Wavelet interactions with dispersive and lossy media

Alexander V. Shvartsburg

doi:10.1117/12.205406

6 April 1995 Wavelet interactions with dispersive and lossy media

Alexander V. Shvartsburg

Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205406
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

Time-domain electrodynamics of dispersive and lossy media is advanced by means of new exact explicit solutions of Maxwell equations, obtained beyond the scope of traditional Fourier expansions. These non-stationary solutions describe the fast dispersive spreading and attenuation of unharmonic fields in these media without using traditional concepts of frequency, wavelength, decrement, attenuation length, etc. Using orthogonal Laguerre transients for description of arbitrary waveforms, incidenting on the interfaces of dispersive and absorbing media, we find analytically the simple expressions for coefficients of waveforms reflection from wide classes of dielectric and conducting materials.

Citation Download Citation

Alexander V. Shvartsburg "Wavelet interactions with dispersive and lossy media", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205406

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