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Correcting the formalism governing Bloch Surface Waves excited by 3D Gaussian beams

机译：纠正通过3D高斯光束激发的光盘表面波的形式主义

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Due to the growing number of publications and applications based on the exploitation of Bloch Surface Waves and the numerous errors and approximations that are used to evaluate their properties, we judge important for the successful interpretation and understanding of experiments to implement an adapted formalism allowing to extract the relevant information. Through comprehensive calculations supported by an analytical development, we establish generalized formula for the propagation length and the Goos-Hänchen shift, which are different from what is usually employed in the literature. The relative errors in the estimation of these two quantities are evaluated to vary between 50% and 200%. The effect due to a slight deviation of the angle of incidence or of the beam-waist position with respect to the structure are studied showing high effects on the Bloch Surface Waves properties. This formalism is adapted to any polarization-dependent Lorentzian-shape resonant structures illuminated by a polarized Gaussian beam. Theoretical models capable of accurately capturing the behaviour of plasmonic, Bloch surfaces waves are vital for the interpretation of experimental results. Here, the authors demonstrate the importance of extrinsic factors in determining the Goos-Hänchen shift in a generalised model of the propagation length.
机译：由于越来越多的出版物和基于开发光盘表面波的应用以及用于评估其性质的许多误差和近似，我们判断重要的解释和理解实验，以实施适应性的形式主义允许提取相关信息。通过分析开发支持的综合计算，我们建立了广泛的公式，用于传播长度和GOOS-Hänchen转变，这与文献中通常使用的流量不同。估计这两种量的相对误差评估为50％和200％的变化。研究了由于相对于该结构的入射角或梁腰部位置的略微偏差而导致的效果显示在所述波纹表面波属性上的高效果。这种形式主义适用于由偏振高斯光束照射的任何偏振依赖性洛伦出谐振结构。能够准确地捕获等离子体的行为的理论模型，Bloch表面波的行为对于对实验结果的解释至关重要。在这里，作者展示了外在因素在传播长度的广义模型中确定了GOOS-Hänchen转变的重要性。

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