### Abstract

The Point Spread Function (PSF) indirectly encodes the wavefront aberrations of an optical system and therefore is a metric of the system performance. Analysis of the PSF properties is useful in the case of diffractive optics where the wavefront emerging from the exit pupil is not necessarily continuous and consequently not well represented by traditional wavefront error descriptors such as Zernike polynomials. The discontinuities in the wavefront from diffractive optics occur in cases where step heights in the element are not multiples of the illumination wavelength. Examples include binary or N-step structures, multifocal elements where two or more foci are intentionally created or cases where other wavelengths besides the design wavelength are used. Here, a technique for expanding the electric field amplitude of the PSF into a series of orthogonal functions is explored. The expansion coefficients provide insight into the diffraction efficiency and aberration content of diffractive optical elements. Furthermore, this technique is more broadly applicable to elements with a finite number of diffractive zones, as well as decentered patterns.

Original language | English (US) |
---|---|

Title of host publication | Optical Modeling and Performance Predictions VIII |

Publisher | SPIE |

Volume | 9953 |

ISBN (Electronic) | 9781510602984 |

DOIs | |

State | Published - 2016 |

Event | Optical Modeling and Performance Predictions VIII - San Diego, United States Duration: Aug 31 2016 → Sep 1 2016 |

### Other

Other | Optical Modeling and Performance Predictions VIII |
---|---|

Country | United States |

City | San Diego |

Period | 8/31/16 → 9/1/16 |

### Fingerprint

### Keywords

- Diffraction efficiency
- Diffractive lenses
- Orthogonal expansion
- Point spread function

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

*Optical Modeling and Performance Predictions VIII*(Vol. 9953). [995307] SPIE. https://doi.org/10.1117/12.2237907

**Diffraction efficiency and aberrations of diffractive elements obtained from orthogonal expansion of the point spread function.** / Schwiegerling, James T.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Optical Modeling and Performance Predictions VIII.*vol. 9953, 995307, SPIE, Optical Modeling and Performance Predictions VIII, San Diego, United States, 8/31/16. https://doi.org/10.1117/12.2237907

}

TY - GEN

T1 - Diffraction efficiency and aberrations of diffractive elements obtained from orthogonal expansion of the point spread function

AU - Schwiegerling, James T

PY - 2016

Y1 - 2016

N2 - The Point Spread Function (PSF) indirectly encodes the wavefront aberrations of an optical system and therefore is a metric of the system performance. Analysis of the PSF properties is useful in the case of diffractive optics where the wavefront emerging from the exit pupil is not necessarily continuous and consequently not well represented by traditional wavefront error descriptors such as Zernike polynomials. The discontinuities in the wavefront from diffractive optics occur in cases where step heights in the element are not multiples of the illumination wavelength. Examples include binary or N-step structures, multifocal elements where two or more foci are intentionally created or cases where other wavelengths besides the design wavelength are used. Here, a technique for expanding the electric field amplitude of the PSF into a series of orthogonal functions is explored. The expansion coefficients provide insight into the diffraction efficiency and aberration content of diffractive optical elements. Furthermore, this technique is more broadly applicable to elements with a finite number of diffractive zones, as well as decentered patterns.

AB - The Point Spread Function (PSF) indirectly encodes the wavefront aberrations of an optical system and therefore is a metric of the system performance. Analysis of the PSF properties is useful in the case of diffractive optics where the wavefront emerging from the exit pupil is not necessarily continuous and consequently not well represented by traditional wavefront error descriptors such as Zernike polynomials. The discontinuities in the wavefront from diffractive optics occur in cases where step heights in the element are not multiples of the illumination wavelength. Examples include binary or N-step structures, multifocal elements where two or more foci are intentionally created or cases where other wavelengths besides the design wavelength are used. Here, a technique for expanding the electric field amplitude of the PSF into a series of orthogonal functions is explored. The expansion coefficients provide insight into the diffraction efficiency and aberration content of diffractive optical elements. Furthermore, this technique is more broadly applicable to elements with a finite number of diffractive zones, as well as decentered patterns.

KW - Diffraction efficiency

KW - Diffractive lenses

KW - Orthogonal expansion

KW - Point spread function

UR - http://www.scopus.com/inward/record.url?scp=85006996123&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006996123&partnerID=8YFLogxK

U2 - 10.1117/12.2237907

DO - 10.1117/12.2237907

M3 - Conference contribution

VL - 9953

BT - Optical Modeling and Performance Predictions VIII

PB - SPIE

ER -