calibrating the inverse transmission measurements. Those of the nonlinear refractive index are obtained by monitoring the signal spectrum broadening due to self-phase modulation. The wavelength dependences of the measured two-photon absorption coefficient and nonlinear refractive index are reasonably consistent with the theoretical predictions     

退火对离子注入铌酸锂平面波导中折射率分布的影响

研究了不同退火条件对氢离子和氦离子注入铌酸锂平面波导中折射率分布的影响。在不同时间和温度下退火处理后用棱镜耦合法测量了两种波导的暗模 ,并给出退火处理前后两种波导的折射率分布。实验结果表明两种离子的注入均造成了损伤层中正常折射率的减小 ,而反常折射率在波导区却有所增加。退火处理对损伤层中的正常折射率分布影响较明显 ,而在 4 0 0℃以下反常折射率几乎不受退火处理的影响     

Impedance boundary method of moments for accurate and efficientanalysis of planar graded-index optical waveguides

An impedance boundary method of moments (IBMOM) is proposed to accurately and efficiently compute the propagation characteristics including the number of guided modes of general graded-index dielectric slab waveguide structures. The method is based on Galerkin's procedure in the method of moments and employs the exact impedance boundary condition at the interfaces between the graded-index region and constant-index cladding. Legendre polynomials are utilized in the field expansion. Computational results are shown for waveguides with various inhomogeneous refractive index profiles. The results indicate that typically five Legendre polynomials are sufficient for accurate solutions of the dominant TE and TM modes in optical waveguides having a finite region of inhomogeneous refractive index. Diffused optical waveguides with untruncated index profiles as well as coupled dielectric waveguides can be accurately analyzed using ten Legendre polynomials     

Iterative simplex-finite difference method for the characterizationof optical waveguides

A new method is presented for reconstructing smooth refractive index profiles of optical waveguides from measured effective indexes. It is based on the semivectorial finite difference method to solve the polarized wave equation for a given refractive index profile. An iterative simplex algorithm is used to find the best refractive index parameters that give, as a solution, effective indexes close to the measured ones. The method is applied successfully to Ag⁺-Na ⁺ ion-exchanged glass slab waveguides and to diffused Mg/Ti:LiNbO₃ slab waveguides. Dopant concentration profiles are obtained by using secondary ion mass spectrometry. The relationship between the refractive index change and the dopant concentration is determined for both cases. The iterative simplex algorithm-finite difference method (ISA-FDM) is compared to other index profile reconstruction methods, and the advantages with respect to WKB-based methods are pointed out     

Characterization of refractive index profiles in silver-sodiumion-exchanged glass waveguides for homogeneous refracting waveguidestructures

The refractive index profiles are investigated for Ag⁺-Na⁺ ion-exchanged waveguides in soda-lime glass. The waveguides with the highest index change, used to design homogeneous refracting waveguide lenses and prisms, are fabricated at 350°C using concentrated melt with composition of 10 mol.% AgNO₃ and 90 mol.% NaNO₃. The profiles of two- and three-mode waveguides are reconstructed from the measured mode refractive indexes. The linear correlation between the index change and the silver concentration in glass is experimentally confirmed. The concentration profiles are numerically simulated on the base of diffusion-exchange theory. It is established that the values of the maximum in index profile near the glass surface tend to a saturation value after a long exchange time     

晶体材料KTP和LiTaO3的光波导特性

通过离子注入法在晶体材料KTP和LiPaO3中形成了平面光波导,根据实验数据计算出了其折射率分布曲线,并对波导特性进行了分析。     

Mode structure and lateral confinement in strip-loaded opticalwaveguides: Effects of asymmetric cladding

Strip-loaded waveguides formed from three dielectric layers are used in integrated optics to confine and channel light in two dimensions. The numerical analysis reported shows that modal characteristics of such systems can be strongly affected by any differences between the refractive indexes of the upper and lower cladding. Asymmetries that tend to shift intensity toward the upper cladding generally act to tighten lateral confinement, introduce additional lateral modes, and displace the modes up into the strip. These effects are explained by noting the interplay of vertical and lateral confinement in a strip-loaded waveguide, and by analogy to one-dimensional slab waveguides     

金属包层渐变折射率平板波导传播特性

本文采用多层线型分割近似，结合欧姆损耗微扰法，分析了金属包层渐变折射率平板波导的传播特性。按此方法计算了几类典型波导的传播常数数值，结果均与精确值相吻合，且物理概念清楚，计算方法简单。     

Scalar BPM analyses of TE and TM polarized fields in bent waveguides

We have applied the effective index method to reduce the two-dimensional (2-D) refractive index profile into the 1-D refractive index structure and modified the wave equations to obtain the paraxial wave equations. Then, transverse electric (TE) and transverse magnetic (TM) polarized fields in the curved single-mode planar waveguides are analyzed by using the scalar beam-propagation method (BPM) employing the finite-difference method with a slab structure. The bending loss in bent waveguides is analyzed for optical fields obtained from the BPM and comparisons are made between the loss for the waveguides with various radius of curvature and refractive index difference. The outward shift of the optical field, which is generated at the connection between a straight and a bent waveguide, is obtained from the results of calculation of location of the maximum optical intensity. The transition loss can be reduced by introducing an optimized inward offset at a straight-to-bend junction. The birefringence for TE and TM polarized fields in bent waveguides is calculated from the phase difference of the optical fields. The wavelength shift due to the birefringence of TE and TM polarized fields in bent waveguides is also calculated.     

Vector finite element solution of saturable nonlinear strip-loaded optical waveguides

A numerical solution is given for nonlinear optical waveguides with power confinement in both transverse dimensions. Self-consistent solutions are obtained by using an accurate vector-finite-element formulation along with the penalty technique. Numerical results for the first quasi-transverse-magnetic power-dependent mode are presented for strip-loaded waveguides with saturable self-focusing media. The variations with total power are illustrated for the modal index and for the fraction of the total power carried by different regions, showing interesting abrupt power switching for realistic geometries. It is shown that the switching effect is maintained in the presence of saturation and over a range of two-transverse-dimensions geometries. This switching effect can be controlled with variation of some of the parameters of the guide.<>     

Fiber-compatible K+-Na+ ion-exchanged channelwaveguides: fabrication and characterization

A systematic study of waveguides fabricated by K⁺-Na ⁺ exchange in soda-lime silicate and BK7 glasses is presented. The measured K⁺ concentration profile, the refractive index profile, and the diffusion profile obtained by solving the one-dimensional diffusion equation are correlated to explain the differences in the index profiles in the two glasses. The mobility of the potassium ions was measured by fabricating waveguides using electromigration. Surface waveguides formed by diffusion from a molten KNO₃ salt bath were buried by applying an electric field. Single-mode channel waveguides for operation at a wavelength of 1.3 μm that exhibit excellent mode matching with conventional optical fibers, achieving a fiber-waveguide insertion loss of less than 1 dB for a 20-mm-long waveguide, have been obtained     

Local field analysis of bent graded-index planar waveguides

A local field analysis is proposed for bent planar waveguides with arbitrary refractive index profiles. Exact vector wave equations that include the gradient index, or polarization correction, term are derived for both transverse electric and transverse magnetic modes from Maxwell's equations in a local bent coordinate system. The approximate local field and correction to the propagation constants are obtained by perturbation analysis. As an example of the method, an infinitely extended parabolic index profile is studied     

Nd:MgO:LiNbO_3光波导的制备及其特性

一、引言 目前,LiNbO_3是集成光学系统中使用较为广泛的衬底材料。自从Zhong等人首次报道了掺MgO的LiNbO_3晶体具有抗光损伤效应以来,MgO:LiNbO_3晶体在集成光学系统中得到了越来越广泛的应用。而质子交换MgO:LiNbO_3波导具有比纯LiNbO_3质子交换波导高的抗光损伤能力。把具有较好激光性能的钕离子掺入LiNbO_3中就能制成波导激光器。     

Direct index measurements of diffused channel waveguides

A nondestructive method is described for obtaining information about the refractive index profiles of diffused channel waveguides of the type used in integrated optics. The method assumes that the index profile can be approximated as a product of two functions each of which depends on one of the two transverse coordinates. By observing the focusing effect, which the waveguide has on collimated light passing through it transversely to its axis, the shape of the index profile in a direction parallel to the surface of the substrate can be obtained. From measurements of the reflection coefficients we obtain the refractive index at the upper surface of the waveguide. By combining the two measurements the effective depth of the waveguide can be calculated. Results of measurements on multimode and single-mode waveguides formed in glass and lithium niobate are presented.     

质子交换LiTaO3平板光波导的表征

本文采用质子交换法制备了Ｚ切ＬｉＴａＯ３晶体平板光波导，并研究了退火前后波导的光学性能。讨论并用实验结果验证了退火前后波导内折射率的分布，实验证明退火前波导层的折射率分布为阶跃型，退火后其分布为费米型。在６３２．８ｎｍ的Ｈｅ－Ｎｅ激光波长下的测量结果表明：质子交换ＬｉＴＡＯ３波导层折射率增量退火前约为０．０１２，退火后为０．０２５。     

Cu离子交换过程对制备玻璃平面光波导特性的影响

用Cu离子交换技术,制备了soda-lime玻璃平面光波导。通过棱镜耦合技术测量了波导的有效折射率,用反WKB方法拟合得到了平面波导的折射率分布。研究发现,离子交换时间和温度2个可控的制备参数对制备的玻璃平面波导特性有较大影响,随着离子交换时间和温度的增加,波导的模式数和波导深度并非随之单调增加,波导模式数随着离子交换时间的增加先增加而后减小,而适当的离子交换时间可以使制备的波导具有最大的模式数和波导深度,且在该条件下增加离子交换温度可以提高Cu离子交换波导的蓝-绿发光强度,宽带发光中心波长在520 nm附近,发光强度取决于样品中Cu+的浓度以及Cu2+的影响。     

Determination of Refractive Indices From the Mode Profiles of UV-Written Channel Waveguides in ${hbox {LiNbO}}_{3}$-Crystals for Optimization of Writing Conditions

We report on a method for the simultaneous determination of refractive index profiles and mode indices from the measured near-field intensity profiles of optical waveguides. This method has been applied to UV-written single-mode optical waveguides in ${hbox {LiNbO}}_{3}$ for the optimization of the writing conditions. The results for the waveguides written with light of the wavelengths 275, 300.3, 302, and 305 nm for different writing powers and scan speeds reveal that for optimum writing conditions a maximum possible refractive index change of $sim$0.0026 can be achieved at a value of 632.8 nm transmitting wavelength. The computation process used in the presented technique may also become useful to extract absolute refractive index values of any slowly varying graded index waveguide.      

Stress in copper ion-exchanged glass waveguides

This paper obtains stress profiles of copper ion-exchanged glass waveguides from the analysis of transverse electric (TE) and transverse magnetic (TM) modes which was measured by means of the prism-coupling technique. The reconstruction of stress profiles have been realized from an interpolation of the obtained data of effective refractive indexes. We found that the stress profiles decrease with the depth, in agreement with the behaviour of refractive index profiles. We also discuss the theory of the swelling of the glassy network, and we used an approximated model to fit our data of swelling versus diffusion time. The swelling measurements were done by means of a microinterferometrical technique     

Buried ion-exchanged glass waveguides using field-assisted annealing

Theoretical and experimental studies on buried ion-exchanged waveguides using field-assisted annealing (FAA) in erbium-doped phosphate glasses are reported. The procedure for making buried waveguides with the use of a two-step process is demonstrated. An analytical model for the FAA process was developed to simulate the experimental conditions, and both the refractive index profiles and the effective buried depths of these waveguides are predicted. The mode intensity profiles as well as the buried depths are measured, and the measured data are in good agreement with the simulated results.     

Study and Design of Spiral Bent Waveguide Configuration

A new version of the scalar transverse electric（TE） wave equation in the bent waveguide is introduced. Then. TE polarized field in curved single-mode waveguides is analyzed by using the finite- difference beam propagation method（FD-BPM）. The bending loss in bent waveguides is gotten for the optical fields obtained from BPM and comparisons are made among losses of the waveguides with various curvature radiuses, refractive index differences and cross sections. Based on the results, the design of spiral bent waveguide configuration is proposed as follows： refractive index difference being of 0. 007, both width and thickness of waveguides being of 6 μm, the curvature radius in the spiral centre being of 4 mm, and the bending loss coefficient of the designed spiral bent waveguide being of 0. 302 3 dB/cm.