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    Analytical expression of giant Goos-Hanchen shift in terms of proper and improper modes in waveguide structures with arbitrary refractive index profile

    , Article Optics Letters ; Volume 35, Issue 11 , 2010 , Pages 1759-1761 ; 01469592 (ISSN) Mehrany, K ; Alishahi, F ; Sharif University of Technology
    2010
    Abstract
    We analytically relate the giant Goos-Hanchen shift, observed at the interface of a high refractive index prism and a waveguide structure with an arbitrary refractive index profile, to the spatial resonance phenomenon. The proximity effect of the high refractive index prism on modal properties of the waveguide is discussed, and the observed shift is expressed in terms of proper and improper electromagnetic modes supported by the waveguide with no prism. The transversely increasing improper modes are shown playing an increasingly important role as the high refractive index prism comes closer to the waveguide  

    Approximate expressions for resonant shifts in the reflection of Gaussian wave packets from two-dimensional photonic crystal waveguides

    , Article Journal of the Optical Society of America B: Optical Physics ; Volume 29, Issue 4 , 2012 , Pages 683-690 ; 07403224 (ISSN) Miri, M ; Khavasi, A ; Alishahi, F ; Mehrany, K ; Rashidian, B ; Sharif University of Technology
    Optical Society of American (OSA)  2012
    Abstract
    In this paper, enhanced spatial and temporal shifts in the reflection of Gaussian wave packets from twodimensional photonic crystal waveguides supporting above-the-light-line leaky modes are studied, for the first time to our best knowledge. Particular attention is given to two important special cases, namely, harmonic Gaussian beams and Gaussian-pulse uniform plane waves. Analytical expressions are given for enhanced spatial and temporal shifts when the stationary phase approximation holds and the incident wave excites above-the-light-line leaky modes. The enhanced spatial and temporal shifts of Gaussian wave packets are thereby related to each other via the group velocity of the excited...