---
_id: '20372'
abstract:
- lang: eng
  text: A stepwise angular spectrum method (SASM) for curved interfaces is presented
    to calculate the wave propagation in planar lens-like integrated optical structures
    based on photonic slab waveguides. The method is derived and illustrated for an
    effective 2D setup first and then for 3D slab waveguide lenses. We employ slab
    waveguides of different thicknesses connected by curved surfaces to realize a
    lens-like structure. To simulate the wave propagation in 3D including reflection
    and scattering losses, the stepwise angular spectrum method is combined with full
    vectorial finite element computations for subproblems with lower complexity. Our
    SASM results show excellent agreement with rigorous numerical simulations of the
    full structures with a substantially lower computational effort and can be utilized
    for the simulation-based design and optimization of complex and large scale setups.
author:
- first_name: Lena
  full_name: Ebers, Lena
  id: '40428'
  last_name: Ebers
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
- first_name: Jens
  full_name: Förstner, Jens
  id: '158'
  last_name: Förstner
  orcid: 0000-0001-7059-9862
citation:
  ama: Ebers L, Hammer M, Förstner J. Light diffraction in slab waveguide lenses simulated
    with the stepwise angular spectrum method. <i>Optics Express</i>. 2020;28(24):36361.
    doi:<a href="https://doi.org/10.1364/oe.409612">10.1364/oe.409612</a>
  apa: Ebers, L., Hammer, M., &#38; Förstner, J. (2020). Light diffraction in slab
    waveguide lenses simulated with the stepwise angular spectrum method. <i>Optics
    Express</i>, <i>28</i>(24), 36361. <a href="https://doi.org/10.1364/oe.409612">https://doi.org/10.1364/oe.409612</a>
  bibtex: '@article{Ebers_Hammer_Förstner_2020, title={Light diffraction in slab waveguide
    lenses simulated with the stepwise angular spectrum method}, volume={28}, DOI={<a
    href="https://doi.org/10.1364/oe.409612">10.1364/oe.409612</a>}, number={24},
    journal={Optics Express}, author={Ebers, Lena and Hammer, Manfred and Förstner,
    Jens}, year={2020}, pages={36361} }'
  chicago: 'Ebers, Lena, Manfred Hammer, and Jens Förstner. “Light Diffraction in
    Slab Waveguide Lenses Simulated with the Stepwise Angular Spectrum Method.” <i>Optics
    Express</i> 28, no. 24 (2020): 36361. <a href="https://doi.org/10.1364/oe.409612">https://doi.org/10.1364/oe.409612</a>.'
  ieee: L. Ebers, M. Hammer, and J. Förstner, “Light diffraction in slab waveguide
    lenses simulated with the stepwise angular spectrum method,” <i>Optics Express</i>,
    vol. 28, no. 24, p. 36361, 2020.
  mla: Ebers, Lena, et al. “Light Diffraction in Slab Waveguide Lenses Simulated with
    the Stepwise Angular Spectrum Method.” <i>Optics Express</i>, vol. 28, no. 24,
    2020, p. 36361, doi:<a href="https://doi.org/10.1364/oe.409612">10.1364/oe.409612</a>.
  short: L. Ebers, M. Hammer, J. Förstner, Optics Express 28 (2020) 36361.
date_created: 2020-11-17T09:52:47Z
date_updated: 2022-01-06T06:54:26Z
department:
- _id: '61'
- _id: '230'
- _id: '429'
doi: 10.1364/oe.409612
intvolume: '        28'
issue: '24'
keyword:
- tet_topic_waveguides
language:
- iso: eng
page: '36361'
project:
- _id: '53'
  name: TRR 142
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '74'
  name: TRR 142 - Subproject C4
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
status: public
title: Light diffraction in slab waveguide lenses simulated with the stepwise angular
  spectrum method
type: journal_article
user_id: '158'
volume: 28
year: '2020'
...