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arXiv 1802.02236physics.optics
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利用相位-振幅方程设计无散射各向同性折射率剖面

Designing scattering-free isotropic index profiles using phase-amplitude equations

Chris King, Simon Horsley, Thomas Philbin

摘要:

亥姆霍兹方程可以写成振幅和相位的耦合方程。通过考虑对应于平面内无反射波传播的空间相位分布,并根据该相位求解振幅,我们设计了不散射光的二维梯度折射率介质。我们给出两个说明性的例子,其中第一个是周期性光栅,其衍射在垂直入射到周期性的单个频率处被完全抑制。第二个例子是在单一频率下表现为“波束移位器”的介质;作用是横向移位平面波或足够宽的波束,而没有反射。

英文摘要:

The Helmholtz equation can be written as coupled equations for the amplitude and phase. By considering spatial phase distributions corresponding to reflectionless wave propagation in the plane and solving for the amplitude in terms of this phase, we designed two-dimensional graded-index media which do not scatter light. We give two illustrative examples, the first of which is a periodic grating for which diffraction is completely suppressed at a single frequency at normal incidence to the periodicity. The second example is a medium which behaves as a 'beam shifter' at a single frequency; acting to laterally shift a plane wave, or sufficiently wide beam, without reflection.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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