• Photonics Research
  • Vol. 6, Issue 11, 1003 (2018)
Lei Chen and Keng C. Chou*
Author Affiliations
  • Department of Chemistry, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
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    DOI: 10.1364/PRJ.6.001003 Cite this Article Set citation alerts
    Lei Chen, Keng C. Chou. Revisiting the absorption and transmission properties of coupled open waveguides[J]. Photonics Research, 2018, 6(11): 1003 Copy Citation Text show less

    Abstract

    Open waveguides are widely used in modern photonic devices, such as microstructured fiber filters and sensors. Their absorption and transmission spectra are the most important properties in determining the overall performance of the photonic devices. The imaginary parts of their eigenvalues have been commonly used to calculate the absorption and consequently the transmission spectra. Here we show that this formulism is generally incorrect and not consistent with the simulation results obtained by the beam propagation method. We revisit the fundamental theory for the absorption of open waveguides and present a general formulism. We found that parity-time-symmetry transitions, which have been conventionally ignored, play a critical role in the properties of the coupled waveguide. The absorption and transmission are highly dependent on the physical length of the system. On the basis of our findings, optimization criteria for designing photonic sensors and filters are presented.
    H^=ωn1aa+ωn2bb+g(ab+ba),(1)

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    [a˙b˙]=iωM[ab],(2)

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    M=[n1G12G21n2],(3)

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    M=PΛP1,(4)

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    [a(t)b(t)]=K[a(0)b(0)],(5)

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    Ia=aaandIb=bb.(6)

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    α=20ln(10)×2πλ×Im(n±).(7)

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    Lei Chen, Keng C. Chou. Revisiting the absorption and transmission properties of coupled open waveguides[J]. Photonics Research, 2018, 6(11): 1003
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