Synthesis of supergratings by fourier methods

    公开(公告)号:US06657786B2

    公开(公告)日:2003-12-02

    申请号:US10144892

    申请日:2002-05-13

    IPC分类号: G02B2746

    摘要: The present invention relates to a method for synthesizing supergratings using Fourier analysis. The method divides the synthesis process into two stages: synthesis of an “analog” grating profile, followed by a quantization step. The method provides a generalized procedure for analog synthesis by drawing on the Fourier approximation and on finite-impulse-response (FIR) filter design theory, while it interprets the simple threshold quantization as a “zeroth order” Delta-Sigma Modulator, which it improves. The method of designing a supergrating for a waveguide includes providing a reflectance spectrum in at least one spectral band to be produced by a supergrating in a waveguide, the reflectance spectrum having specified reflectance features, transforming the reflectance spectrum to a Fourier domain representation having Fourier-domain features, computationally synthesizing an analog refractive index profile corresponding to the Fourier-domain representation and transforming the analog refractive index profile to a binary or multi-level refractive index profile representation in such a way as to conserve Fourier-domain information within the spectral band.

    Synthesis of supergratings by fourier methods
    4.
    发明授权
    Synthesis of supergratings by fourier methods 失效
    通过傅立叶方法合成超级光栅

    公开(公告)号:US06415081B1

    公开(公告)日:2002-07-02

    申请号:US09633343

    申请日:2000-08-04

    IPC分类号: G02B634

    摘要: The present invention relates to a method for synthesizing supergratings using Fourier analysis. The method divides the synthesis process into two stages: synthesis of an “analog” grating profile, followed by a quantization step. The method provides a generalized procedure for analog synthesis by drawing on the Fourier approximation and on finite-inpulse-response (FIR) filter design theory, while it interprets the simple threshold quantization as a “zeroth order” Delta-Sigma Modulator, which it improves. The method of designing a supergrating for a waveguide includes providing a reflectance spectrum in at least one spectral band to be produced by a supergrating in a waveguide, the reflectance spectrum having specified reflectance features, transforming the reflectance spectrum to a Fourier domain representation having Fourier-domain features, computationally synthesizing an analog refractive index profile corresponding to the Fourier-domain representation and transforming the analog refractive index profile to a binary or multi-level refractive index profile representation in such a way as to conserve Fourier-domain information within the spectral band.

    摘要翻译: 本发明涉及一种使用傅里叶分析合成超级光栅的方法。 该方法将合成过程分为两个阶段:合成“模拟”光栅轮廓,随后进行量化步骤。 该方法通过利用傅立叶近似和有限脉冲响应(FIR)滤波器设计理论提供了模拟合成的一般化过程,同时将简单阈值量化解释为“零阶”Δ-Σ调制器,其改进 。 设计用于波导的超级光栅的方法包括:在至少一个光谱带中提供由波导中的超级光栅产生的反射光谱,反射光谱具有特定的反射特征,将反射光谱转换为具有傅立叶变换的傅立叶域表示, 域特征,计算合成对应于傅立叶域表示的模拟折射率分布,并将模拟折射率分布变换为二进制或多电平折射率分布表示,以便节省频谱带内的傅立叶域信息 。

    Self-collimating multiwavelength lasers
    8.
    发明授权
    Self-collimating multiwavelength lasers 失效
    自准直多波长激光器

    公开(公告)号:US06289032B1

    公开(公告)日:2001-09-11

    申请号:US09292663

    申请日:1999-04-16

    IPC分类号: H01S308

    摘要: The present invention provides self-collimating multiwavelength lasers (MWL) including a planar gain medium with a resonance cavity defined by superimposed gratings. These laser devices are characterized by lasing wavelengths with multiple peaks in their reflectance spectra defined by the superimposed gratings. The gratings also limit beam divergence, producing self-collimated multiwavelength output, with the potential for high power. These devices can be implemented in any planar gain medium in which multi-peak gratings can be produced, including but not limited to semiconductors and doped glasses. The self-collimated MWL's disclosed herein have applications in areas such as DWDM (dense wavelength division multiplexing) communications systems, free-space uses such as interconnects, range-finding, and inter-satellite infrared communication. In one aspect the device is a multiwavelength ring cavity laser including a planar gain medium with two orthogonal pairs of supergratings (SG) A and B, which emulate the superposition of M and N single-pitch gratings respectively. SG-A has a set of M diffraction wavelengths that depends on the incident angle &thgr;; a similar dependence on &phgr;=&thgr;−90° exists for the set of N diffraction wavelengths of SG-B. Wavelength-angle pairs common to both SG-A and SG-B will be resonant within the cavity as a whole. When combined with optical gain, the result is lasing at M by N wavelengths, collimated at a well-defined output angle.

    摘要翻译: 本发明提供了自准直多波长激光器(MWL),其包括具有由叠加光栅限定的谐振腔的平面增益介质。 这些激光器件的特征在于在由叠加的光栅限定的反射光谱中具有多个峰的激光波长。 光栅也限制光束发散,产生自准直多波长输出,具有高功率的潜力。 这些器件可以在可以产生多峰光栅的任何平面增益介质中实现,包括但不限于半导体和掺杂的玻璃。 本文公开的自准直MWL在诸如DWDM(密集波分复用)​​通信系统,诸如互连,测距和卫星间红外通信的自由空间使用等领域中有应用。 在一个方面,该器件是包括具有两个正交对超级光栅(SG)A和B的平面增益介质的多波长环形腔激光器,其分别模拟M和N个单间距光栅的叠加。 SG-A具有取决于入射角θ的一组M衍射波长; 对于SG-B的N个衍射波长的集合存在与phi =θ-90°相似的依赖性。 SG-A和SG-B共同的波长角对将作为一个整体在谐振腔内共振。 当与光学增益结合时,结果是在M个N波长处发射,在明确的输出角度准直。