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Supersymmetry in Optics and Acoustics: From Continuous Supersymmetric Transformation in Optics to Supersymmetric Isophase Acoustic Potentials / Jieun Yim.

Dissertations & Theses @ University of Pennsylvania Available online

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Format:
Book
Thesis/Dissertation
Author/Creator:
Yim, Jieun, author.
Contributor:
University of Pennsylvania. Materials Science and Engineering, degree granting institution.
Language:
English
Subjects (All):
Optics.
Acoustics.
Materials science.
Quantum physics.
Materials Science and Engineering--Penn dissertations.
Penn dissertations--Materials Science and Engineering.
Local Subjects:
Optics.
Acoustics.
Materials science.
Quantum physics.
Materials Science and Engineering--Penn dissertations.
Penn dissertations--Materials Science and Engineering.
Physical Description:
1 online resource (114 pages)
Distribution:
Ann Arbor : ProQuest Dissertations & Theses, 2023
Contained In:
Dissertations Abstracts International 85-08B.
Place of Publication:
[Philadelphia, Pennsylvania] : University of Pennsylvania, 2022.
Language Note:
English
Summary:
The principles of supersymmetry, originally describing the symmetry between bosons and fermions, provide us with a mathematical tool to reshape arbitrary potentials without losing their symmetry, a concept known as isospectrality. Here, we demonstrate a new transformation paradigm in optics and acoustics based on the invariance of the eigenspectra of the Hamiltonian of a physical system, enabled by supersymmetry. First, by creating an optical gradient-index metamaterial to control local index variations in a family of isospectral optical potentials, we demonstrate broadband continuous supersymmetric transformations in optics on a silicon chip. This allows us to simultaneously transform the transverse spatial characteristics of multiple optical states, enabling arbitrary steering and switching of light flows. Second, by constructing a rigid acoustic material capable of realizing spatially varying indices of airborne sound, we show that the scattering of sound waves through the metamaterial can be effectively controlled using supersymmetry. Through a novel synergy of symmetry physics and metamaterials, our work provides an adaptable strategy to conveniently manipulate the flow of both light and sound while fully exploiting their spatial degrees of freedom.
Notes:
Source: Dissertations Abstracts International, Volume: 85-08, Section: B.
Advisors: Feng, Liang; Committee members: Engheta, Nader; Agarwal, Ritesh; Yang, Shu.
Department: Materials Science and Engineering.
Ph.D. University of Pennsylvania 2023.
Local Notes:
School code: 0175
ISBN:
9798381471939
Access Restriction:
Restricted for use by site license.

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