TY - JOUR
T1 - The point-characteristic function, wavefronts, andcaustic of a spherical wave refracted by an arbitrary smooth surface
AU - Marciano-Melchor, Magdalena
AU - Navarro-Morales, Esperanza
AU - Román-Hernández, Edwin
AU - Santiago-Santiago, José Guadalupe
AU - Silva-Ortigoza, Gilberto
AU - Silva-Ortigoza, Ramón
AU - Suárez-Xique, Román
PY - 2012/6
Y1 - 2012/6
N2 - The aim of this paper is to obtain expressions for the k-function, the wavefront train, and the caustic associated with the light rays refracted by an arbitrary smooth surface after being emitted by a point light source located at an arbitrary position in a three-dimensional homogeneous optical medium. The general results are applied to a parabolic refracting surface. For this case, we find that when the point light source is off the optical axis, the caustic locally has singularities of the hyperbolic umbilic type, while the refracted wavefront, at the caustic region, locally has singularities of the cusp ridge and swallowtail types.
AB - The aim of this paper is to obtain expressions for the k-function, the wavefront train, and the caustic associated with the light rays refracted by an arbitrary smooth surface after being emitted by a point light source located at an arbitrary position in a three-dimensional homogeneous optical medium. The general results are applied to a parabolic refracting surface. For this case, we find that when the point light source is off the optical axis, the caustic locally has singularities of the hyperbolic umbilic type, while the refracted wavefront, at the caustic region, locally has singularities of the cusp ridge and swallowtail types.
UR - http://www.scopus.com/inward/record.url?scp=84861914803&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.29.001035
DO - 10.1364/JOSAA.29.001035
M3 - Artículo
SN - 1084-7529
VL - 29
SP - 1035
EP - 1046
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 6
ER -