Hamilton’s theory of turns and a new geometrical representation for polarization optics

Hamilton’s theory of turns for the group SU(2) is exploited to develop a new geometrical representation for polarization optics. While pure polarization states are represented by points on the Poincaré sphere, linear intensity preserving optical systems are represented by great circle arcs on another sphere. Composition of systems, and their action on polarization states, are both reduced to geometrical operations. Several synthesis problems, especially in relation to the Pancharatnam-Berry-Aharonov-Anandan geometrical phase, are clarified with the new representation. The general relation between the geometrical phase, and the solid angle on the Poincaré sphere, is established.

High efficiency infrared antireflection coatings (ARCs) for space optics

Simple ARC designs for germanium (Ge) optics useful in spaceborne electro-optical systems have been generated. It is seen that the designs which are non-quarterwave in nature are efficient in terms of spectral coverage and residual reflection loss. They have been realised experimentally and the resulting ARCs are found to have very good spectral and durability properties.

A TEM study on TiB2-20%MoSi2 composite: Microstructure development and densification mechanism

We report the results of transmission electron microscopy (TEM) study, carried out on a hot-pressed TiB2-20 wt.%MoSi2 composite. One of the important microstructural observations includes the detection of crystalline TiSi2 at triple grain junctions. The densification mechanism is discussed, based on experimental observations and thermodynamic analysis

Identification and expression of the 20 kd structural protein gene of colitis bacteriophage

The 2.3 kb BamHI fragment from the colitis bacteriophage DNA was transcribed and translated into a 20 kd structural protein P6, in a coupled transcription-translation system derived from Escherichia coli. This protein was expressed in vivo by the 2.3 kb DNA cloned in pBR322. The gene with the regulatory elements for this protein was located on the 680 bp AvaII fragment of the insert DNA. It hybridized with two RNAs of sizes 520 and 1630 nucleotides indicating that both are messengers for the 20 kd protein. Dot-blot hybridization showed that the transcripts for P6 reached a maximum level at 12 min after phage infection.

Alaviisaudenhampaan juuren etäisyys alaleuanhermosta 20-vuotiailla

Alaviisaudenhampaiden poistojen harvinaisiin komplikaatioihin kuuluu alaleuanhermon vaurioituminen. Ennen poistoa panoraamakuvasta määritetään hampaan ja hermokanavan välinen etäisyys: rakenteiden kuvautuessa erilleen ei hermovaurion vaaraa katsota olevan. Tutkielman tarkoituksena oli selvittää, kuinka usein alaviisaudenhammas ja hermokanava kuvautuvat panoraamakuvassa päällekkäin, erilleen tai sivuavat toisiaan. Tutkimusaineiston panoraamakuvat on otettu Ylioppilaiden Terveydenhoitosäätiöllä Helsingissä osana normaalia hammashoitoa 20-vuotiaista (20,3±0,6 vuotta) Helsingin yliopiston opiskelijoista (N=137, naisia 71 %). Mukaan otetuissa kuvissa näkyi molemmat alaviisaudenhampaat. Panoraamakuvista mitattiin alaviisaudenhampaan etäisyys hermokanavasta millimetreinä. Tilastollisena menetelmänä käytettiin Khin-neliötestiä ja merkitsevänä erona P<0,05. Tulosten mukaan vain viidennes (19 %) alaviisaudenhampaista kuvautui erilleen hermokanavasta. Sivuavia oli 21 % ja päällekkäin kuvautuvia 60 %. Naisilla hermokanavan kanssa päällekkäin kuvautuvia hampaita oli huomattavasti enemmän kuin miehillä (65 % ja 46 %, P=0,003). Johtopäätöksenä oli, että ennen poistoa lähes kaikkien kohdalla (4/5) on pohdittava hermovaurion mahdollisuutta ja otettava potilas mukaan hoitopäätöksen tekoon. Tutkimuksen tulos on tärkeä, sillä alaviisaudenhampaita poistetaan paljon ja panoraamakuvaus on yleisin tutkimus ennen poistoja.

Simultaneous display of image and spectrum in the same plane: a generalized analysis

A generalized analysis, using the Vander Lugt operational notation, of the building block optical system comprising a single holographic optical element (HOE) for achieving simultaneous display of the spectrum and the image of an object in a single plane, has been carried out. The salient features of this analysis are: (1) it allows comprehensive characterization of the HOE, (2) it provides insights into the many possible configurations for the system, and (3) it explains the existing results in a consistent manner.

The structure of 3[beta],20[alpha]-bis(dimethylamino)pregn-5-en-18-ol

Abstract. C25H44N20 , M r= 388.6, orthorhombic, P21212 I, a = 6.185 (2), b = 18.123 (2), c = 20.852 (2) A, U= 2337.2 A 3, Z = 4, D x = 1.104 Mg m -a, 2(Cu Ka) = 1.5418 A,/~ = 0.47 mm -~, F(000) = 864, T= 293 K. Final R - 0.038 for 1791 reflections with I >_ 3a(I). Rings A and C are in chair conformation. Ring B is in an 8fl,9a-half-chair conformation. Ring D adopts a conformation in between 13fl,14a-half-chair and 13t-envelope. There is a quasitrans fusion of rings A and B, whilst ring systems B/C and C/D are trans fused about the bonds C(8)-C(9)and C(13)-C(14).

Mass analyser optics for wide-beam ion sources in ion implantation systems

Ion implantation systems, used for producing high-current ion beams, employ wide-beam ion sources which are rotated through 90 degrees . These sources need mass analyser optics which are different from the conventional design. The authors present results of calculation of the image distance as a function of entrance and exit angles of a sector magnet mass analyser having such a source. These computations have been performed for the magnetic deflection angles 45 degrees , 60 degrees and 90 degrees . The details of the computations carried out using the computer program MODBEAM, developed for this purpose, are also discussed.

Silva Fennica Vol. 20, 1986.

Julkaistu Silva Fennica Vol. 20(4) -numeron liitteenä.

An in situ electron microscope investigation of the icosahedral-to-decagonal quasicrystalline transformation in Al-20 at.% Mn

The solid-state transformation behaviour of the icosahedral phase in rapidly solidified Al-20 at.% Mn has been investigated by in situ heating experiments in the transmission electron microscope. As-rapidly-solidified Al-20 at.% Mn consists mainly of a dendritic icosahedral phase, with a small amount of interdendritic f.c.c. agr-Al. During subsequent heat treatment at temperatures below about 500°C, the dendritic icosahedral phase grows and consumes the interdendritic agr-Al. At about 500°C the decagonal phase nucleates near icosahedral dendrite and grain boundaries and then grows into the icosahedral matrix by lateral motion of ledges 10-20 nm high across facet planes normal to the twofold symmetry axes. At about 600°C the decagonal phase transforms into a crystalline phase. The present study suggests that solid-state decomposition of the icosahedral phase is the mechanism of decagonal phase formation in as-rapidly-solidified Al-Mn alloys.

Minimal three-component SU(2) gadget for polarization optics

Two identities involving quarter-wave plates and half-wave plates are established. These are used to improve on an earlier gadget involving four wave plates leading to a new gadget involving just three plates, a half-wave plate and two quarter-wave plates, which can realize all SU(2) polarization transformations. This gadget is shown to involve the minimum number of quarter-wave and half-wave plates. The analysis leads to a decomposition theorem for SU (2) matrices in terms of factors which are symmetric fourth and eighth roots of the identity.