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- Details

SHAPE's distinctive feature, in comparison with similar reflector design programs, is the calculation of reflector shape coordinates according to the specified light source characteristics and the illuminated area. The reflector design initial data should be regarded as illuminance on the working plane or a luminous intensity distribution of the optical system (a lighting device). Such a method of reflector design (from the specified light distribution to the reflector shape) reduces prototyping costs and raises energy efficiency of a lighting device.

SHAPE provides control of reflector synthesis by checking calculation which recalculates the light distribution from the newly built reflector shape. The optical system parameters may be imported into the reflector design project where it is possible to estimate the system stability against defocusing and aberrations.

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 |

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

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

Input Parameter | Value |

Reflectance | ρ |

Start angle | γ _{s} |

Final angle | γ _{f} |

Initial radius | R |

Number of calculation points | N, Auto Fit |

Various combinations of starting and final angles are supported in the program.

**Rotational Symmetry**

**Cylindrical Symmetry**

After calculating the shape array appears in the following forms:

- in Cartesian coordinates: Z(x)
- in polar coordinates: R(α)
- Ray-tracing function (dependence between incident and reflected rays): α(γ)

Input Parameter | Value |

Direct light from the source | On, Off |

Type of light distribution | Luminous intensity distribution curve, Illuminance |

Luminous intensity distribution | |

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

Boundary angular coordinates | α _{s} ÷ α_{f } |

Illuminance distribution | |

Illuminance distribution | E(x) – discrete array of points |

Distance to the working plane | H |

Boundary linear coordinates | X _{s} ÷ X_{f } |

There is a dependency between boundary rays and boundary coordinates of the illuminated area. Thus, straight or crossed schemes of ray-tracing can be used.

Divergent scheme of ray-tracing | Convergent scheme of ray-tracing |

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

**Illuminance distribution – E(x), lx/klm**

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