Method of integral equations for ultrafast pulses and its application to the polariton resonance of GaAs

Cs Benedek, M. G. Benedict, T. Serényi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Instead of using a frequency-dependent refractive index, we propose to use the integrodifferential equation approach to describe reflection and transmission of an ultrashort pulse passing through the system's boundary. This method, which is an adaptation of the extinction theorem for ultrafast pulses, explicitly follows time and space evolution without the slowly varying envelope approximation. When the duration of the pulse is comparable with the relaxation time, the results differ significantly from those given by the traditional method (Fresnel formulas), especially if the carrier frequency is close to an absorption line. We compare the two approaches, using the data of GaAs in the infrared domain where pulses of only a few cycles are available experimentally. We also work out a method that efficiently includes the background refractive index that originates from electronic transitions.

Original languageEnglish
Pages (from-to)1949-1955
Number of pages7
JournalJournal of the Optical Society of America B: Optical Physics
Volume18
Issue number12
DOIs
Publication statusPublished - Dec 2001

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

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