• Photonics Research
  • Vol. 6, Issue 8, A43 (2018)
Constantinos Valagiannopoulos* and Vassilios Kovanis
Author Affiliations
  • Department of Physics, School of Science and Technology, Nazarbayev University, 53 Qabanbay Batyr Ave, Astana KZ-010000, Kazakhstan
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    DOI: 10.1364/PRJ.6.000A43 Cite this Article Set citation alerts
    Constantinos Valagiannopoulos, Vassilios Kovanis. Engineering the emission of laser arrays to nullify the jamming from passive obstacles[J]. Photonics Research, 2018, 6(8): A43 Copy Citation Text show less

    Abstract

    Non-Hermitian characteristics accompany any photonic device incorporating spatial domains of gain and loss. In this work, a one-dimensional beam-forming array playing the role of the active part is disturbed from the scattering losses produced by an obstacle in its vicinity. It is found that the placement of the radiating elements leading to perfect beam shaping is practically not affected by the presence of that jammer. A trial-and-error inverse technique of identifying the features of the obstacle is presented based on the difference between the beam target pattern and the actual one. Such a difference is an analytic function of the position, size, and texture of the object, empowering the designer to find the feeding fields for the lasers giving a perfect beam forming. In this way, an optimal beam-shaping equilibrium is re-established by effectively cloaking the object and nullifying its jamming effect.
    Eback(x,y)=m=MMFmH0(2)(k0a)H0(2)[k0(xmL)2+y2],(1)

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    Escat(R,ϕ)=u=UUCuHu(2)(k0R)ejuϕ,(2)

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    Cu=Bum=MMFmHu(2)(k0Rm)ejuϕm,(3)

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    G(φ)=m=MMFm[ejk0LmcosφH0(2)(k0a)+u=UUjuBuHu(2)(k0Rm)ejuϕmej(uφ+k0xbcosφ+k0ybsinφ)].(4)

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    Sbacknm=J0[k0L(mn)],(5)

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    Sscatnm=H0(2)(k0a)πu=UUHu(2)(k0Rm)ejuϕmQu(n),(6)

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    Vn=H0(2)(k0a)π0πG˜(φ)ejk0Lncosφdφ,(7)

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    umaxMk0L3.(8)

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    error=0π|G˜(φ)G(φ)|dφ0π(|G˜(φ)|+|G(φ)|)dφ.(9)

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    Constantinos Valagiannopoulos, Vassilios Kovanis. Engineering the emission of laser arrays to nullify the jamming from passive obstacles[J]. Photonics Research, 2018, 6(8): A43
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