---
_id: '66746'
abstract:
- lang: eng
  text: <jats:p>Several recent proposals in integrated photonics concern components
    that operate on so-called semi-guided waves. Given a dielectric multilayer slab
    structure, these are wave solutions that propagate along the slab with the functional
    dependence of ordinary harmonic plane waves, but with modal confinement in the
    direction perpendicular to the slab plane. While the in-plane unbounded waves
    are valid as a theoretical construct, practical devices will have to work with
    laterally confined optical fields. To that end we consider Gaussian superpositions
    of semi-guided waves, for a range of in-plane propagation angles, here named “semi-guided
    Gaussian beams.” This paper collects a series of relations that characterize these
    wave bundles, with emphasis on their divergence. The expressions resemble standard
    results for optical Gaussian beams, with modifications originating from the 1-D
    guiding and 1-D bundling. Examples for a high-contrast silicon-on-insulator slab
    at a typical telecom wavelength are discussed.</jats:p>
article_number: '1950'
author:
- 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: Hammer M, Förstner J. Semi-guided Gaussian beams. <i>Journal of the Optical
    Society of America B</i>. 2026;43(9). doi:<a href="https://doi.org/10.1364/josab.606932">10.1364/josab.606932</a>
  apa: Hammer, M., &#38; Förstner, J. (2026). Semi-guided Gaussian beams. <i>Journal
    of the Optical Society of America B</i>, <i>43</i>(9), Article 1950. <a href="https://doi.org/10.1364/josab.606932">https://doi.org/10.1364/josab.606932</a>
  bibtex: '@article{Hammer_Förstner_2026, title={Semi-guided Gaussian beams}, volume={43},
    DOI={<a href="https://doi.org/10.1364/josab.606932">10.1364/josab.606932</a>},
    number={91950}, journal={Journal of the Optical Society of America B}, publisher={Optica
    Publishing Group}, author={Hammer, Manfred and Förstner, Jens}, year={2026} }'
  chicago: Hammer, Manfred, and Jens Förstner. “Semi-Guided Gaussian Beams.” <i>Journal
    of the Optical Society of America B</i> 43, no. 9 (2026). <a href="https://doi.org/10.1364/josab.606932">https://doi.org/10.1364/josab.606932</a>.
  ieee: 'M. Hammer and J. Förstner, “Semi-guided Gaussian beams,” <i>Journal of the
    Optical Society of America B</i>, vol. 43, no. 9, Art. no. 1950, 2026, doi: <a
    href="https://doi.org/10.1364/josab.606932">10.1364/josab.606932</a>.'
  mla: Hammer, Manfred, and Jens Förstner. “Semi-Guided Gaussian Beams.” <i>Journal
    of the Optical Society of America B</i>, vol. 43, no. 9, 1950, Optica Publishing
    Group, 2026, doi:<a href="https://doi.org/10.1364/josab.606932">10.1364/josab.606932</a>.
  short: M. Hammer, J. Förstner, Journal of the Optical Society of America B 43 (2026).
date_created: 2026-08-19T13:09:51Z
date_updated: 2026-08-31T09:21:58Z
ddc:
- '530'
department:
- _id: '61'
- _id: '230'
- _id: '429'
- _id: '623'
doi: 10.1364/josab.606932
file:
- access_level: open_access
  content_type: application/pdf
  creator: fossie
  date_created: 2026-08-31T09:19:29Z
  date_updated: 2026-08-31T09:19:29Z
  file_id: '66876'
  file_name: 2026-08 Hammer - JOSA B - Semi-guided Gaussian Beams.pdf
  file_size: 1886572
  relation: main_file
file_date_updated: 2026-08-31T09:19:29Z
has_accepted_license: '1'
intvolume: '        43'
issue: '9'
keyword:
- tet_topic_waveguide
language:
- iso: eng
oa: '1'
publication: Journal of the Optical Society of America B
publication_identifier:
  issn:
  - 0740-3224
  - 1520-8540
publication_status: published
publisher: Optica Publishing Group
status: public
title: Semi-guided Gaussian beams
type: journal_article
user_id: '158'
volume: 43
year: '2026'
...