{"title":"The general form of the Smith-Helmholtz equation","authors":"T. Smith","doi":"10.1088/1475-4878/31/5/301","DOIUrl":"https://doi.org/10.1088/1475-4878/31/5/301","url":null,"abstract":"The Smith-Helmholtz equation μ sin θy = μ' sin θ'y' is only applicable to infinitesimal objects and images. When both field and aperture are large, in addition to the ordinary equation involving lengths measured along a ray, there are three exact equations of the type xx' a + μ'L'x'b - μLxc - μLμ'L'd = 0, bc - ad = I, all expressing the same correspondence. This correspondence is primarily geometrical rather than optical. The coefficient a in all these equations is the secondary power of the system for the ray considered. When the instrument is axially symmetrical the coefficients in two of the equations have the values b = c = I, d = 0. The third equation can be made to take the same form by moving the origins to suitable points on the axis of the instrument. The equations are considered in their application to asymmetrical instruments. In telescopic systems axial symmetry is, in general, necessary for the Smith-Helmholtz equality to be applicable. From the general equations a great variety of formulae for computing conjugate points can be obtained. Equations of the same one-one class can be found for other projective relations, but, in general, they are less useful than the corrected Smith-Helmholtz equations, because when the linear and angular variables are associated as desired the positions of the origins must be computed instead of being recognisable by inspection.","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115171559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A chromatic method of making optical settings","authors":"D. S. Perfect","doi":"10.1088/1475-4878/31/5/302","DOIUrl":"https://doi.org/10.1088/1475-4878/31/5/302","url":null,"abstract":"The paper describes a visual modification of a previously described photo-electric method of measuring small angles. Great simplification is introduced by the substitution of visual for photo-electric equipment at the sacrifice of sensitivity. Angular displacements are measured by means of a hollow prism previously described. The settings are made by causing an image of a fine slit to fall on the sharp edge of a steel prism. The two components of the divided beam, after being coloured respectively red and green, are recombined, and a visual method is employed to observe the resulting colour. The relative position of the prism edge and image determines the proportion of red and green and is very sharply defined by the position of best resultant yellow. The settings have average errors of 0.2 second and are less fatiguing than cross-wire settings.","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128451949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A description of the three prism spectro-graph for the royal observatory, Edinburgh","authors":"J. H. Dowell","doi":"10.1088/1475-4878/31/4/305","DOIUrl":"https://doi.org/10.1088/1475-4878/31/4/305","url":null,"abstract":"","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130653838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A re-determination of the mixture curves of the spectrum","authors":"W. D. Wright","doi":"10.1088/1475-4878/31/4/303","DOIUrl":"https://doi.org/10.1088/1475-4878/31/4/303","url":null,"abstract":"The paper describes a method that has been developed for calculating the sensation curves and mixtures curves from an average set of trichromatic coefficients and the standard luminosity curve, without recourse to any further experimental data. A complete table of colour mixture data is given. The practical value of different methods of colorimetry and the most desirable primaries for use as reference standards are briefly discussed.","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124794138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A description of the 36-inch aperture telescope for the royal observatory, Edinburgh","authors":"C. Young","doi":"10.1088/1475-4878/31/4/306","DOIUrl":"https://doi.org/10.1088/1475-4878/31/4/306","url":null,"abstract":"","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127208174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The purpose and design of the new equipment at the royal observatory, Edinburgh","authors":"R. A. Sampson","doi":"10.1088/1475-4878/31/4/304","DOIUrl":"https://doi.org/10.1088/1475-4878/31/4/304","url":null,"abstract":"The author deals with the reasons which determined the form of the telescope - a Cassegrain reflector of 36 inches aperture and 54 feet focal length, serving a spectrograph of one, two or three prisms - and indicates the problems to which it is intended to apply it. These are, generally, the intensity of stellar light for different parts of the spectrum. It is pointed out that even an empiric treatment of this question led Adams to a method that had doubled our knowledge of stellar distances. A theoretical treatment, comprising a discussion of the behaviour of the photographic plate, led to fixing the temperature sequence. A slit spectrograph is required in order to deal with the lines. The state of the lines, combined with that of the continuous spectrum, conveys all the information that reaches us of the star's constitution and atmosphere. Subsidiary but highly interesting questions are those of selective absorption of light by the atmosphere of the earth. Behind these are the theoretical and laboratory investigations of the relation between intensity of light and the density of silver deposit on the photographic plate. The whole presents an attractive field.","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"38 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120927575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The lustre of textile fibres and a method of measurement","authors":"M. Pelton","doi":"10.1088/1475-4878/31/4/302","DOIUrl":"https://doi.org/10.1088/1475-4878/31/4/302","url":null,"abstract":"The lustre of textile fibres is due to a geometrical property of transparent cylindrical filaments with polished surfaces. Some of the factors, notably double refraction and diffraction, which might affect lustre are discussed, and a method is suggested for measuring lustre based on the high lights visible on a curved lustrous surface.","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126237082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optics in Radio Transmission and other fresh fields","authors":"F. Twyman","doi":"10.1088/1475-4878/31/3/301","DOIUrl":"https://doi.org/10.1088/1475-4878/31/3/301","url":null,"abstract":"","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130530688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exhibit of a new system of test type illumination","authors":"Messrs Raphael's Ltd.","doi":"10.1088/1475-4878/31/3/304","DOIUrl":"https://doi.org/10.1088/1475-4878/31/3/304","url":null,"abstract":"","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129014257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exhibit of scientype occluding glasses","authors":"Messrs Raphael's Ltd.","doi":"10.1088/1475-4878/31/3/305","DOIUrl":"https://doi.org/10.1088/1475-4878/31/3/305","url":null,"abstract":"","PeriodicalId":405858,"journal":{"name":"Transactions of The Optical Society","volume":"19 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1930-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120988437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}