Generalized laws of reflection and refraction from real valued boundary conditions |
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| Authors: | Jiangwei Chen Huaixian Lu |
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| Institution: | 1. School of Electronic Science and Engineering, Nanjing University of Posts & Telecommunications, Nanjing 210003, PR China;2. School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, PR China;1. Department of Polymer Science and Engineering, Inha University, Incheon 402-751, South Korea;2. Department of Chemical Engineering, Kangwon National University, Samcheok 245-711, South Korea;1. Department of Chemistry, Vivekanandha College of Engineering for women, Namakkal, Tamil Nadu, India;2. Department of Chemistry, Government Arts College, Udumalpet 642 126, Tamil Nadu, India;3. Department of Biotechnology, School of Life Sciences, Karpagam University, Eachanari Post, Coimbatore 641 021, Tamil Nadu, India |
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| Abstract: | The generalized Snell's laws are usually derived from phase-matching condition by using harmonic inhomogeneous plane waves. The inhomogeneity makes it difficult to trace curves of energy flow. Here we show that, at a lossy interface, real valued boundary conditions are valid universally. Thus a time-dependent way is developed to directly derive generalized laws of reflection and refraction from real valued boundary conditions by using harmonic homogeneous plane waves. Finally, several novel properties of transmitted wave associated with energy losses are predicted numerically, which may be applied to experimentally test our theoretical analysis. |
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