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
    8.
    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 。