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Fresnel-Snell law is violated if there exists dielectric loss in transmitted media. To overcome this problem, we extend angle of refraction from real number to complex. By this 'complex-angle approach' we analyse light on interface between lossy dielectrics and lossless dielectrics. We reveal that dielectric loss open the iso-frequency curve of the transmitted light in wavenumber space, while the curve is closed in the lossless condition ('Lifshitz transition' of light). Once this transition occurs, the momentum of the light exceeds the maximum in the case of lossless interfaces, and anomalous transverse spin emerges. This novel state of light produced by dielectric loss will pave the way for new-generation optical trapping and manipulation.
Daigo Oue
"Dielectric loss induced excess momentum and anomalous spin of light", Proc. SPIE 10935, Complex Light and Optical Forces XIII, 109350D (1 March 2019); https://doi.org/10.1117/12.2503156
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Daigo Oue, "Dielectric loss induced excess momentum and anomalous spin of light," Proc. SPIE 10935, Complex Light and Optical Forces XIII, 109350D (1 March 2019); https://doi.org/10.1117/12.2503156