---
res:
bibo_abstract:
- Semi-guided waves confined in dielectric slab waveguides are being considered
for oblique angles of propagation. If the waves encounter a linear discontinuity
of (mostly) arbitrary shape and extension, a variant of Snell's law applies, separately
for each pair of incoming and outgoing modes. Depending on the effective indices
involved, and on the angle of incidence, power transfer to specific outgoing waves
can be allowed or forbidden. In particular, critical angles of incidence can be
identified, beyond which any power transfer to non-guided waves is forbidden,
i.e. all radiative losses are suppressed. In that case the input power is carried
away from the discontinuity exclusively by reflected semi-guided waves in the
input slab, or by semi-guided waves that are transmitted into other outgoing slab
waveguides. Vectorial equations on a 2-D cross sectional domain apply. These are
formally identical to the equations that govern the eigenmodes of 3-D channel
waveguides. Here, however, these need to be solved not as an eigenvalue problem,
but as an inhomogeneous problem with a right-hand-side that is given by the incoming
semi-guided wave, and subject to transparent boundary conditions. The equations
resemble a standard 2-D Helmholtz problem, with an effective permittivity in place
of the actual relative permittivity. Depending on the properties of the incoming
wave, including the angle of incidence, this effective permittivity can become
locally negative, causing the suppression of propagating outgoing waves. A series
of high-contrast example configurations are discussed, where these effects lead
to - in some respects - quite surprising transmission characteristics.
bibo_authorlist:
- foaf_Person:
foaf_givenName: Manfred
foaf_name: Hammer, Manfred
foaf_surname: Hammer
foaf_workInfoHomepage: http://www.librecat.org/personId=48077
- foaf_Person:
foaf_givenName: Lena
foaf_name: Ebers, Lena
foaf_surname: Ebers
foaf_workInfoHomepage: http://www.librecat.org/personId=40428
- foaf_Person:
foaf_givenName: Andre
foaf_name: Hildebrandt, Andre
foaf_surname: Hildebrandt
- foaf_Person:
foaf_givenName: Samer
foaf_name: Alhaddad, Samer
foaf_surname: Alhaddad
foaf_workInfoHomepage: http://www.librecat.org/personId=42456
- foaf_Person:
foaf_givenName: Jens
foaf_name: Förstner, Jens
foaf_surname: Förstner
foaf_workInfoHomepage: http://www.librecat.org/personId=158
orcid: 0000-0001-7059-9862
bibo_doi: 10.1109/mmet.2018.8460455
dct_date: 2018^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/9781538654385
dct_publisher: IEEE@
dct_subject:
- tet_topic_waveguides
dct_title: 'Oblique Semi-Guided Waves: 2-D Integrated Photonics with Negative Effective
Permittivity@'
...