Improved Abel transform inversion: application to COSMIC/FORMOSAT 3 ionospheric occultations
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1 Rh goup of Aonomy n Eom mpov Abl nfom nvon: pplon o COMC/FORMOAT 3 onoph oulon Angl Agón Angl, Mnul Hnánz j, J.Mgul Jun, Jum nz (), Dv Alll (2) Yu An ou, Chn Chh (3) () R. oup Aon. & om, Thnl Unvy of Clon (/UC), Blon (pn) (2) Ob. Eb / Unv. Rmon lull, Roqu (pn) (3) Cn fo p n Rmo nng Rh (CRR), Chung, Twn Con ml: ngl@m4.up.u FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
2 ( ) 3 K nouon Dung oulon vn, EO v h nm o bhn h Eh lmb. Th gnl vl hough h moph blow h EO ob, bng vy nv o h vl fvy gn. A onoph hgh h mn nv o vl lon ny pofl. Rh goup of Aonomy n Eom ) 2 K ( 2 m b l C g n. n o O h p n u o g l m 2 ) K ( p o m l u h g n l u O O E.. ) 4 K ( v h E gnl oon of moph EO hgh ng: 3-2km FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 2
3 ( ) 3 K nouon Oulon xmpl: COMC TEC v. m A ul of h vy goo gomy h lon ny pofl on h oulon gon n b ly ompu by h Abl nfom nvon: by mkng mplfon uh nglng h hozonl gn: Cll Abl nvon umng lon ny phl ymmy EO hgh Coponng lon ny pofl (Cll Abl nvon --, mpov nvon -blu-) O ll b by kng no oun h hozonl lon onn gn (mpov Abl nvon, Hnánz-j, Jun n nz 2). Rh goup of Aonomy n Eom ) 2 K ( 2 m b l C g n. n o O h p n u o g l m 2 ) K ( p o m l u h g n l u O O E.. ) 4 K ( v h E FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 3
4 Rh goup of Aonomy n Eom Mn gol of h wok To how h quvln bwn vng lon ny pofl fom bnng, o fom obv TEC umng gh ln popgon, lo wokng wh h mpov Abl nvon (ppl n Hnnzj l. 2, -Fnnz l. 23 on /MET, AC/C, CHAM, pon ou n T l. 2). Th h bn on pong n h wo wy, on pnv ub of FORMOAT-3/COMC. FORMOAT-3/COMC h off n xlln o o h, hnk o h mulnou Conllon obvon. n: n pul whn wokng wh bnng w hv bn bl o omp h lok f fo olvng h bnng ngl v fom Doppl ph x n wo wy fom () ubng h onoph-f ombnon of ph, o () by wokng n oubl-ffn gng o on EO. FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 4
5 Rh goup of Aonomy n Eom Cll Abl nfom ppl o Th b mumn h ph ph: Fom, h ph x fn: = EO n = EO Th hng of h x ph, ll Doppl hf x (o ph x), wh gong o bom ou npu obvbl: ( ) D = Th pojon of ll obl moon long gnl y-ph pou Doppl hf boh α h nm n h v. Th funmnl obvbl h Doppl hf x,v whh ffn hn xp fom only vlo u o h ll n v lok f n h moph bnng of h gnl 5 (onoph n opoph). T FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
6 Rh goup of Aonomy n Eom Cll Abl nfom ppl o Th gnl ph uv u o h hng n h fv nx long h y joy ong o nll lw olly, n phl ymm mum, nll lw pl by Bougu lw mpong n x onn. ll poon n vlo known (boh n EO) fom nvgon mg. Clok f qu (fo nn oubl ffnng). Ex Doppl known v fom obvon. Wh lol phl ymmy umpon, h bnng ngl wll b mn o o h mp α pm. An x umpon n: fv nx vt poon.. qul o EO n ng oulon vo, wh nglgbl o [Hjj n Romn, 998]. Ung nvon hnqu, h fv nx wll b v fom h knowlg of bnng ngl. FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 6
7 x Doppl hf Eh oulon vn npnnly olv Th ll phl ymmy hypoh n b xp : Unknown o b olv Rh goup of Aonomy n Eom Cll Abl nfom ppl o bnng ngl gnl Ruv oluon ng fom h ou y. opon o h bnng ngl of h y wh mp pm p. FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 7
8 A mo gnl ppoxmon hn h phl ymmy um: w unknown n of Rh goup of Aonomy n Eom mpov Abl nfom VTEC nfomon xnlly pov FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 hp funon A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 8
9 Rh goup of Aonomy n Eom FORMOAT 3/COMC mon Conllon Obvng ym fo Moology onoph n Clm (ROCAT-3) 6 ll lunh n Ap.'6 bngng 2-fq. Ob: l=8km, n=72g, = Wh + p Wh lobl obvon of: u, Tmpu, Humy Rfvy TEC, onoph Elon Dny onoph nllon Dmon quoponl lmb ounng wh globl ovg n n-l m nfomon vlbl Clm Monong o Rh FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
10 Rh goup of Aonomy n Eom Bnng ngl: Clbon of ph x To ompu u o oulon nvon, ny o mov h f of h nm n v lok fom h w ph. Cllly, h lok f h bn mov by oubl ffnng ung ful (goun), bu n b ff by ph mulph. Wh EO onllon ploy (uh FORMOAT-3/CO MC), ompl oubl ffnng ovg n b b pov. FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
11 Rh goup of Aonomy n Eom Bnng ngl: Clbon of ph x Alnv ppoh Th onoph-f ln ombnon of obvbl,, h bn u o mov h lok f. Blly, h x Doppl of h bn ub fom h x Doppl of. mpl hypoh: & 2 m ph Common lok wll b nl. T ( C ) = FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
12 Rh goup of Aonomy n Eom Exmpl of quvln of n 2 ph x Blu: DD ph x Hgh (km) R: DD ph x n: DD2*(f2**2/f**2 ) ph x onoph gnl h x (m/) FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 Topoph gnl 2 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
13 Rh goup of Aonomy n Eom Bnng ngl: Clbon of x ph ly Alnv ppoh Th ln ombnon of obvbl,, h bn u o mov h lok f. Typl xmpl gvn blow: Hgh (km) Blu: ompu fom - onoph gnl Topoph gnl R: ompu fom by oubl ffnng FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 h x (m/) A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 3
14 o oulon Ap Comp oulon FORMOAT-3/COMC Oulon ng pon / onoon Ron o ul ou v pofl: Oulon oo low n hgh Oulon n oo hgh n hgh Mnml uon Oulon fl yl lp hk FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j o o-lo onoon Rh goup of Aonomy n Eom no: Jn 6h o 5h, 27 4
15 7-% fof2 lv o fo 67% pnl Rh goup of Aonomy n Eom Amn of fn vlu: onoon lbly onoon ou: DR Wokhop, wb Tp, 3 Oob 28 FORMOAT 3/COMC Mxmum oloon n o 2km n hou T m pn A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 5
16 C o lo o n 2 k m p b ly pbly 45% b p h l y m D y of y Rh goup of Aonomy n Eom Rul: fof2 fom bnng ngl l v R M f f n (% ) F2 ly l fquny fof2a.ompon wh ollo Agón Angl, J.M. Jun, J. nz, M. Hnánz j onoon FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28
17 Rh goup of Aonomy n Eom Conluon Th ul fom h uy ung FORMOAT-3/COMC oulon how: Ufuln of pbly hnqu fo h vl of lon n fom bnng ngl. Fo onoph ounng, h quvln of ung n bnng ngl mn npu h bn hown on h nlyz Th onfm pvou ul n whh h ffn ph bwn & 2 nno b on wbk whn nvng pofl [T l., 2]. Th mpov Abl nfom pov mo u mnon of fof2 (~45% b) gl of h hon obvbl, h o bnng ngl. Whn wokng wh bnng ngl, lok n b lb by mn of h onoph-f ombnon of ph vong oubl ffnng g (vl fo onoph hgh). Fuu wok: uy of ponl xnon of mpov Abl ppoh o opoph poflng.7 FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j
18 --Fnnz, M., M. Hnnz-j, J. M. Jun, J. nz, mpovmn of onoph lon ny mon wh MET oulon ung Abl nvon n VTEC nfomon, Jounl of ophyl Rh, vol. 8, n. A9, 338, o:.29/23ja9952, Hnnz-j, M., J. M. Jun, J. nz, mpovng h Abl nvon by ng goun EO o oulon n h onoph ounng, ophyl Rh, 27 (6) : : , 2. - T,.C., W. H. T, W.. hn, F. T. Bky, J. Y. u, Compon of /MET v onoph lon ny n goun b onoon, Eh ln p, 53, 93 25, 2. Rh goup of Aonomy n Eom Rfn FORMOAT 3/COMC Wokhop, Tp, 3 Oob 28 A. Agón Angl, J.M. Jun, J. nz, M. Hnánz j 8
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