| (05-07 16:30)[봄학기 강연] Squeezing light with geometric singularities | |||||
| 작성자 | 과사무실 | ||||
|---|---|---|---|---|---|
| 조회수 | 106 | 등록일 | 2024.04.17 | ||
| 일시 | 2024-05-07 16:30~17:30 | ||||
| 연사 | 유상현 교수님(고려대학교) | ||||
| 장소 | 1204호 수학과세미나실 | ||||
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일 시 : 2024년 05월 07일(화) 16:30~17:30 연 사 : 유상현 교수님(고려대학교) 제 목 : Squeezing light with geometric singularities 장 소 : 자1204호 연 락 : 주항연 교수 주 최 : 충남대학교 수학과, 수리과학연구소 초록: - Concentrating light at the nanoscale is one of the greatest challenge in optics. If conventional optical devices are used, one cannot focus light into a spot smaller than a few hundred of nanometers due to the diffraction limit. Nano-optics overcomes this fundamental difficulty using various optical nanostructures having `geometrical singularities' on their surfaces. Light can be strongly localized near the geometric singularity point and it is of high importance to understand this singular phenomenon quantitatively for nano-optics applications. Its mathematical analysis requires to solve the PDE spectral problem for an elliptic operator where two key assumptions break down: uniform ellipticity and boundary smoothness, resulting in the singular behavior of solutions. It In this talk, we discuss how to characterize the singularity of solutions to the spectral PDE towards a mathematical theory of nano-optics. |
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