New Criterion for Designing Silica Multimode Interference Power Splitters

We introduce a new criterion for designing 1 × N silica multimode interference power splitters using overlapping-image multimode interference analysis. This criterion requires that widths of multimode waveguides in the devices should be greater than 2 times the product of port number N and effective widths of output waveguides. Better device uniformity can be achieved when the new criterion is satisfied.     

N × N集成光开关阵列模型

报道了由2N个1 × N 多模干涉马赫-曾德尔光开关组成的N × N光开关阵列结构,分析了这种结构的开关阵列优势和局限性.用场传输矩阵方法建立了1 × N多模干涉光开关的光场传输方程.给出了光开关阵列从任一输入端输入、从任一输出端输出时阵列开关的工作条件.在上述原理及理论基础上分析了4×4光开关阵列的结构和工作条件.     

Anomalous group delay in optical fibres

It is shown, by means of computation on a specific model, how pulse broadening in multimode gradedindex optical waveguides is significantly affected by the levels of excitation of the high-order modes. Pulse widths are computed as functions of the profile parameter, under conditions of equal excitation, high-order mode suppression and GaAs laser excitation.     

Optimization of non-ideal multimode interference devices

Multimode interference devices are examined outside of the step-index, paraxial regime. To determine the optimum length of these devices, we maximize the projection of the propagated field in the multimode section onto the desired field profile. By consideration of the orthogonality among the guided modes, this reduces to a criterion of minimum weighted phase errors at the imaging plane, with no dependence on the actual mode field profiles. The results are confirmed by comparison with mode propagation analysis simulations. This analysis is immediately applicable to the design of multimode interference devices in weakly-guiding geometries such as shallow ridge waveguides, weakly-guiding materials systems such as photosensitive glasses and polymers, and waveguides with graded claddings and/or weak index gradients in the core, such as those formed through diffusive processes. The procedure is also used to explain the presence of the recently observed pseudo-self-image, which is not predicted by the standard theory of multimode interference.     

Numerical evaluation of the impulse response of multimode optical fibers

Abstract

A numerical technique based on ray optics is presented that provides the impulse response of multimode optical fibers having arbitrary smooth index profiles and arbitrary material dispersion. The variation of dn/dλ ₀ as a function of n when the dopant concentration varies is obtained from Fleming⁽¹⁾ measurements on bulk samples. This technique is applied to germania-doped multimode fibers with power-law profiles and various values of Δ ≡ Δn/n Previous results⁽²⁾ are shown to be invalid when Δ ? 0.005. By successive approximations, optimum profiles that minimize the impulse response widths for quasi-monochromatic sources are found. For these optimum profiles, the quasi-monochromatic root-mean-square (rms) impulse response width is found to be of the order of 150 Δ²nsec/km, in agreement with a recent analytical result.⁽³⁾     

Two-photon path-entangled states in multimode waveguides

We experimentally show that two-photon path-entangled states can be coherently manipulated by multimode interference in multimode waveguides. By measuring the output two-photon spatial correlation function versus the phase of the input state, we show that multimode waveguides perform as nearly ideal multiport beam splitters at the quantum level, creating a large variety of entangled and separable multipath two-photon states.     

Optimal design for a flat-top AWG demultiplexer by using a fast calculation method based on a Gaussian beam approximation

Passband broadening of an AWG (array waveguide grating) demultiplexer with an MMI (multimode interference) coupler connected at the end of a tapered input waveguide is considered. An explicit formula based on the field propagation of an approximate Hermit-Gaussian beam is used to calculate quickly and reliably the spectral response of the AWG demultiplexer. The widths of the input waveguide, the output waveguides and the MMI coupler are optimized. The optimal design is verified with the experimental measurement.     

多模复共轭虚偶相干态光场的等阶N次方Y压缩与等阶N次方H压缩

本文利用新近建立的多模压缩态理论,详细研究了一种新型的多模复共轭虚偶相干态光场|Ψ_i,e^*(2)>_q的广义非线性等阶N次方Y压缩与等阶N次方H压缩特性.结果发现:1)当压缩阶数N为奇数时,态Ψ_i,e^*(2)>_q在一定条件下总可呈现出周期性变化的、任意阶的等阶N次方Y压缩效应;当腔模总数q与压缩阶数N两者之乘积q·N为奇数时,则在一定条件下态|Ψ_i,e^*(2)>_q又可呈现出周期性变化的、任意阶的等阶N次方H压缩效应.2)态|Ψ_i,e^*(2)>_q与多模偶相干态光场|Ψ_i,e^*(2)>_q与多模虚偶相干态光场|Ψ_i,e⁽²⁾>_q的压缩幅度、压缩条件和压缩特征等完全相同.这一结果再次从理论上证实了多模压缩光中的确存在着“相反压缩”和“压缩简并”这两类新的物理现象.     

Fabrication of multimode interference waveguides in glass by use of a femtosecond laser

We report on the fabrication of multimode interference (MMI) waveguides that split single-mode light into multimode light in synthesized silica by use of femtosecond laser pulses. The number of modes at the output facet is dependent on both the width and the length of the MMI waveguides. The output spectral responses of the MMI waveguides in the visible region were examined. The fabricated MMI waveguides can be used as compact power splitters with large fan-outs.     

基于全内反射光子晶体多模波导偏振无关型光分束器

研究了全内反射在光子晶体多模波导中的作用,利用常规的耦合模理论对对称入射时的多模干涉行为和自映射现象进行了讨论和分析.研究表明,输入光场依然能沿着多模导光区高效的传输,这种结构中的光场传输是由全内反射和布喇格反射的联合作用而决定的.设计了一种全内反射偏振无关型光分束器,这种分束器在集成光学中具有重大的潜在应用价值.     

Multimode-Waveguide-Based Optical Power Splitters in Glass

Low-loss glass-based buried multimode waveguides are fabricated by using the field-assisted Ag＋-Na＋ ionexchange technique, and multimode optical power splitters are investigated. The measured loss of the multimode waveguides is lower than 0.1 dB/cm, and the additional loss of the multimode optical power splitters is lower than 1.3 dB under the uniform splitting condition.     

一般1×N的MMI成像位置和相位关系

根据多模干涉器(MMI)的自映像原理,讨论了一般1×N多模干涉器件的成像位置和相位关系,并用导模传输法验证了分析结果,一般的成像位置和相对相位关系同原像的初始位置密切相关.     

态|Ψ(3)〉q中广义磁场的不等幂次高次振幅压缩

利用多模压缩态理论,研究了一种新型的三态叠加多模叠加态光场|Ψ⁽³⁾〉_q中广义磁场分量(即第一正交相位分量)的不等幂次高次振幅压缩特性.结果表明:态|Ψ⁽³⁾〉_q是一种典型的三态叠加多模非经典光场,其广义磁场分量在一定条件下可呈现出周期性变化的、偶数次的不等幂次高次振幅压缩效应.     

态|ψ3(3)〉q广义电场分量的等幂次N次方H压缩

构造了由多模复共轭相干态|{iZ_j^*}〉_q、多模复共轭虚相干态|{iZ_j^*}〉_q(j=1,2,…q)和多模真空态|{0_j}〉_q线性叠加所组成的第Ⅲ类三态叠加多模叠加态光场|ψ₃⁽³⁾〉_q.利用多模压缩态理论,研究了态|ψ₃⁽³⁾〉_q中广义电场分量(即第二正交相位分量)的广义非线性等幂次N次方H压缩特性.发现:态|ψ₃⁽³⁾〉_q是一种典型的三态叠加多模非经典光场;当腔模总数q与压缩次数N之积q·N为偶数时,在一定条件下,态|ψ₃⁽³⁾〉_q的广义电场分量可分别呈现出周期性变化的广义非线性等幂次奇数模-偶数次、偶数模-奇数次、偶数模-偶数次N次方H压缩效应.     

采用三维波束传输法的多模干涉耦合器成像位置的数值计算

多模干涉(MMI)耦合器需要精确定位成像位置,以便器件的设计制作。针对强限制和弱限制的三维多模波导干涉耦合器,采用三维交替方向隐式有限差分光束传输法(BPM),数值计算得出多模波导长度、输入波导和输出波导位置。首先通过对对称干涉多模干涉耦合器的数值分析求得多模干涉耦合器的等效宽度Weq及最低二阶模之间的拍长Lc,然后将这些参量结合光束传输法直接用于器件设计。计算显示该方法得到的成像位置和导模传输分析法(MPA)的理论预测比较接近,但Weq和Lc却是由光束传输法计算得到的,导模传输分析法理论只能在得到Weq和Lc的前提下才能得到成像位置。该方法直接针对三维波导进行,没有采用基于等效折射率方法的从三维波导到二维波导的简化处理,并且也没有采用导模传输分析法所采用的近似,保证了计算精度,对于实际多模干涉器件的设计制作可起参考作用。     

Ultrasmall optical logic gates based on silicon periodic dielectric waveguides

An ultrasmall silicon periodic dielectric waveguides-based multimode interference all-optical logic gate has been proposed. The device consists of three 205 nm wide single-mode input waveguides, a 1.1 μm wide and 5.5 μm long multimode interference waveguide, and three 205 nm wide single-mode output waveguides. The total length and width of the device are 13.7 μm and 3.2 μm, respectively. By changing the states of the input optical signals and/or control signals launched into the device, multifunctional logic functions including OR, NAND, NOR, and NOT gates are performed, and each logic function can be realized at a specific output waveguide in accordance with the launched control signals. The ultrasmall multifunctional logic device has potential applications in high density photonic integrated circuits.     

四态叠加多模光场的等幂次N次方H压缩

根据量子力学中的线性叠加原理,构造了由奇、偶相干态光场所组成的一种新型的四态叠加多模叠加态光场|Ψ_o,e⁽⁴⁾Ⅲ〉_q.它是由多模虚奇相干态和多模虚偶相干态这两者的线性叠加所组成的.利用多模压缩态理论详细研究了态|Ψ_o,e⁽⁴⁾Ⅲ〉_q的等幂次N次方H压缩特性.结果发现:当腔模总数q与压缩次数N的乘积为奇数时,若各模初始相位和qj＝1φ_j、态间叠加几率幅γ_o、γ_e以及态间相位差θ_e-θ_o等相关参量满足一定的不同条件时,态|Ψ_o,e⁽⁴⁾Ⅲ〉_q可分别呈现以下非经典效应:i)等幂次N次方H压缩;ii)"半相干态"效应.     

一种新型的多模虚偶相干态光场的等阶N次方Y压缩与等阶N次方H压缩

本文利用新近建立的多模压缩态理论,详细研究了一种新型的多模虚偶相干态光场|Ψ_i,e⁽²⁾>_q的广义非线性等阶N次方Y压缩与等阶N次方H压缩特性.结果发现:1)态|Ψ_i,e⁽²⁾>_q是一种典型的多模非经典光场,当压缩阶数N为奇数时,态|Ψ_i,e⁽²⁾>_q在一定条件下总可呈现出周期性变化的、任意阶的等阶N次方Y压缩效应;当腔模总数q与压缩阶数N这两者的乘积q·N为奇数时,则在一定条件下态|Ψ_i,e⁽²⁾>_q又可呈现出周期性变化的、任意阶的等阶N次方H压缩效应.2)态|Ψ_i,e⁽²⁾>_q的等阶N次方Y压缩与等阶N次方H压缩效应这两者的压缩程度和压缩深度分别与几率幅γ_q^(e)、压缩参数R_j、各模的初始相位φ_j(或者各模的初始相位和 φ_j)、压缩阶数N以及腔模(指纵模)总数q等呈较强的非线性关联,等阶N次方H压缩效应与上述诸参量之间的非线性关联程度要比等阶N次方Y压缩效应的更强.3)多模虚偶相干态光场|Ψ_i,e⁽²⁾>_q与多模偶相干态光场|Ψ_,e>_q及多模复共轭偶相干态光场|Ψ*_,e⁽²⁾>_q这后两者的等阶N次方Y压缩效应和等阶N次方H压缩效应的压缩条件和压缩特性正好相反,这种现象就称为相反压缩.     

A three-channels WDM based on MMI in photonic crystal

A photonic crystal waveguide coupling structure can be constructed by putting three adjacent photonic crystal waveguides in parallel. Guided mode propagation method is employed to analyze the interference behavior of the approximate solution in such a coupling and the self-image phenomenon in multi-mode waveguides. A three-channel multimode interference wavelength division multiplexing can be obtained. The presented device has a high transmission rate as well as the advantage of multi-wavelength selection, thus it may have a potentially practical application in future photonic integrated circuit.     

三平行光子晶体单模波导的耦合特性及其应用

将三光子晶体单模波导的相互耦合看成一个多模干涉系统.本征模的色散曲线相交或近于相交并出现简并模，简并模之间存在强烈耦合并导致模式的分布方式发生转变.多模干涉系统中，不同波长的光波能量在传输过程中由于相干而具有不同的空间输出行为，在近简并点处多模之间的相干解除，能流限制在原输入方向，不发生转移.三光子晶体单模光波导的这种特性可用来制作波分复用或解复用器件. 关键词： 光子晶体波导 简并模 多模干涉 波分复用或解复用