Optical caustics of multiple objects in water: two vertical rods and normally incident light

Selmke, Markus; Lock, James A.

doi:10.1364/ao.400440

Appl. Opt.

2020

DOI: 10.1364/ao.400440

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Optical caustics of multiple objects in water: two vertical rods and normally incident light

Markus Selmke

James A. Lock

Abstract: The optical caustics of the combined water menisci raised by two objects with identical circular cross sections show peculiar caustic metamorphoses known from binary gravitational lenses. We highlight their genericity and analyze the connection of the refracting interface topography and curvature landscape with the caustics’ (and their images’) topology.

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Cited by 4 publications

References 37 publications

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An optical n-body gravitational lens analogy

Selmke

2021

American Journal of Physics

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Raised menisci around small discs positioned to pull up a water-air interface provide a highly controllable experimental setup capable of reproducing much of the rich phenomenology of gravitational lensing (or microlensing) by n-body clusters. Results are shown for single, binary, and triple mass systems. The scheme represents a versatile testbench for the (astro)physics of general relativity's gravitational lens effects, including high multiplicity imaging of extended sources.

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An optical n-body gravitational lens analogy

Selmke

2021

American Journal of Physics

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An exploration of circumbinary systems using gravitational microlensing

George

Kontou

Przewoznik

et al. 2023

American Journal of Physics

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Gravitational microlensing is one of the methods to detect exoplanets–planets outside our solar system. Here, we focus on the theoretical modeling of systems with three lensing objects and in particular circumbinary systems. Circumbinary systems include two stars and at least one planet and are estimated to represent a sizeable portion of all exoplanets. Extending a method developed for binary lenses to the three lens case, we explore the parameter space of circumbinary systems, producing exact magnification maps and light curves.

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Bubble optics: Leonardo’s cross revisited—Part 2, paraxial analytical methods

Lock

Selmke

2021

Appl. Opt.

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Around 1508, Leonardo da Vinci first noted and sketched a cross-shaped caustic produced by a plane wave diagonally incident on the meniscus surrounding a bubble on the surface of a water-filled container. This caustic was analyzed in a companion paper using a numerical ray theory spot diagram approach and is analyzed here using analytic ray theory approaches appropriate to the paraxial regime. We demonstrate that the caustic assumes the standard astroid form when the maximum meniscus slope is small, and the shape starts to distort as the maximum meniscus slope increases. We show that competition between generalized coma and generalized astigmatism, with generalized coma dominating, is responsible for the cusp points of the astroid in the plane of the incident light being reversed with respect to their images in the exit plane of the optical system. We also show that Leonardo’s cross is the result of the twofold symmetry of the astigmatic focusing of the diagonally incident plane wave by the circularly symmetric meniscus.

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Optical caustics of multiple objects in water: two vertical rods and normally incident light

Cited by 4 publications

References 37 publications

An optical n-body gravitational lens analogy

An optical n-body gravitational lens analogy

An exploration of circumbinary systems using gravitational microlensing

Bubble optics: Leonardo’s cross revisited—Part 2, paraxial analytical methods

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