By C.G. Someda and G.I. Stegeman (Eds.)
Dielectric optical waveguides were investigated for greater than twenty years. within the final ten years they've got had the original place of being concurrently the spine of a really functional and completely built know-how, in addition to an exceptionally intriguing zone of simple, vanguard study. current waveguides should be divided into units: one which include waveguides that are already in sensible use, and the moment of these that are nonetheless on the laboratory level in their evolution. This ebook is split into separate components: the 1st facing anisotropic waveguides, an. Read more...
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Additional resources for Anisotropic and Nonlinear Optical Waveguides
16), Chromatic one makes z-»0 . length. F o r a fiber (an assumption z->0 , z-independent case consider pieces of infinitesimal dispersion with in the limiting it follows dispersion suitable that model Δ ω χ and Δ ω β both can b e accounted for the for, frequency dependence of the previously listed fiber parameters. for As a fiber affected birefringence, most Section, w e will where by of the results study Ν random will cascaded Monte-Carlo simulation. Here, w e will case cascaded of 2 fibers, a mode be fibers restrict problem coupling found that and in the next by means ourselves can be of a to the tackled analytically.
1) where X and X 1 are generated by uncorrelated a pseudorandom their probability rest two variables, which can be 2 of the density model. routine. function For Any assumption (PDF) simplicity, in concerning is compatible with the following assume a flat distribution between 0 and 1; however, we the will it has been tested that the results of simulations do not change if we assume a Gaussian one. V measures the degree of correlation which exists between adjacent fibers. When V=l, the fibers are totally uncorrelated; when V=0, they are correlated.
Fo r propagatio n in th e - z direction , th e integratio n i s performe d fro m æ = d t o æ = 0 . Th e initia l condition s are no w circula r polarization s at æ = d. On e get s E += Á ß ( æ ) Å! 3 ) E = A y i z ) ! 4 ) <- <- wher e E n ar e th e basic circula r mode s fo r - z propagatio n wit h th e fields U n give n in Eq . 5) . Sinc e E + an d E ~ ar e th e response t o lef t an d right circula r inpu t polarizations , respectively , th e Jones matrice s i n circula r representatio n ar e obtaine d as A(d) = ( A f ( z = d ) Ay(z=d ) Ϊ ^ ^ A £ ( z = d ) A 2( z = d ) J an d A(d) = (Af ( z = 0 ) Ay(z=0 ) ^ ^_ ^ .