Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Alan D. Logan"'
Autor:
Alan D. Logan, Shivangi Shree, Srivatsa Chakravarthi, Nicholas Yama, Christian Pederson, Karine Hestroffer, Fariba Hatami, Kai-Mei C. Fu
We demonstrate quasi-phase matched, triply-resonant sum frequency conversion in 10.6-um-diameter integrated gallium phosphide ring resonators. A small-signal, waveguide-to-waveguide power conversion efficiency of 8%/mW is measured for conversion from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe97b504d477f83dedba9772840f8266
Autor:
Alan D. Logan
Publikováno v:
Advances in Mathematics. 353:116-152
Fix an equilateral triangle group $T_i=\langle a, b; a^i, b^i, (ab)^i\rangle$ with $i\geq6$ arbitrary. Our main result is: for every presentation $\mathcal{P}$ of every countable group $Q$ there exists an HNN-extension $T_{\mathcal{P}}$ of $T_i$ such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2d3373afd3ee878586109921461dc2b
https://doi.org/10.1016/j.aim.2019.06.009
https://doi.org/10.1016/j.aim.2019.06.009
Publikováno v:
Frontiers in Optics + Laser Science 2021.
We demonstrate triply-resonant sum-frequency generation from telecom to visible in a gallium phosphide-on-oxide integrated photonic platform. Multi-resonant devices are essential for scalable low-power frequency conversion.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15c8318cb007275c4e176faf6f3c3a80
https://doi.org/10.1364/fio.2021.fm1b.8
https://doi.org/10.1364/fio.2021.fm1b.8
Autor:
Laura Ciobanu, Alan D. Logan
Publikováno v:
Developments in Language Theory ISBN: 9783030815073
DLT
DLT
The Post Correspondence Problem is a classical decision problem about equalisers of free monoid homomorphisms. We prove connections between several variations of this classical problem, but in the setting of free groups and free group homomorphisms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8383a3f93b2043c9283266c354740edd
https://doi.org/10.1007/978-3-030-81508-0_8
https://doi.org/10.1007/978-3-030-81508-0_8
Autor:
Alan D. Logan, Laura Ciobanu
We give an algorithm which computes the fixed subgroup and the stable image for any endomorphism of the free group of rank two $F_2$, answering for $F_2$ a question posed by Stallings in 1984 and a question of Ventura.
Comment: 34 pages
Comment: 34 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e9e0ff6a2fe4b43c1275f4397befa51
Autor:
Lillian Thiel, Alan D. Logan, Srivatsa Chakravarthi, Shivangi Shree, Karine Hestroffer, Fariba Hatami, Kai-Mei C. Fu
Publikováno v:
Optics Express. 30:6921
We demonstrate post-fabrication target-wavelength trimming with a gallium phosphide on a silicon nitride integrated photonic platform using controlled electron-beam exposure of hydrogen silsesquioxane cladding. A linear relationship between the elect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5a81da0c6d9c9cb8dc320899ce7e1fa
https://doi.org/10.1364/oe.446244
https://doi.org/10.1364/oe.446244
Autor:
Alan D. Logan, Michael Gould, Emma R. Schmidgall, Karine Hestroffer, Zin Lin, Weiliang Jin, Arka Majumdar, Fariba Hatami, Alejandro W. Rodriguez, Kai-Mei C. Fu
Publikováno v:
Conference on Lasers and Electro-Optics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee1be3e1393ab80c5826ad5c522d3768
https://doi.org/10.1364/cleo_si.2019.sf1h.7
https://doi.org/10.1364/cleo_si.2019.sf1h.7
Autor:
E. R. Schmidgall, Zin Lin, Kai-Mei C. Fu, Karine Hestroffer, Michael N. Gould, Weiliang Jin, Fariba Hatami, Arka Majumdar, Alejandro W. Rodriguez, Alan D. Logan
Second harmonic conversion from 1550~nm to 775~nm with an efficiency of 400% W$^{-1}$ is demonstrated in a gallium phosphide (GaP) on oxide integrated photonic platform. The platform consists of doubly-resonant, phase-matched ring resonators with qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f86ac59653278a7b5ec462afa7324ebe
http://arxiv.org/abs/1810.06393
http://arxiv.org/abs/1810.06393
Autor:
Alan D. Logan
We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification provides a method to construct automorphism-induced HNN-extensions which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e4f96e6c3a45f876ef0c5278a5951e7
https://eprints.gla.ac.uk/161111/13/161111.pdf
https://eprints.gla.ac.uk/161111/13/161111.pdf
Autor:
Alan D. Logan
The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion. To this classification we apply recent algorithmic results of Dahmani--Guirardel, which yields an algorithm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ade830ef002947ed119c2c596702fba
https://eprints.gla.ac.uk/121423/1/121423.pdf
https://eprints.gla.ac.uk/121423/1/121423.pdf