---
_id: '3847'
abstract:
- lang: eng
  text: "Sheets of slab waveguides with sharp corners are investigated. By means of
    rigorous\r\nnumerical experiments, we look at oblique incidence of semi-guided
    plane waves. Radiation losses\r\nvanish beyond a certain critical angle of incidence.
    One can thus realize lossless propagation through\r\n90-degree corner configurations,
    where the remaining guided waves are still subject to pronounced\r\nreflection
    and polarization conversion. A system of two corners can be viewed as a structure
    akin to\r\na Fabry-Perot-interferometer. By adjusting the distance between the
    two partial reflectors, here the\r\n90-degree corners, one identifies step-like
    configurations that transmit the semi-guided plane waves\r\nwithout radiation
    losses, and virtually without reflections. Simulations of semi-guided beams with\r\nin-plane
    wide Gaussian profiles show that the effect survives in a true 3-D framework."
article_type: original
author:
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
- first_name: Andre
  full_name: Hildebrandt, Andre
  last_name: Hildebrandt
- first_name: Jens
  full_name: Förstner, Jens
  id: '158'
  last_name: Förstner
  orcid: 0000-0001-7059-9862
citation:
  ama: Hammer M, Hildebrandt A, Förstner J. Full Resonant Transmission of Semiguided
    Planar Waves Through Slab Waveguide Steps at Oblique Incidence. <i>Journal of
    Lightwave Technology</i>. 2015;34(3):997-1005. doi:<a href="https://doi.org/10.1109/jlt.2015.2502431">10.1109/jlt.2015.2502431</a>
  apa: Hammer, M., Hildebrandt, A., &#38; Förstner, J. (2015). Full Resonant Transmission
    of Semiguided Planar Waves Through Slab Waveguide Steps at Oblique Incidence.
    <i>Journal of Lightwave Technology</i>, <i>34</i>(3), 997–1005. <a href="https://doi.org/10.1109/jlt.2015.2502431">https://doi.org/10.1109/jlt.2015.2502431</a>
  bibtex: '@article{Hammer_Hildebrandt_Förstner_2015, title={Full Resonant Transmission
    of Semiguided Planar Waves Through Slab Waveguide Steps at Oblique Incidence},
    volume={34}, DOI={<a href="https://doi.org/10.1109/jlt.2015.2502431">10.1109/jlt.2015.2502431</a>},
    number={3}, journal={Journal of Lightwave Technology}, publisher={Institute of
    Electrical and Electronics Engineers (IEEE)}, author={Hammer, Manfred and Hildebrandt,
    Andre and Förstner, Jens}, year={2015}, pages={997–1005} }'
  chicago: 'Hammer, Manfred, Andre Hildebrandt, and Jens Förstner. “Full Resonant
    Transmission of Semiguided Planar Waves Through Slab Waveguide Steps at Oblique
    Incidence.” <i>Journal of Lightwave Technology</i> 34, no. 3 (2015): 997–1005.
    <a href="https://doi.org/10.1109/jlt.2015.2502431">https://doi.org/10.1109/jlt.2015.2502431</a>.'
  ieee: M. Hammer, A. Hildebrandt, and J. Förstner, “Full Resonant Transmission of
    Semiguided Planar Waves Through Slab Waveguide Steps at Oblique Incidence,” <i>Journal
    of Lightwave Technology</i>, vol. 34, no. 3, pp. 997–1005, 2015.
  mla: Hammer, Manfred, et al. “Full Resonant Transmission of Semiguided Planar Waves
    Through Slab Waveguide Steps at Oblique Incidence.” <i>Journal of Lightwave Technology</i>,
    vol. 34, no. 3, Institute of Electrical and Electronics Engineers (IEEE), 2015,
    pp. 997–1005, doi:<a href="https://doi.org/10.1109/jlt.2015.2502431">10.1109/jlt.2015.2502431</a>.
  short: M. Hammer, A. Hildebrandt, J. Förstner, Journal of Lightwave Technology 34
    (2015) 997–1005.
date_created: 2018-08-08T10:34:34Z
date_updated: 2022-01-06T06:59:44Z
ddc:
- '530'
department:
- _id: '61'
doi: 10.1109/jlt.2015.2502431
file:
- access_level: local
  content_type: application/pdf
  creator: hclaudia
  date_created: 2018-08-08T10:37:19Z
  date_updated: 2018-09-03T14:43:26Z
  file_id: '3848'
  file_name: 2016 Hammer,Hildebrandt,Förstner_Full resonant transmission of semi-guided
    planar waves.pdf
  file_size: 606723
  relation: main_file
file_date_updated: 2018-09-03T14:43:26Z
has_accepted_license: '1'
intvolume: '        34'
issue: '3'
keyword:
- tet_topic_waveguide
language:
- iso: eng
page: 997-1005
publication: Journal of Lightwave Technology
publication_identifier:
  issn:
  - 0733-8724
  - 1558-2213
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Full Resonant Transmission of Semiguided Planar Waves Through Slab Waveguide
  Steps at Oblique Incidence
type: journal_article
user_id: '158'
volume: 34
year: '2015'
...
---
_id: '3894'
abstract:
- lang: eng
  text: "We show how to optically connect guiding layers at different elevations in
    a 3-D integrated photonic circuit. Transfer of\r\noptical power carried by planar,
    semi-guided waves is possible without reflections or radiation losses, and over
    large\r\nvertical distances. This functionality is realized through simple step-like
    folds of high-contrast dielectric slab waveguides, in combination with oblique
    wave incidence, and fulfilling a resonance condition. Radiation losses vanish,
    and polarization conversion is suppressed for TE wave incidence beyond certain
    critical angles. This can be understood by fundamental arguments resting on a
    version of Snell’s law. The two 90° corners of a step act as identical partial
    reflectors in a Fabry–Perot-like resonator setup. By selecting the step height,
    i.e., the distance between the reflectors, one realizes resonant states with full
    transmission. Rigorous quasi-analytical simulations\r\nfor typical silicon/silica
    parameters demonstrate the functioning. Combinations of several step junctions
    can lead\r\nto other types of optical on-chip connects, e.g., U-turn- or bridge-like
    configurations."
article_type: original
author:
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
- first_name: Andre
  full_name: Hildebrandt, Andre
  last_name: Hildebrandt
- first_name: Jens
  full_name: Förstner, Jens
  id: '158'
  last_name: Förstner
  orcid: 0000-0001-7059-9862
citation:
  ama: Hammer M, Hildebrandt A, Förstner J. How planar optical waves can be made to
    climb dielectric steps. <i>Optics Letters</i>. 2015;40(16):3711-3714. doi:<a href="https://doi.org/10.1364/ol.40.003711">10.1364/ol.40.003711</a>
  apa: Hammer, M., Hildebrandt, A., &#38; Förstner, J. (2015). How planar optical
    waves can be made to climb dielectric steps. <i>Optics Letters</i>, <i>40</i>(16),
    3711–3714. <a href="https://doi.org/10.1364/ol.40.003711">https://doi.org/10.1364/ol.40.003711</a>
  bibtex: '@article{Hammer_Hildebrandt_Förstner_2015, title={How planar optical waves
    can be made to climb dielectric steps}, volume={40}, DOI={<a href="https://doi.org/10.1364/ol.40.003711">10.1364/ol.40.003711</a>},
    number={16}, journal={Optics Letters}, publisher={The Optical Society}, author={Hammer,
    Manfred and Hildebrandt, Andre and Förstner, Jens}, year={2015}, pages={3711–3714}
    }'
  chicago: 'Hammer, Manfred, Andre Hildebrandt, and Jens Förstner. “How Planar Optical
    Waves Can Be Made to Climb Dielectric Steps.” <i>Optics Letters</i> 40, no. 16
    (2015): 3711–14. <a href="https://doi.org/10.1364/ol.40.003711">https://doi.org/10.1364/ol.40.003711</a>.'
  ieee: M. Hammer, A. Hildebrandt, and J. Förstner, “How planar optical waves can
    be made to climb dielectric steps,” <i>Optics Letters</i>, vol. 40, no. 16, pp.
    3711–3714, 2015.
  mla: Hammer, Manfred, et al. “How Planar Optical Waves Can Be Made to Climb Dielectric
    Steps.” <i>Optics Letters</i>, vol. 40, no. 16, The Optical Society, 2015, pp.
    3711–14, doi:<a href="https://doi.org/10.1364/ol.40.003711">10.1364/ol.40.003711</a>.
  short: M. Hammer, A. Hildebrandt, J. Förstner, Optics Letters 40 (2015) 3711–3714.
date_created: 2018-08-13T09:39:06Z
date_updated: 2022-01-06T06:59:51Z
ddc:
- '530'
department:
- _id: '61'
doi: 10.1364/ol.40.003711
file:
- access_level: open_access
  content_type: application/pdf
  creator: hclaudia
  date_created: 2018-08-13T09:41:32Z
  date_updated: 2018-09-04T19:35:48Z
  file_id: '3895'
  file_name: 2015-07 Hammer,Hildebrandt,Förstner_How planar optical waves can be made
    to climb dielectric steps_Optics Letter.pdf
  file_size: 1504149
  relation: main_file
file_date_updated: 2018-09-04T19:35:48Z
has_accepted_license: '1'
intvolume: '        40'
issue: '16'
keyword:
- tet_topic_waveguide
language:
- iso: eng
oa: '1'
page: 3711-3714
publication: Optics Letters
publication_identifier:
  issn:
  - 0146-9592
  - 1539-4794
publication_status: published
publisher: The Optical Society
status: public
title: How planar optical waves can be made to climb dielectric steps
type: journal_article
urn: '38942'
user_id: '158'
volume: 40
year: '2015'
...
---
_id: '3890'
abstract:
- lang: eng
  text: "The incidenceofthin-film-guided, in-planeunguidedwavesatobliqueanglesonstraightdiscontinuities
    of dielectricslabwaveguides,anearlyproblemofintegratedoptics,isbeingre-considered.The3-D
    frequencydomainMaxwellequationsreducetoaparametrizedinhomogeneousvectorialproblemona\r\n2-D
    computationaldomain,withtransparent-influx boundaryconditions.Weproposearigorousvec-\r\ntorial
    solverbasedonsimultaneousexpansionsintopolarizedlocalslabeigenmodesalongthetwo\r\northogonal
    crosssectioncoordinates(quadridirectionaleigenmodepropagationQUEP).Thequasi-ana-\r\nlytical
    schemeisapplicabletoconfigurations with — in principle — arbitrary crosssectiongeometries.\r\nExamples
    forahigh-contrastfacetofanasymmetricslabwaveguide,forthelateralexcitationofa\r\nchannel
    waveguide,andforastepdiscontinuitybetweenslabwaveguidesofdifferentthicknessesare\r\ndiscussed."
article_type: original
author:
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
citation:
  ama: 'Hammer M. Oblique incidence of semi-guided waves on rectangular slab waveguide
    discontinuities: A vectorial QUEP solver. <i>Optics Communications</i>. 2014;338:447-456.
    doi:<a href="https://doi.org/10.1016/j.optcom.2014.09.087">10.1016/j.optcom.2014.09.087</a>'
  apa: 'Hammer, M. (2014). Oblique incidence of semi-guided waves on rectangular slab
    waveguide discontinuities: A vectorial QUEP solver. <i>Optics Communications</i>,
    <i>338</i>, 447–456. <a href="https://doi.org/10.1016/j.optcom.2014.09.087">https://doi.org/10.1016/j.optcom.2014.09.087</a>'
  bibtex: '@article{Hammer_2014, title={Oblique incidence of semi-guided waves on
    rectangular slab waveguide discontinuities: A vectorial QUEP solver}, volume={338},
    DOI={<a href="https://doi.org/10.1016/j.optcom.2014.09.087">10.1016/j.optcom.2014.09.087</a>},
    journal={Optics Communications}, publisher={Elsevier BV}, author={Hammer, Manfred},
    year={2014}, pages={447–456} }'
  chicago: 'Hammer, Manfred. “Oblique Incidence of Semi-Guided Waves on Rectangular
    Slab Waveguide Discontinuities: A Vectorial QUEP Solver.” <i>Optics Communications</i>
    338 (2014): 447–56. <a href="https://doi.org/10.1016/j.optcom.2014.09.087">https://doi.org/10.1016/j.optcom.2014.09.087</a>.'
  ieee: 'M. Hammer, “Oblique incidence of semi-guided waves on rectangular slab waveguide
    discontinuities: A vectorial QUEP solver,” <i>Optics Communications</i>, vol.
    338, pp. 447–456, 2014.'
  mla: 'Hammer, Manfred. “Oblique Incidence of Semi-Guided Waves on Rectangular Slab
    Waveguide Discontinuities: A Vectorial QUEP Solver.” <i>Optics Communications</i>,
    vol. 338, Elsevier BV, 2014, pp. 447–56, doi:<a href="https://doi.org/10.1016/j.optcom.2014.09.087">10.1016/j.optcom.2014.09.087</a>.'
  short: M. Hammer, Optics Communications 338 (2014) 447–456.
date_created: 2018-08-13T09:28:01Z
date_updated: 2022-01-06T06:59:50Z
ddc:
- '530'
department:
- _id: '61'
doi: 10.1016/j.optcom.2014.09.087
file:
- access_level: closed
  content_type: application/pdf
  creator: hclaudia
  date_created: 2018-08-13T09:29:14Z
  date_updated: 2018-08-13T09:29:14Z
  file_id: '3891'
  file_name: 2015 Hammer_Oblique incidence of semi-guided waves on rectangular slab
    waveguide discontinuities_A vectorial QUEP solver_Optics communications.pdf
  file_size: 1872449
  relation: main_file
  success: 1
file_date_updated: 2018-08-13T09:29:14Z
has_accepted_license: '1'
intvolume: '       338'
keyword:
- tet_topic_waveguide
- tet_topic_numerics
language:
- iso: eng
page: 447-456
publication: Optics Communications
publication_identifier:
  issn:
  - 0030-4018
publication_status: published
publisher: Elsevier BV
status: public
title: 'Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities:
  A vectorial QUEP solver'
type: journal_article
user_id: '55706'
volume: 338
year: '2014'
...
---
_id: '3937'
abstract:
- lang: eng
  text: "The relevance of our definition for sensitivity in refractometric sensing,
    being the relative change in the transmittance\r\nof a certain output channel
    of an optical device over the change in the refractive index of the probed\r\nmaterial,
    is discussed. It is compared to one based on spectral shift per refractive index
    unit change. Further, there\r\nis discussion on how group delay and sensitivity
    are interrelated and can be converted into each other and which\r\nphysical quantities
    are relevant for high sensitivity. As a by-product of the theory presented, a
    general expression\r\nrelating group delay and the ratio of the time-averaged
    optical energy and the input power is presented."
article_number: 1561-1567
article_type: original
author:
- first_name: Hugo J. W. M.
  full_name: Hoekstra, Hugo J. W. M.
  last_name: Hoekstra
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
citation:
  ama: Hoekstra HJWM, Hammer M. General relation for group delay and the relevance
    of group delay for refractometric sensing. <i>Journal of the Optical Society of
    America B</i>. 2014;31(7). doi:<a href="https://doi.org/10.1364/josab.31.001561">10.1364/josab.31.001561</a>
  apa: Hoekstra, H. J. W. M., &#38; Hammer, M. (2014). General relation for group
    delay and the relevance of group delay for refractometric sensing. <i>Journal
    of the Optical Society of America B</i>, <i>31</i>(7). <a href="https://doi.org/10.1364/josab.31.001561">https://doi.org/10.1364/josab.31.001561</a>
  bibtex: '@article{Hoekstra_Hammer_2014, title={General relation for group delay
    and the relevance of group delay for refractometric sensing}, volume={31}, DOI={<a
    href="https://doi.org/10.1364/josab.31.001561">10.1364/josab.31.001561</a>}, number={71561–1567},
    journal={Journal of the Optical Society of America B}, publisher={The Optical
    Society}, author={Hoekstra, Hugo J. W. M. and Hammer, Manfred}, year={2014} }'
  chicago: Hoekstra, Hugo J. W. M., and Manfred Hammer. “General Relation for Group
    Delay and the Relevance of Group Delay for Refractometric Sensing.” <i>Journal
    of the Optical Society of America B</i> 31, no. 7 (2014). <a href="https://doi.org/10.1364/josab.31.001561">https://doi.org/10.1364/josab.31.001561</a>.
  ieee: H. J. W. M. Hoekstra and M. Hammer, “General relation for group delay and
    the relevance of group delay for refractometric sensing,” <i>Journal of the Optical
    Society of America B</i>, vol. 31, no. 7, 2014.
  mla: Hoekstra, Hugo J. W. M., and Manfred Hammer. “General Relation for Group Delay
    and the Relevance of Group Delay for Refractometric Sensing.” <i>Journal of the
    Optical Society of America B</i>, vol. 31, no. 7, 1561–1567, The Optical Society,
    2014, doi:<a href="https://doi.org/10.1364/josab.31.001561">10.1364/josab.31.001561</a>.
  short: H.J.W.M. Hoekstra, M. Hammer, Journal of the Optical Society of America B
    31 (2014).
date_created: 2018-08-20T09:59:35Z
date_updated: 2022-01-06T06:59:57Z
ddc:
- '530'
department:
- _id: '61'
doi: 10.1364/josab.31.001561
file:
- access_level: closed
  content_type: application/pdf
  creator: hclaudia
  date_created: 2018-08-20T10:00:33Z
  date_updated: 2018-08-20T10:00:33Z
  file_id: '3938'
  file_name: 2014_07_Hoekstra,Hammer_General relation for group delay and the relevance
    of group delay for refractometric sensing_OSA.pdf
  file_size: 364221
  relation: main_file
  success: 1
file_date_updated: 2018-08-20T10:00:33Z
has_accepted_license: '1'
intvolume: '        31'
issue: '7'
keyword:
- tet_topic_waveguide
language:
- iso: eng
publication: Journal of the Optical Society of America B
publication_identifier:
  issn:
  - 0740-3224
  - 1520-8540
publication_status: published
publisher: The Optical Society
status: public
title: General relation for group delay and the relevance of group delay for refractometric
  sensing
type: journal_article
user_id: '55706'
volume: 31
year: '2014'
...
