The complex morphologies exhibited by spatially confined thin objects have long challenged human efforts to understand and manipulate them, from the representation of patterns in draped fabric in Renaissance art to current-day efforts to engineer flexible sensors that conform to the human body. We introduce a theoretical principle, broadly generalizing Euler’s
We present a closed-form analytical expression that describes the effect of clipping by circular apertures on laser beams, described in terms of an expansion in eigenmodes of the paraxial wave equation, in either the Laguerre–Gauss or Hermite–Gauss bases. This result provides a faster and more accurate way to compute the coupling between higher-order modes, compared to commonly used grid-based numerical integration.
more » « less- NSF-PAR ID:
- 10369285
- Publisher / Repository:
- Optical Society of America
- Date Published:
- Journal Name:
- Journal of the Optical Society of America A
- Volume:
- 39
- Issue:
- 3
- ISSN:
- 1084-7529; JOAOD6
- Page Range / eLocation ID:
- Article No. 352
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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