Detail publikace

Time-domain constraints for passive materials: The Brendel-Bormann model revisited

NORDEBO, S. ŠTUMPF, M.

Originální název

Time-domain constraints for passive materials: The Brendel-Bormann model revisited

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This paper presents a systematic approach to derive physical bounds for passive systems, or equivalently for positive real (PR) functions, directly in the time-domain (TD). As a generic, canonical example we explore the TD dielectric response of a passive material. We will furthermore revisit the theoretical foundation regarding the Brendel-Bormann (BB) oscillator model which is reportedly very suitable for the modeling of thin metallic films in high-speed optoelectronic devices. To this end, an important result here is to re-establish the physical realizability of the BB model by showing that it represents a passive and causal system. The theory is based on Cauer's representation of an arbitrary PR function together with associated sum rules (moments of the measure) and exploits the unilateral Laplace transform to derive rigorous bounds on the TD response of a passive system. Similar bounds have recently been reported for more general casual systems with other a priori assumptions. To this end, it is important to note here that the existence of useful sum rules and related physical bounds rely heavily on an assumption about the PR functions having a low- or high-frequency asymptotic expansion at least of odd order 1. As a particular numerical example, we consider here the electric susceptibility of gold (Au) which is commonly modeled by well established Drude or BB models. Explicit physical bounds are given as well as an efficient fast-Fourier transform-based numerical procedure to compute the TD impulse response associated with the nonrational BB model.

Klíčová slova

Passive materials; Passive systems; Positive real functions; Sum rule; Time domain; Time domain constraints; Laplace transform; Brendel-Bormann oscillator model

Autoři

NORDEBO, S.; ŠTUMPF, M.

Vydáno

9. 7. 2024

Nakladatel

American Physical Society

Místo

College Park, Maryland, United States

ISSN

2469-9969

Periodikum

PHYSICAL REVIEW B

Ročník

110

Číslo

2

Stát

Spojené státy americké

Strany od

024307-1

Strany do

024307-15

Strany počet

15

URL

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