DLPU140A May   2024  – September 2025 DLP160AP , DLP160CP , DLP2000 , DLP2010 , DLP2010LC , DLP2010NIR , DLP2021-Q1 , DLP230GP , DLP230KP , DLP230NP , DLP300S , DLP3010 , DLP3010LC , DLP301S , DLP3020-Q1 , DLP3021-Q1 , DLP3030-Q1 , DLP3034-Q1 , DLP3310 , DLP4500 , DLP4500NIR , DLP4620S-Q1 , DLP4621-Q1 , DLP470NE , DLP470TE , DLP4710 , DLP4710LC , DLP471NE , DLP471TE , DLP471TP , DLP480RE , DLP500YX , DLP5500 , DLP550HE , DLP550JE , DLP5530-Q1 , DLP5530S-Q1 , DLP5531-Q1 , DLP5531A-Q1 , DLP5532-Q1 , DLP5533A-Q1 , DLP5534-Q1 , DLP6500FLQ , DLP6500FYE , DLP650LE , DLP650LNIR , DLP650NE , DLP650TE , DLP651LE , DLP651NE , DLP660TE , DLP670RE , DLP670S , DLP7000 , DLP7000UV , DLP780NE , DLP780TE , DLP781NE , DLP781TE , DLP800RE , DLP801RE , DLP801XE , DLP9000 , DLP9000X , DLP9000XUV , DLP9500 , DLP9500UV

 

  1.   1
  2.   Abstract
  3. 1DMD Diffraction Efficiency Calculator Functionality
  4. 2Installation and setup
  5. 3Input Parameters
    1. 3.1  Pixel Models (DMD Micromirror)
    2. 3.2  Parameter Sweeps
    3. 3.3  Wavelength
    4. 3.4  Illumination Angle of Incidence
    5. 3.5  Tilt Angle
    6. 3.6  ƒ/Number (Illumination and Projection)
    7. 3.7  Enhance Slider
    8. 3.8  Diffraction Energy Plot
    9. 3.9  Array Size
    10. 3.10 Output File Name
    11. 3.11 Average Diffraction Efficiency and Photopic Diffraction Efficiency
    12. 3.12 Apodization
    13. 3.13 Run Simulation
  6. 4Coordinate System
  7. 5Examples
    1. 5.1 High F/Number Illumination
    2. 5.2 Mismatched Illumination and Projection F/Number
    3. 5.3 Cantilever Versus Torsional With Same Pixel Pitch
    4. 5.4 Side Diamond Diffraction Pattern
    5. 5.5 Apodization
  8.   Trademarks
  9. 6References
  10. 7Revision History

4 Coordinate System

The diffraction model is based on a spherical coordinate system as shown in Figure 4-1. The tilt and illumination angles are defined by theta (θ) and phi (Φ) angles in the coordinate system.

Spherical Coordinate System Defined by Theta and Phi Angles for a Given Mirror Array Plane Figure 4-1 Spherical Coordinate System Defined by Theta and Phi Angles for a Given Mirror Array Plane

An example of a torsional design is presented in Figure 4-2 and a cantilever design in Figure 4-6. On and off state diffraction patterns are shown with their given theta and phi angles. The illumination direction, pupil diagram, and on and off rays are represented to help clarify the conditions that will be used when modeling diffraction. TRP pixel is the only cantilver pixel design; all other pixel models utilize a torsional design.

Torsional 12⁰ Mirror Tilt Design With Corner Illumination with the pupil diagram showing On, Flat, and Off states of the mirrorFigure 4-2 Torsional 12⁰ Mirror Tilt Design With Corner Illumination with the pupil diagram showing On, Flat, and Off states of the mirror
Mirror On State Diffraction Pattern Model with Mirror (θ = 12⁰, Φ = -45⁰), Illumination (θ = 24⁰, Φ = -45⁰)Figure 4-4 Mirror On State Diffraction Pattern Model with Mirror (θ = 12⁰, Φ = -45⁰), Illumination (θ = 24⁰, Φ = -45⁰)
On and Off State Illumination and Tilt Angles with their Associated Rays on a DMDFigure 4-3 On and Off State Illumination and Tilt Angles with their Associated Rays on a DMD
Mirror Off State Diffraction Pattern Model with Mirror (θ = -12⁰, Φ = -45⁰), Illumination (θ = 24⁰, Φ = -45⁰)Figure 4-5 Mirror Off State Diffraction Pattern Model with Mirror (θ = -12⁰, Φ = -45⁰), Illumination (θ = 24⁰, Φ = -45⁰)
Cantilever 17⁰ Mirror Tilt Design With Side Illumination with the pupil diagram showing On, Flat, and Off states of the mirrorFigure 4-6 Cantilever 17⁰ Mirror Tilt Design With Side Illumination with the pupil diagram showing On, Flat, and Off states of the mirror
Mirror on State Diffraction Pattern Model with Mirror (θ = 17⁰, Φ = 90⁰), Illumination (θ = 34⁰, Φ = 90⁰).Figure 4-8 Mirror on State Diffraction Pattern Model with Mirror (θ = 17⁰, Φ = 90⁰), Illumination (θ = 34⁰, Φ = 90⁰).
On and Off State Illumination and Tilt Angles with their Associated Rays on a DMD Figure 4-7 On and Off State Illumination and Tilt Angles with their Associated Rays on a DMD
Mirror Off State Diffraction Pattern Model with Mirror (θ = -17⁰, Φ = -90⁰), Illumination (θ = 34⁰, Φ = 90⁰) Figure 4-9 Mirror Off State Diffraction Pattern Model with Mirror (θ = -17⁰, Φ = -90⁰), Illumination (θ = 34⁰, Φ = 90⁰)