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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2510.07522 |
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| _version_ | 1866911199619186688 |
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| author | Zhang, Zeyu Gould, Brian Barsukova, Maria Rechtsman, Mikael C. |
| author_facet | Zhang, Zeyu Gould, Brian Barsukova, Maria Rechtsman, Mikael C. |
| contents | Airy wavefunctions are associated with one of the simplest scenarios in wave mechanics: a quantum bouncing ball. In other words, they are the eigenstates of the time-independent Schrodinger equation with a linear potential. In the domain of optics, laser beams that are spatially shaped as Airy functions (`Airy beams') have been shown to exhibit a prominent lobe that follows a curved path, rather than propagating in a straight line, and which has self-healing properties in the presence of obstacles. Here, we observe the presence of Airy resonances in two-dimensional photonic crystals composed of a lattice of holes in a silicon slab. Analogously to electrons in a linear potential, these Airy resonances arise due to a linear spatial variation in the lattice constant of the holes. We map the electromagnetic description of the photonic crystal onto a 2D non-Hermitian Schrodinger equation with a linear potential, which we call a `superpotential'. The non-Hermiticity appears in the form of a complex effective mass due to out-of-plane radiation and fundamentally alters the collective optical response of the Airy resonances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Airy Resonances in Photonic Crystal Superpotentials Zhang, Zeyu Gould, Brian Barsukova, Maria Rechtsman, Mikael C. Optics Airy wavefunctions are associated with one of the simplest scenarios in wave mechanics: a quantum bouncing ball. In other words, they are the eigenstates of the time-independent Schrodinger equation with a linear potential. In the domain of optics, laser beams that are spatially shaped as Airy functions (`Airy beams') have been shown to exhibit a prominent lobe that follows a curved path, rather than propagating in a straight line, and which has self-healing properties in the presence of obstacles. Here, we observe the presence of Airy resonances in two-dimensional photonic crystals composed of a lattice of holes in a silicon slab. Analogously to electrons in a linear potential, these Airy resonances arise due to a linear spatial variation in the lattice constant of the holes. We map the electromagnetic description of the photonic crystal onto a 2D non-Hermitian Schrodinger equation with a linear potential, which we call a `superpotential'. The non-Hermiticity appears in the form of a complex effective mass due to out-of-plane radiation and fundamentally alters the collective optical response of the Airy resonances. |
| title | Airy Resonances in Photonic Crystal Superpotentials |
| topic | Optics |
| url | https://arxiv.org/abs/2510.07522 |