Let E be a division ring and G a finite group of automorphisms of E whose elements are distinct modulo inner automorphisms of E. Given a representation ρ : A → GLd(E) of an F-algebra A, we give necessary and sufficient conditions for ρ to be writable over F = E, i.e. whether or not there exists a matrix A in GLd(E) that conjugates ρ(A) into GLd(F). We give an algorithm for constructing an A, or...
Horacio D Espinosa,
[*] K.-H. Kim, Dr. N. Moldovan, Prof. H. D. Espinosa Department of Mechanical Engineering Northwestern University 2145 Sheridan Rd., Evanston, IL 60208-3111 (USA) Fax: (+1)847-491-3915 E-mail: firstname.lastname@example.org [**] This work was supported primarily by the Nanoscale Science and Engineering Initiative of the National Science Foundation under NSF Award Number EEC-0118025. We thank Prof. C...
Selective inhibition of the polymerization leads to sub-diffraction feature sizes in direct writing lithography-a principle based on the idea of stimulated emission depletion (STED) microscopy. However, the detailed understanding of the inhibition process is a key point to further enhance the resolution of the system. The authors present experiments focused on the time dynamics of the inhibitio...
In " Writing and Writing Patterns," M^5 Marion Richardson has made a very valuab'e contribution to the art of teaching. Apart fro*11 setting forth an excellent method of teaching handwriting, these little books must help ^ child who uses them to develop an appreciatiojj of rhythm and beauty. One hopes they ^ inspire creative effort and that they shall not used merely as copy books. The examples...
In the probe-based storage concept being pursued by IBM, a MEMS based micro-scanner is used to position the storage medium relative to the read/write probes. To achieve repeatable positioning over a large storage area, it is necessary to have medium-derived position information. Dedicated servo-fields are typically employed to obtain medium-derived position information. Sub-nanometer positionin...
Luis M. Traverso,
Controlled fabrication of single and multiple nanostructures far below the diffraction limit using a method based on laser induced periodic surface structure (LIPSS) is presented. In typical LIPSS, multiple lines with a certain spatial periodicity, but often not well-aligned, were produced. In this work, well-controlled and aligned nanowires and nanogrooves with widths as small as 40 nm and 60 ...
Metal-transparent-metallic-oxide (MTMO) grayscale photomasks fabricated by direct laser writing have been proposed in recent years. The fabrication mechanism is attributed to light-induced melt-oxidization. The temporal-spatial distribution of temperature fields of indium film-glass samples under a laser pulse have been calculated by the Finite-Difference Time-Domain method. The laser action ar...
We have developed a fixed beam direct writing laser lithography system with a resolution of 400 nm at 457 nm wavelength and a writing speed of 4.2 mm/s with total system costs of less than 100 000 US$. Keyword: Laser lithography system
Writing is a way for students to develop and use their critical thinking skills as well as to demonstrate learning. The links below provide ways that writing can be used both informally and formally throughout the college curriculum and include specific methods for handling all aspects of the writing process from assignment-making to responding and grading. The final link for faculty is a mega-...
We report on the fabrication of desired magneto-photonic devices by a low one-photon absorption (LOPA) direct laser writing (DLW) technique on a photocurable nanocomposite consisting of magnetite ( Fe 3 O 4 ) nanoparticles and a commercial SU-8 photoresist. The magnetic nanocomposite was synthesized by mixing Fe 3 O 4 nanoparticles with different kinds of SU-8 photoresists. We demonstrated that...