Time-domain constraints for passive materials: The Brendel-Bormann model revisited
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU151727" target="_blank" >RIV/00216305:26220/24:PU151727 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prb/abstract/10.1103/PhysRevB.110.024307" target="_blank" >https://journals.aps.org/prb/abstract/10.1103/PhysRevB.110.024307</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.110.024307" target="_blank" >10.1103/PhysRevB.110.024307</a>
Alternative languages
Result language
angličtina
Original language name
Time-domain constraints for passive materials: The Brendel-Bormann model revisited
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20501 - Materials engineering
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW B
ISSN
2469-9950
e-ISSN
2469-9969
Volume of the periodical
110
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
„024307-1“-„024307-15“
UT code for WoS article
001266673100003
EID of the result in the Scopus database
2-s2.0-85198520785