Analysis of the Shadow-Sausage Effect Caustic

James A. Lock; Charles L. Adler; Diana Ekelman; Jonathan Mulholland; Brian Keating

doi:10.1364/AO.42.000418

Analysis of the Shadow-Sausage Effect Caustic

James A. Lock, Charles L. Adler, Diana Ekelman, Jonathan Mulholland, Brian Keating

Research output: Contribution to journal › Article › peer-review

Abstract

We analyze the optical caustic produced by light refracted at the curved meniscus surrounding a cylindrical rod standing partially out of a liquid-filled container. When the rod is tilted from the vertical or when light is diagonally incident, the caustic is a four-cusped astroid with two of its cusps obscured by the rod's shadow. If a portion of the flat end of the rod is raised above the water level, the caustic evolves into a pattern of five interlocking cusps. The five cusps result from symmetry breaking of a three-cusped surface perturbation caustic. (C) 2003 Optical Society of America.

Original language	American English
Journal	Applied Optics
Volume	42
DOIs	https://doi.org/10.1364/AO.42.000418
State	Published - Jan 20 2003

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Physics

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title = "Analysis of the Shadow-Sausage Effect Caustic",

abstract = " We analyze the optical caustic produced by light refracted at the curved meniscus surrounding a cylindrical rod standing partially out of a liquid-filled container. When the rod is tilted from the vertical or when light is diagonally incident, the caustic is a four-cusped astroid with two of its cusps obscured by the rod's shadow. If a portion of the flat end of the rod is raised above the water level, the caustic evolves into a pattern of five interlocking cusps. The five cusps result from symmetry breaking of a three-cusped surface perturbation caustic. (C) 2003 Optical Society of America.",

author = "Lock, \{James A.\} and Adler, \{Charles L.\} and Diana Ekelman and Jonathan Mulholland and Brian Keating",

note = "Lock, James A., Charles L. Adler, Diana Ekelman, Jonathan Mulholland, and Brian Keating. {"}Analysis of the Shadow-Sausage Effect Caustic.{"} emApplied Optics/em 42 (2003): 418-428.",

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AU - Lock, James A.

AU - Adler, Charles L.

AU - Ekelman, Diana

AU - Mulholland, Jonathan

AU - Keating, Brian

N1 - Lock, James A., Charles L. Adler, Diana Ekelman, Jonathan Mulholland, and Brian Keating. "Analysis of the Shadow-Sausage Effect Caustic." emApplied Optics/em 42 (2003): 418-428.

PY - 2003/1/20

Y1 - 2003/1/20

N2 - We analyze the optical caustic produced by light refracted at the curved meniscus surrounding a cylindrical rod standing partially out of a liquid-filled container. When the rod is tilted from the vertical or when light is diagonally incident, the caustic is a four-cusped astroid with two of its cusps obscured by the rod's shadow. If a portion of the flat end of the rod is raised above the water level, the caustic evolves into a pattern of five interlocking cusps. The five cusps result from symmetry breaking of a three-cusped surface perturbation caustic. (C) 2003 Optical Society of America.

AB - We analyze the optical caustic produced by light refracted at the curved meniscus surrounding a cylindrical rod standing partially out of a liquid-filled container. When the rod is tilted from the vertical or when light is diagonally incident, the caustic is a four-cusped astroid with two of its cusps obscured by the rod's shadow. If a portion of the flat end of the rod is raised above the water level, the caustic evolves into a pattern of five interlocking cusps. The five cusps result from symmetry breaking of a three-cusped surface perturbation caustic. (C) 2003 Optical Society of America.

UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/44

U2 - 10.1364/AO.42.000418

DO - 10.1364/AO.42.000418

M3 - Article

VL - 42

JO - Applied Optics

JF - Applied Optics

ER -

Analysis of the Shadow-Sausage Effect Caustic

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