flpohklqae- MOCTb KOTOPblX 3aBMCklT OT BeKTOpa E fl0 3aKOHY f ll = fz2 =

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3 rae x 1, X29 B - seuec~se~~ble ~OCTO~HH~~. Tpe6oea~me paee~c~sa TaHretiqManbHux coctasnmowx Ha rpahmqe pas~ena npnsoamt K ~eo6- XOAMMOCTkl PaCCMaTpMBaTb fiba BMAa /4/ B 3aBMCMMO- CTM OT TOTO, B K ~ K O CTefleHM ~ BXOAMT B /4/ TaHreHqManbHaR KhilO- HeHTa. 6 fianb~ehlle~ 6 y ~ COKpaueHHO e ~ 0603HaW~b: 3aBMCMMOCTb MeMfiy KOMflOHeHTaMM BeKTOpa BMAa /3/-KO BMAa /4/ nepeoro TMna / ~ a ~ r e ~ q ~ akomnohehta n b ~ a ~ B nepeoii ctenew - fll /napa6ono~n/, swa /4/ BToporo TMna /~a~re~qmanbna~ KOMflOHeHTa BO BTOPO~ C T ~ ~ ~ H- M fl2. / T~K, HaflpMMep, 3aflMCb fl1-fl2 6yAe~ 03HaLiaTb, lrt0 YHK~MR f HMeeT BMA /4/, n p ~ r e ~ ~ a ~ r e ~ q ~ acoc~asn~mqa~ n b ~ a ~ BXOAMT B f B nepeoii ctenehm, a aria - BMA /4/, HO TanreHqManbHaR COCTaBnRwgR BXOAMT B f 2 09 BTOPO~~ CTefleHM. fl0fi06~bli Me CMblCn MMeKlT 0603tiare~MR TMna fll-ko, KO-fll, fl2-fll, fl2-fll, fl2-ko, K@-fl2. Clepe3 ai O ~ O ~ H ~ sen~r~ny ~ H M paw H, x,, xli, repes c - ~ e - KOTOP* ~O~T~RHHYK~, A 11 =, A = A, /fl2/ At = Az, A~ = \ A~ + A: // p = B / ~ B.. lcnm pewewe MueTcR Knacce BeueCTBeHHUX rhcen, TO ect?c-tbehhble OrPaHML(eHMR Ha flapametpbl CneAytOT HellOCpeACTBeHHO M3 lpblbeaehhblx BblpaMe~MR. 6 ~ ~ R M O ~ ~ O CMCTeMe ~ ~ H O R KOOPAMHaT flonyrmm CnefiwMe KnaCCbl TO~H~X /~e3~e pewe~~iil A = A /:. A,,, = B2b. A2, = B2((1 - x12b2)x;:)*, A,, = B,(( x 11 p2b2) x ~ )% f 1 - b=-(c? \3 (Xyk - ~ 3 % ) 2 rae K ~ K, y, K = 0, b + b, b CooTBeTcTBywero nnacca M3 pacc~o~pe&blx ewe, b 2x = bcos + 2, b 2y = bsind 2, b lx = pbco~+~. = b ix CBR3aHM MeMay ~060ii COOTHOUleHMeM K + K: + ~ 2 2

4 1y 4 = ) arctg : (, b lz = b2,. a1x XOTR 6b1 OAHO M3 ai,he PaBHO 1,

5 onpeaenwotcq, KaK B Knacce 1.3 Hnu B Knacce 1.1. i.i8(~0-ni). A l l = Bl((1 - x11p2b2) X;:)'. onpeaenmotcn, KaK B Knacce 1.2. i.ig(n2-ni). A,, Aln, Az,, OlpeAeJlRlOTCR TaK Me, KaK H B lpeamayu(em KnaCCe. B ~HJ~HHA~H'~~cKo~ CHCTeMe KOOPAHHaT MOrYT 6bl~b TaKW flonyqe- Hbl KnaCCb TOqHblX peuehhfi, ecnh KOMflOHeHTbl BeKTOPOB 3aBHCRT OT r HZ'. 1.20(KO, n, KO-n, n-ko). Ko~noHeH~bl A ij ~~BHCRT TOnbKO OT r. A,,. = Ail acos4 + Ail (1 - a2)%sin+, A,, =A,, - lpklpae~~sa~ Air kl A Ha rpahhue conprmetihg, ~~HXOAHM K ycno- BHW All = A,,. TO ectb, B ~ H J ~ H H A P H ~ ~ C K O CHCTeMe ~ KOOPAMHaT 40p~ynbl AnR KOMnOHeHTOB BeKTOpOB Aij, lojlyclehhme AnR n2-n? vl ll-ll, coenaaai0-r Memny co6oi. Ecn~ me B O ~ ~ ~ C TGRi X H G2 A ~ ~ C T B OflepaToPM ~ T L = A + fi (Ail,Ale, 1,) c $YHK~HFMH paa-~~q~~x TH~OB, TO nonyqm cnefiyroqne p e 3 y n b ~ a ~ ~. 1.17(n1-n2 vnh nl-ko).

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8 ~ ~ O C K O ~ 3HaqeHMR ~ K Y U1, U2yMe M3BeCTHb1, TO YCnOBMe (7) npea- ctasnret co6oi HeKoTopoe orpahmehme Ha napametpb1 a a ~ a ~ M c. Knacc~ qacthblx pewe~~i ypashehm (), nonyqehhble B npo~a- B o J ~ ~ H o ~ ~ P T O T O H ~ ~ CMCTeMe ~ H O ~ ~ KOOPAMHaT B Cnyqae BbPOMAeHMF (6) B OAHO YpaBHeHMe TO MMeeT MeCTO An5 MBOTPO~~HO~~ cpe~bl), 6blnM noap06~0 PaCCMOTpeHbl B"'. pewe~mfi B qnn~~~pmrec~ofi n flonyw~ Tame Knaccbl TO~H~X c@epmqec~ofi CMCTeMaX+KOOpAMHaT. flyc~b KOMnOHeHTb A 3aBMCRT TOnbKO OT paamanb~0fi KOOpAMHa- Tbl f. B 3TOM Cnyqae B ~ M ~ M H A P M ~ ~ CMCTeMe C K O ~ ~ KOOPAMHaT YpaB- Hewe AnR r -KoMnoHeHTa nepexoarlrt B ycnome Dr = 0, M3 KOTO- A+M AZ. YP~B- por0 MOMHO Bblpa3MTb KOMnOHeHT Ar HeHMe AnR A, npmhmmaet BklA ', d C ~, 1 daz Dz(A+, A,, Ar(A+, A,.)) = 0. dr r dr

9 KOM~OH~HT A+ BblpamaeTcR vepes A, M ero npovl3~o~tible YpaBHeHMR c no~oqb~) a1 =-3f sin $(\arz l ~ g - c r z ), a 2 = 3f sin 4((ar,A4-c,, ), a, =-2f sin a, 1 ( a 14-6 l3-2f sin $la,, larcac- 2 'rr Ad = A4= 0, A, = - ' rr.err = =cr4, larr =la@ t=iar41. MOMHO lonywtb TaKMe KnaCCbl TOvHMX petuehmi YPaBHeHMR (), YAOBneTBOpRlaqMX (2), (5), E ~ M ~ M H A ~ M ~ M4c@epMvec~0i ~ ~ c K o ~ CM- CTeMaX KOOPAMHaT, ecnh KOMnOHeHTM BeKTOPOB Al 3aBMCRT OT ABYX nepemehhblx: r M z B nepsom cnyvae M r M 0 - BO BTOPOM.~~PM TOM lona TdeM, C(T0 BblflOnHeHbt YCnOBMR - + lar$a4(\~rz la$-frz )2+ (~$arr -6rr )arr 1 f2sin24e (A++ 6f sin $\ardl*+(/ar, A4- a5 = 4f sin 41ar4JlarZ - f r ~ ) - lar$ A4(lar, Ag-fr,) - 2 (larz A; - lak41 =idem, lakz 1 =idem, lake ( = idem, rae k = r, 4, z MnM k = r, 8, 4. B ~TMX cnyvanx A,, A, MnM A,, A,g onpeaenrmcr ~3 ypae~e~ui (10)-(11) MnM (lo), (12) AnR loctoslhhmx bj loflycladtcr H3 TOnbKO VTO npmbeaeh- nytem 3a~e1-1 B HMX: sin 4 2 cos 4, r 2 z BToporo AnR loctorhhblx a j, bj B ~ P M ~ ~ CCMCTeMe K O ~ KOOPAMHaT n0nyclah)tcr M3 COOTBeTCTBYwMX CbopMyfl AflR aj, bj B ~ L ~ L H ~ ~ L ~ CMCTeMe ~ C K O ~ KOOPAMHaT flytem 3aMeHbl MHAeKCa z Ha MHAeKC 6. KOM~OH~HT~ Ai4 BblpaMaOTCR Clepe3 r, z HnH 0, XapaKTepMCTM- TaK Me, KaK M B nepbom pa3aene. C O O T B ~ T C T B ~ ~ M ~ 15

10 (13) 1. Kelley P.L. - Phys. Rev. Lett., 1965, v.15, p T ~ ~ ~ HB.M. O B - nvlcb~a B KT@, 1965, ~.2, sblrf.5, c A6noseq M., CMryp X. CO~MTOH~ M MeTOA 06paTHOfi 3 a ~ a M.: ~. MM~, Arpa~os~q B.M., ~ ~ B M ~ ~ B.C., H K O ~ ~ P H RB.A. K - n~cb~a B M3T@, 1980, ~.32, sbln.8, c Jomlinson W.J. - Optics Lett., 1980, v.5, p Fedyanin V.K., Mihalache D. - Z. Phys. B y v.47, p Muxana~e B.K. npenpbl~~ 0blAM P Ay6~a, MMxanaKe B.K. - TM@, 1983, ~.54, C Ysapoea 1.A. npenpn~~ 0MgM P Ay6~a, 1987.

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