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Transit times of radiation through photonic bandgap materials: Pulse reshaping of classical and quantum fields in the time domain

Martin Ligare·Aaron Gee-Clough·Charles Doersam
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Abstract

We study the propagation of electromagnetic pulses through photonic bandgap materials and relate time-domain pulse reshaping to observable transit times. For layered dielectric mirrors we demonstrate how pulse reshaping of slowly varying classical fields results in transit-time delays that are equivalent to the group delay. The time-domain analysis emphasizes the causal origin of negative group delays. We also study an analogous fully-quantized model and show how the same time-domain analysis may be used to interpret observed delays of single-photon fields.

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Martin Ligare, Aaron Gee-Clough, Charles Doersam. 2002-10-21. Transit times of radiation through photonic bandgap materials: Pulse reshaping of classical and quantum fields in the time domain. https://arxiv.org/abs/physics/0210064

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