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Resonances and Fundamental Bounds in Wave Scattering.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Resonances and Fundamental Bounds in Wave Scattering./
作者:	Zhang, Hanwen.
面頁冊數:	1 online resource (152 pages)
附註:	Source: Dissertations Abstracts International, Volume: 84-02, Section: B.
Contained By:	Dissertations Abstracts International84-02B.
標題:	Physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29060600click for full text (PQDT)
ISBN:	9798837552632

Resonances and Fundamental Bounds in Wave Scattering.
Zhang, Hanwen.

Resonances and Fundamental Bounds in Wave Scattering. - 1 online resource (152 pages)

Source: Dissertations Abstracts International, Volume: 84-02, Section: B.

Thesis (Ph.D.)--Yale University, 2022.

Includes bibliographical references

This thesis presents three results in wave scattering, centered around scattering matrices and fundamental limits in scattering responses.First, we develop a new resonance-based construction of scattering matrices in open electromagnetic systems. We use quasinormal modes to develop an exact, ab initio generalized coupled-mode theory from Maxwell's equations. This quasinormal coupled-mode theory, which we denote "QCMT", enables a direct, mode-based construction of scattering matrices without resorting to external solvers or data. We consider canonical scattering bodies, for which we show that a conventional coupled-mode theory model will necessarily be highly inaccurate, whereas QCMT exhibits near-perfect accuracy.Second, for arbitrary scattering matrices, we obtain power-concentration bounds for wave scattering by generalizing classical brightness theorem to wave scattering. We show that power per scattering channel generalizes brightness, and the rank of an appropriate density matrix generalizes ´etendue to states with arbitrary coherence. The bounds apply to nonreciprocal systems that are of increasing interest, and we demonstrate their applicability to maximal control in nanophotonics for metasurfaces and waveguide junctions. Through inverse design, we discover metasurface elements operating near the theoretical limits.Finally, adapting recently developed techniques for electromagnetic-response bounds to quantum dynamics, we develop a general framework for identifying fundamental bounds in quantum control. We show that an integral-equation-based formulation of conservation laws in quantum dynamics leads to fundamental limits for quantum control scenarios. We demonstrate the utility of our bounds in three prototype systems- three-level driving, decoherence suppression, and maximum-fidelity gate implementations - and show that our bounds are tight or nearly so in each case. Global bounds complement local-optimization based designs, illuminating performance levels that may be possible and those that cannot be surpassed.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798837552632Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Brightness theoremIndex Terms--Genre/Form:

542853
Electronic books.

Resonances and Fundamental Bounds in Wave Scattering.
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520 $a This thesis presents three results in wave scattering, centered around scattering matrices and fundamental limits in scattering responses.First, we develop a new resonance-based construction of scattering matrices in open electromagnetic systems. We use quasinormal modes to develop an exact, ab initio generalized coupled-mode theory from Maxwell's equations. This quasinormal coupled-mode theory, which we denote "QCMT", enables a direct, mode-based construction of scattering matrices without resorting to external solvers or data. We consider canonical scattering bodies, for which we show that a conventional coupled-mode theory model will necessarily be highly inaccurate, whereas QCMT exhibits near-perfect accuracy.Second, for arbitrary scattering matrices, we obtain power-concentration bounds for wave scattering by generalizing classical brightness theorem to wave scattering. We show that power per scattering channel generalizes brightness, and the rank of an appropriate density matrix generalizes ´etendue to states with arbitrary coherence. The bounds apply to nonreciprocal systems that are of increasing interest, and we demonstrate their applicability to maximal control in nanophotonics for metasurfaces and waveguide junctions. Through inverse design, we discover metasurface elements operating near the theoretical limits.Finally, adapting recently developed techniques for electromagnetic-response bounds to quantum dynamics, we develop a general framework for identifying fundamental bounds in quantum control. We show that an integral-equation-based formulation of conservation laws in quantum dynamics leads to fundamental limits for quantum control scenarios. We demonstrate the utility of our bounds in three prototype systems- three-level driving, decoherence suppression, and maximum-fidelity gate implementations - and show that our bounds are tight or nearly so in each case. Global bounds complement local-optimization based designs, illuminating performance levels that may be possible and those that cannot be surpassed.
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