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• W3176847425 endingPage "1842" @default.
• W3176847425 startingPage "1842" @default.
• W3176847425 abstract "We study the problem of a temporal discontinuity in the permittivity of an unbounded medium with Lorentzian dispersion. More specifically, we tackle the situation in which a monochromatic plane wave forward-traveling in a (generally lossy) Lorentzian-like medium scatters from the temporal interface that results from an instantaneous and homogeneous abrupt temporal change in its plasma frequency (while keeping its resonance frequency constant). In order to achieve momentum preservation across the temporal discontinuity, we show how, unlike in the well-known problem of a nondispersive discontinuity, the second-order nature of the dielectric function now gives rise to two shifted frequencies. As a consequence, whereas in the nondispersive scenario the continuity of the electric displacement <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=m1> <mml:mi mathvariant=bold>D</mml:mi> </mml:math> and the magnetic induction <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=m2> <mml:mi mathvariant=bold>B</mml:mi> </mml:math> suffices to find the amplitude of the new forward and backward wave, we now need two extra temporal boundary conditions. That is, two forward and two backward plane waves are now instantaneously generated in response to a forward-only plane wave. We also include a transmission-line equivalent with lumped circuit elements that describes the dispersive time-discontinuous scenario under consideration." @default.
• W3176847425 created "2021-07-05" @default.
• W3176847425 creator A5008937503 @default.
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• W3176847425 date "2021-08-26" @default.
• W3176847425 modified "2023-10-01" @default.
• W3176847425 title "Time-varying materials in the presence of dispersion: plane-wave propagation in a Lorentzian medium with temporal discontinuity" @default.
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• W3176847425 doi "https://doi.org/10.1364/prj.427368" @default.
• W3176847425 hasPublicationYear "2021" @default.
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