Light propagation characteristics of straight single-line-defectwaveguides in photonic crystal slabs fabricated into asilicon-on-insulator substrate

Straight single-line defect optical waveguides in photonic crystal slabs are designed by the finite difference time-domain method and fabricated into a silicon-on-insulator (SOI) wafer. By employing an airbridge structure, clear light propagation for both polarizations is observed without any leakage along the waveguide. This experimental result is well explained by photonic bands of pure guided modes. Minimum propagation loss is estimated to be 11 dB/mm. This value is lower than that reported so far for three-line-defect waveguides with an SOI slab structure and almost comparable to that for an index confinement waveguide with a rectangular Si core. This propagation loss is dominated by the scattering loss by some irregularities. However, photonic crystal waveguides have the possibility of an essential lower scattering loss than in the index confinement waveguide because of the inhibition of radiation modes by the photonic bandgap     

Investigation of the effects of process-induced disorder location on planar photonic crystal waveguide properties

The effects of process-induced disorder location on planar photonic crystal waveguide properties are numerically investigated using three-dimensional finite difference time domain simulation by introducing random fluctuations of the hole radius, size, position, and shape of air-holes of two-dimensional planar photonic crystal slab. Results reveal that bandgap properties are extremely robust with respect to disorder. It is shown that the very first rows of holes play a major role in the amount of disorder-induced optical loss, and that keeping the first two rows of holes unchanged leads to a blue-shift of slow light waveguide properties.     

Out-of-plane scattering in photonic crystal slabs

Photonic crystal slabs combine a slab waveguide with an in-plane photonic crystal. Light is then confined in-plane by the photonic crystal and out-of-plane by the slab waveguide. The etched structures will cause light to scatter out of the waveguide plane. We studied the out-of-plane scattering losses using a two-dimensional approximation of this three-dimensional structure, with etched slots instead of holes. Our simulation techniques include mode expansion with perfectly matched layer absorbing boundary conditions. We show that the losses increase with higher index contrast, but that with very high-index contrasts light can be coupled into lossless Bloch modes     

Properties of the slab modes in photonic crystal optical waveguides

We show that by placing a slab of semiconductor material between two photonic bandgap (PBG) mirrors, waveguide modes at frequencies out of the PBG can be obtained. These modes are similar to the modes of a conventional dielectric slab waveguide. Using these modes, we can obtain very good coupling between a PBG waveguide and a dielectric slab waveguide with similar slab properties. We discuss the properties of these slab modes and outline the guideline for the optimization of the PBG waveguides based on these properties     

Efficient light transmission through InP-based photonic crystalwaveguides

Very efficient light transmission over a length of several millimetres through linear photonic crystal slab waveguides, patterned into an InGaAlAs waveguiding layer on InP substrate, is demonstrated. Quantitative evaluation of the light propagation in these waveguides, using the Fabry-Perot resonance method, yields a minimum loss of 1.6 dB/mm, for a waveguide with seven missing rows at 1550 nm wavelength     

5/spl times/9 integrated optical star coupler in silicon-on-insulator technology

We describe fabrication of the first optical star coupler in silicon-on-insulator (SOI) technology. The 5/spl times/9 coupler consists of two silicon rib waveguide arrays with a radiative slab waveguide region. The star geometry was analyzed and designed using the beam propagation method. The coupler exhibits low loss (average excess insertion loss /spl alpha//spl sim/1.3 dB) and good coupling uniformity (standard deviation /spl sigma//spl sim/1.4 dB) at /spl lambda/=1.55 /spl mu/m. It represents a key component for realization of photonic circuits in a silicon integrated circuit technology.     

Active/passive-integrated photonic crystal slab /spl mu/-laser

A /spl mu/-laser is monolithically integrated with a passive waveguide in the photonic crystal slab, for the first time. The lasing operation with light extraction from the waveguide with an external quantum efficiency of 8%/facet is demonstrated.     

A rib optical waveguide with cutoff mesa isolation

A rib optical waveguide using the concept of optical cutoff to provide isolation between adjacent waveguides in a photonic integrated circuit is disclosed. Due to the evanescent nature of light propagation in cutoff waveguides, this cutoff mesa rib waveguide permits fabrication of single-moded rib waveguides with minimal self-interference and crosstalk by means of light guided in a remaining slab waveguide. Design rules are given and operation of a single-moded cut-off mesa rib waveguide and an MZI using this waveguide are demonstrated     

光子晶体太赫兹波导的损耗特性

提出了一种新型光子晶体太赫兹(THz)波导,该波导包层为硅介质中含有按三角形格子周期排列的空气孔,纤芯为有机材料聚乙烯(PE).应用平面波法(PWM)分析了这种光子晶体太赫兹波导的带隙结构,研究了空气填充率变化对光子带隙(PBG)结构的影响;然后应用频域有限差分法(FDFD)对不同参数太赫兹波导的损耗进行了计算.结果表明,这是一种适合太赫兹波传输的带隙效应波导,选择较高填充率,较大孔间距,较多周期结构层数可以得到较低的泄漏损耗,选取合适的参数损耗最低值可以达到1.5 dB/km.     

Photonic Crystal Slab Waveguides Based on Antiresonant Reflecting Optical Waveguide Structures

A novel two-dimensional photonic crystal slab waveguide based on an antiresonant reflecting optical waveguide (ARROW) structure is proposed and designed. Lightwaves propagating in this waveguide are confined by antiresonance reflection vertically and the photonic band gap laterally. In order to obtain the characteristics of the ARROW-based photonic crystal waveguides, the three-dimensional finite-difference time-domain simulations are performed. With a lateral adiabatic taper, a coupling efficiency of 80.3% from a single-mode fiber to the ARROW-based photonic crystal waveguide of a single-line defect is obtained. In addition, propagation losses less than 10 dB/mm and bend losses of 0.23 and 0.39 dB/bend for the designed 60$^{circ}$ and 120$^{circ}$ bends are achieved at an operating wavelength of $1.55~mu{hbox {m}}$.      

AlGaAs-based two-dimensional photonic crystal slab with defectwaveguides for planar lightwave circuit applications

An AlGaAs-based near-infrared 2-D photonic crystal (PC) with an air-bridge structure featuring defect waveguides has been developed. For the sample without defect waveguides, measurements of the optical transmission characteristics in the wavelength range from 850 nm to 1100 nm showed a deep attenuation due to a bandgap with 30-35 dB attenuation and transmittance of nearly 100% for the guided modes. Optical propagation properties of defect waveguides were obtained by two methods: measurements of transmission spectra and plan-view observations of the optical beam trace along the waveguide with an infrared-vidicon camera. 3-D finite-difference time-domain simulations for the band structure and transmission spectra in the air-bridge slab with and without defect waveguides have revealed the appearance of four defect propagation modes specific to the defect waveguide, between two slab modes for the defect-free photonic crystal slab. These defect modes were experimentally identified in the measured transmission spectra     

Transmission characteristics of dielectric-coated metallic waveguide for infrared transmission: Slab waveguide model

A metallic hollow waveguide with inner dielectric multilayers is proposed for the transmission of infrared light and its basic transmission characteristics are fully analyzed by using a two-dimensional slab waveguide model. The power loss in the waveguide is shown to be extremely reduced by coating dielectric layers properly. Simple loss formulas are also presented which consider absorptions of dielectric materials, and minimum possible losses are theoretically estimated. Finally, relations to bending losses in the waveguide are discussed.     

Modal analysis of step discontinuities in graded-index dielectricslab waveguides

The modal solutions of the TE- and TM-modes of an arbitrary graded-index dielectric slab waveguide have been derived by applying the generalized telegraphist's equations to the equivalent inhomogeneous parallel-plate waveguide model with electric or magnetic walls. These modal solutions have been employed in a mode-matching procedure to calculate the transmission properties of step discontinuities in arbitrarily graded-index dielectric slab waveguides such as diffused optical waveguides having exponential, Gaussian and complementary error-function index profiles. For slab waveguides containing an abrupt offset, the radiated power is found to increase smoothly with increasing displacement. Power loss calculations for an abrupt change in diffusion depth for which the dominant mode is in the vicinity of cutoff, exhibit a sharp transition from almost zero loss to nearly total radiation loss     

Loss-Induced Confinement in Photonic Crystal Vertical-Cavity Surface-Emitting Lasers

Through calculations and comparison with experimental results, we verify that loss introduced by an etched photonic crystal in a vertical-cavity surface-emitting laser (VCSEL) contributes significantly to the transverse optical confinement and supported modes. The optical loss is examined theoretically using a simple waveguide model from the scalar Helmholtz equation. The modal loss of fabricated lasers is extracted from the observed spectral-mode splitting. The effect of modal loss on the slope efficiency and modal behavior is examined. The model is found to be consistent with experimental measurements, and provides a means of accurate design of single-mode photonic crystal VCSELs.      

Loss reduction in curved dielectric optical slab waveguide

Formulas of the pure bending loss and the transition loss valid for TM modes in dielectric optical slab waveguides are presented. The characteristic of the total transmission loss of a step-index slab waveguide containing a circular bend having an asymmetric waveguide structure are analysed numerically by applying derived loss formulas. It is found that the features of the total transmission loss of TM modes are closely analogous to those of TE modes except for small discrepancies in the numerical values.     

基于光子带隙的双平板太赫兹传输系统研究

研究了一种利用光子晶体带隙特性工作的双平板太赫兹传输系统,它结合了光子晶体波导传输能量集中、损耗低以及双平板波导低色散和单模传输的优点.具体设计了工作在O.32THz的传输系统,研究结果表明:光子晶体双平板波导不但可以实现单模的高效传输,而且也具有良好的输入输出匹配性能.该设计中,采用矩形波导的输入输出结构在316～360 GHz的带宽内可以获得S11<-10 dB的匹配.而且,和普通双平板波导相比更具有结构紧凑、易于集成等优点,因此具有较高的实用价值.     

3-D FEM Modeling and Fabrication of Circular Photonic Crystal Microcavity

In this paper, we study an unconventional kind of quasi-three-dimensional (3-D) photonic crystal (PhC) with circular lattice pattern: it consists of air holes in a GaAs material $({rm n}=3.408)$ along circular concentric lines. This particular PhC geometry has peculiar behavior if compared with the traditional square and triangular lattices, but it is difficult to model by using conventional numerical approaches such as wave expansion method. The resonance and the radiation aspects are analyzed by the 3-D finite-element method (FEM). The model, based on a scattering matrix approach, considers the cavity resonance frequency and evaluates the input–output relationship by enclosing the photonic crystal slab (PhCS) in a black box in order to define the responses at different input–output ports. The scattering matrix method gives important information about the frequency responses of the passive 3-D crystal in the 3-D spatial domain. A high sensitivity of the scattering parameters to the variation of the geometrical imperfection is also observed. The model is completed by the quality factor (Q-factor) estimation. We fabricated the designed circular photonic crystal over a slab membrane waveguide embedding InAs/GaAs quantum dots emitting around 1.28 $mu{hbox{m}}$. Good agreement between numerical and experimental results was found, thus validating the 3-D FEM full-wave investigation.      

含随机介质的光子晶体波导特性

提出了一种光子晶体波导与随机介质相结合的特殊型波导的设计方法。基于光子晶体波导模型,建立了ZnO随机介质作为线缺陷的光子晶体波导模型,采用时域有限差分(FDTD)法分析了ZnO随机介质的加入对光子晶体波导系统的频率特性、时域特性及增益特性的影响,并且与纯随机介质系统和含有线缺陷的光子晶体波导系统进行对比。分析结果表明,当在光子晶体波导的缺陷层引入ZnO随机介质时,随机介质使得光在缺陷处振荡并得到放大,局域化程度比纯随机介质系统和纯光子晶体波导系统更高;且光与随机介质的相互作用使得光在波导中时间延长,激光阈值降低。这种光子晶体波导可用于制备可嵌入到集成光路领域和低阈值的微型激光器。     

Lasing at bend, branch and intersection of photonic crystal waveguides

The authors report room temperature lasing by pulsed photopumping at line and point composite defects, i.e. a 60/spl deg/-bend, a Y-branch and an intersection of single line defect waveguides, in a GaInAsP photonic crystal slab. The lasing wavelength was different from the simple line defect lasing mode. This indicates that such waveguide components act as microcavities with localised modes.     

3-D FDTD Analysis of Gold-Nanoparticle-Based Photonic Crystal on Slab Waveguide

In this paper, metallic photonic crystals (PC) based on 2-D periodic arrays of gold nanoparticles were investigated on indium tin oxide slab waveguides using 3-D finite-difference time domain simulations with nonuniform mesh techniques. The PC effects were studied by changing the lattice constants from 300 to 500 nm. The results obtained indicate that the waveguide-excited plasmon absorption peak of periodic array of gold nanoparticles is tunable from 672 to 707 nm due to the second grating order propagating backward at the grazing angle. The nanoparticle-induced extinction of the waveguide mode was also investigated by varying the slab thickness from 100 to 375 nm. The results show that the extinction peak shifts from 650 to 705 nm. The theoretical results predict that the interactions of the periodic array of gold nanoparticles are strongly affected by the dispersion of the waveguide.