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Reflector Simulation

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. 

Problem Description

Input ParameterValue
SymmetryRotational, Cylindrical
Rotational Symmetry Cylindrical Symmetry
Rotational Symmetry Trough Symmetry

Light Source

Input ParameterValue
Type of sourcePoint, Line (only Cylindrical Symmetry)
Luminous intensity distributionI(α) – discrete array of points
Type of the curve interpolationLinear, 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 SymmetryCylindrical Symmetry
Rotational Symmetry Trough Symmetry

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

Luminous intensity distribution of the light source

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
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
Paraboloid, Ellipsoid, Hyperboloid, Spheroid
Initial radius
Acceptance angles
γs ÷ γf

Angle measuring agreement

Angle measuring agreement

Illuminated Area

Input ParameterValue
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
Xs ÷ Xf (only for Illuminance)
Boundary angles
αs ÷ αf (only for Luminous Intensity)
Number of resulting points

Output Data

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

Resulting luminous intensity distributio

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

Resulting illuminance distribution