A mathematical model for inverse freeform design of a point-to-point two-reflector system
In this paper, we discuss a mathematical model for inverse freeform design of an optical system with two reflectors in which light transfers from a point source to a point target. In this model, the angular light intensity emitted from the point source and illuminance arriving at the point target ar...
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| creator | Braam, P. A Boonkkamp, J. H. M. ten Thije Anthonissen, M. J. H Beltman, R IJzerman, W. L |
| description | In this paper, we discuss a mathematical model for inverse freeform design of
an optical system with two reflectors in which light transfers from a point
source to a point target. In this model, the angular light intensity emitted
from the point source and illuminance arriving at the point target are
specified by distributions. To determine the optical mapping and the shape of
the reflectors, we use the optical path length and take energy conservation
into account, through which we obtain a generated Jacobian equation. We express
the system in both spherical and stereographic coordinates, and solve it using
a sophisticated least-squares algorithm. Several examples illustrate the
algorithm's capabilities to tackle complicated light distributions. |
| doi_str_mv | 10.48550/arxiv.2411.00596 |
| format | Article |
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an optical system with two reflectors in which light transfers from a point
source to a point target. In this model, the angular light intensity emitted
from the point source and illuminance arriving at the point target are
specified by distributions. To determine the optical mapping and the shape of
the reflectors, we use the optical path length and take energy conservation
into account, through which we obtain a generated Jacobian equation. We express
the system in both spherical and stereographic coordinates, and solve it using
a sophisticated least-squares algorithm. Several examples illustrate the
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an optical system with two reflectors in which light transfers from a point
source to a point target. In this model, the angular light intensity emitted
from the point source and illuminance arriving at the point target are
specified by distributions. To determine the optical mapping and the shape of
the reflectors, we use the optical path length and take energy conservation
into account, through which we obtain a generated Jacobian equation. We express
the system in both spherical and stereographic coordinates, and solve it using
a sophisticated least-squares algorithm. Several examples illustrate the
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an optical system with two reflectors in which light transfers from a point
source to a point target. In this model, the angular light intensity emitted
from the point source and illuminance arriving at the point target are
specified by distributions. To determine the optical mapping and the shape of
the reflectors, we use the optical path length and take energy conservation
into account, through which we obtain a generated Jacobian equation. We express
the system in both spherical and stereographic coordinates, and solve it using
a sophisticated least-squares algorithm. Several examples illustrate the
algorithm's capabilities to tackle complicated light distributions.</abstract><doi>10.48550/arxiv.2411.00596</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Optics |
| title | A mathematical model for inverse freeform design of a point-to-point two-reflector system |
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