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- Details

Reflector simulation in SHAPE accomodates calculation of the light distribution of a specified optical system. The light source luminous intensity distribution and the reflector shape may be imported into the reflector simulation project from external files. Depending on the requirements, the reflector simulation^{ }program calculates the illuminance distribution on the working plane or a luminous intensity distribution of the optical system (a lighting device).

For rotationally symmetric reflectors, the source can be displaced along the optical axis, for example, to estimate defocusing. The light source coordinates in a system with a cylindrically symmetric reflector can be displaced both along and across. There may be multiple light sources, for example, during reflector simulation^{ }of a LED module.

SHAPE permits comparison of the reflector simulation results, for example, when it is necessary to estimate the effect of aberrations (difference between produced and assumed reflector shape) on resulting light distribution. The luminous intensity distribution of the calculated optical system (a lighting device) can be saved in the IES format.

Input Parameter | Value |

Symmetry | Rotational, Cylindrical |

Rotational Symmetry | Cylindrical Symmetry |

Input Parameter | Value |

Type of source | Point, Line (only Cylindrical Symmetry) |

Luminous intensity distribution | I(α) – discrete array of points |

Type of the curve interpolation | Linear, Spline |

The program supports calculation of several light sources (the number is not limited).

The center coordinates of the sources can be displaced. In case of rotational symmetry, the sources can be displaced only along the reflector axis OZ. For cylindrical symmetry, sources are both along and across the reflector axis.

Rotational Symmetry | Cylindrical Symmetry |

**Luminous intensity distribution of the light source – I(α), cd/klm**

**Note**: During the calculation of the intensity distribution, curve is normalized to a light flux of 1000 lm.

The reflector profile can be described as follows:

- Cartesian coordinates of the reflector points: Z(x)
- Polar coordinates of the reflector points: R(α)
- Ray-tracing function (dependence between incident and reflected rays) with initial radius: α(γ) and R
- Analytical representation

Input Parameter | Value |

Reflectance | ρ |

Representation | Cartesian, Polar, Ray-tracing function |

Discrete reflector | |

Contour (profile) | Z(x), R(γ), α(γ) - discrete array of points |

Initial radius | R (only for Ray-tracing representation) |

Interpolation of the contour | Linear, Spline |

Analytical reflector | |

Representation | Paraboloid, Ellipsoid, Hyperboloid, Spheroid |

Initial radius | R |

Acceptance angles | γ _{s }÷ γ_{f} |

**Angle measuring agreement**

Input Parameter | Value |

Direct light from the source | On, Off |

Type of light distribution | Luminous Intensity, Illuminance |

Distance to the working plane | H (only for Illuminance) |

Boundary coordinates | X _{s }÷ X_{f }(only for Illuminance) |

Boundary angles | α _{s} ÷ α_{f }(only for Luminous Intensity) |

Number of resulting points | N |

**Resulting luminous intensity distribution – I(α), cd/klm**

**Resulting illuminance distribution – E(x), lx/klm**

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