Approximate analytic expressions using Stokes model for tokamak polarimetry and their range of validity

F. P. Orsitto,S. E. Segre,S. Abduallev,M. Abhangi,P Abreu,M. Afzal,K. M. Aggarwal,Tommy Ahlgren,J.H. Ahn,Leena Aho-Mantila,Nobuyuki Aiba,Markus Airila,Raffaele Albanese,V. Aldred,D. Alegre,E. Alessi,P. Aleynikov,Alberto Alfier,A. Alkseev,M. Allinson,B. Alper,Eduardo Alves,Giuseppe Ambrosino,Roberto Ambrosino,L. Amicucci,V. Amosov,E. Andersson-Sunden,Maurizio Angelone,M. Anghel,C. Angioni,L.C. Appel,C. Appelbee,Paolo Arena,Marco Ariola,H. Arnichand,S Arshad,A. Ash,Naoko Ashikawa,V. Aslanyan,Otto Asunta,Fulvio Auriemma,Y. Austin,L. Avotina,M. D. Axton,C Ayres,M. Bacharis,A. Baciero,D Baião,S Bailey,A. Baker,I. Balboa,M. Balden,N. Balshaw,R. Bament,J W Banks,Y.F. Baranov,M. A. Barnard,David J. Barnes,Michael Barnes,Robin. Barnsley,A. Baron-Wiechec,L. Barrera-Orte,M. Baruzzo,V. Basiuk,M Bassan,R. Bastow,António J.N. Batista,Paola Batistoni,R. Baughan,B. Bauvir,Larry R Baylor,Boris Bazylev,J. Beal,P. S. Beaumont,M. Beckers,B. Beckett,A. Becoulet,N. Bekris,M. Beldishevski,K. W. Bell,F Belli,M. Bellinger,E. Belonohy,N. Ben Ayed,N. A. Benterman,H. Bergsaker,J Bernardo,M. Bernert,M Berry,Luciano Bertalot,C. Beşliu,M. Beurskens,Bohdan Bieg,J. Bielecki,T.M. Biewer,M. Bigi,P. Bilkova,F. Binda,A. Bisoffi,João P. S. Bizarro,Carolina Björkas,J. K. Blackburn,K. Blackman,T. R. Blackman,P. Blanchard,P. Blatchford,V. Bobkov,A. Boboc,G. Bodnár,O. Bogar,Inessa Bolshakova,Tommaso Bolzonella,N Bonanomi,F Bonelli,J. E. Boom,Jean Paul Booth,D. N. Borba,D. Borodin,I. Borodkina,A. Botrugno,C. Bottereau,P. Boulting,C. Bourdelle,M. Bowden,C. Bower,C Bowman,T. Boyce,C. Boyd,H. J. Boyer,J. M. A. Bradshaw,V. Braic,R. Bravanec,Boris Breizman,Sylvain Bremond,P. D. Brennan,S. Breton,A Brett,S. Brezinsek,M. D. J. Bright,M. Brix,W. Broeckx,M. Brombin,A. Broslawski,D.P.D. Brown,M. Brown,Elena Bruno,J. Bucalossi,J. Buch,J Buchanan,M.A. Buckley,R.V. Budny,Hugo Bufferand,M. Bulman,N. Bulmer,P Bunting,P. Buratti,A. Burckhart,Arturo Buscarino,Angela Busse,N.K. Butler,Igor Bykov,J. Byrne,P. Cahyna,G. Calabro,Ivan Calvo,Y. Camenen,P. Camp,D. C. Campling,J Cane,Barbara Cannas,A.J. Capel,P. Card,A. Cardinali,P. Carman,M. Carr,D. Carralero,L. Carraro,B.B. Carvalho,Ivo S. Carvalho,Patricia Almeida Carvalho,F. J. Casson,C. Castaldo,N. Catarino,J Caumont,F. Causa,R. Cavazzana,K. Cave-Ayland,Mario Cavinato,Marco Cecconello,Silvio Ceccuzzi,E Cecil,Angelo Cenedese,R. Cesário,C. D. Challis,M Chandler,D. Chandra,C. S. Chang,A.V. Chankin,I T Chapman,Sandra C. Chapman,Maryna Chernyshova,Giuseppe Chitarin,Guido Ciraolo,D. Ćirić,J. Citrin,F. Clairet,E. Clark,M. Clark,R. Clarkson,D. Clatworthy,C. Clements,M. Cleverly,J.P. Coad,P. A. Coates,A. Cobalt,V. Coccorese,V. Cocilovo,Stefano Coda,R. Coelho,J. W. Coenen,I. H. Coffey,Laurent Colas,S. Collins,D. Conka,Sean Conroy,N.J. Conway,D. Coombs,D Cooper,S.R. Cooper,C. Corradino,Y Corre,G Corrigan,S. Cortés,D. P. Coster,A. S. Couchman,M. Cox,Teddy Craciunescu,S. Cramp,R. Craven,F. Crisanti,G Croci,D Croft,Kristel Crombe,R. Crowe,Nuno Cruz,G. 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Yavorskij,M. G. Yoo,C Young,D. Young,I. D. Young,R. Young,J. Zacks,R. Zagórski,F.S. Zaitsev,Roberto Zanino,A. Zarins,K.-D. Zastrow,M Zerbini,W. Zhang,Y. Zhou,Enrico Zilli,Vasile Zoita,S. Zoletnik,I. Zychor

Approximate analytic expressions using Stokes model for tokamak polarimetry and their range of validity

2019

The analysis of the polarimetry measurements has the aim of validating models (De Marco and Segre 1972 Plasma Phys. 14 245), with a careful attention to the clarification of their limits of application. In this paper a new approximation method is introduced, the so-called special constant Omega direction (SCOD), which gives an analytical solution to the polarimetry exact Stokes model equations. The available approximate solutions (including SCOD) of the polarimetry propagation equations are presented, compared and their application limits determined, using a reference tokamak configuration, which is a simplified equilibrium for a circular tokamak. The SCOD approximation is compared successfully to the Stokes model in the context also of equilibria evaluated for two JET discharges. The approximation methods are analytical or very simple mathematical expressions which can also be used in equilibrium codes for their optimization.

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