Structural rocking filters in highly birefringent photonic crystal fiber

Kakarantzas, G.; Ortigosa-Blanch, A.; Birks, T. A.; Russell, P. St. J.; Farr, Lee E.; Couny, F.; Mangan, B. J.

doi:10.1364/ol.28.000158

Cited by 78 publications

(55 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(7)- (8) so that Ω = 1 (see also a relevant discussion in Section III.B); in that case the domain of stability would be a triangular-like zone enclosing the line µ 1 = µ 2 . (14). In (b), solid and dashed lines, respectively, show borders of the stable-rotation region for symmetric and asymmetric crosses (in the latter case, N1/N2 = 1.5).…”

Section: A Static Domain-wall Crossesmentioning

confidence: 99%

“…The twist-induced rotation of the DW cross may take place along the propagation distance, so that the entire pattern will seem like a double helix. Twisted PCs per se were studied in a stack model [13], and very recently, the first twisted PCF was fabricated [14] (it was used as a polarization filter). Note that, combining a modulation of the air holes density along the radius of the PCF core and a properly structured cladding, the distribution of the effective refractive index across the PCF can be made similar to the parabolic trapping potential in the BEC model (see below).…”

Section: Introductionmentioning

confidence: 99%

“…The diameter of the twist-tolerant PCFs, ≃ 100 µm, and their length, a few centimeters (which is tantamount to tens of rotation periods) [14], make these experiments and applications quite feasible. Moreover, the use of the co-propagation of several different wavelengths in the PC fiber can make stable multi-handed cross and propeller possible.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

et al. 2004

View full text Add to dashboard Cite

For a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, we introduce cross patterns, which are generated by intersection of two domain walls (DWs) separating immiscible species, with opposite signs of the wave functions in each pair of sectors filled by the same species. The cross pattern remains stable up to the zero value of the immiscibility parameter |∆|, while simpler rectilinear (quasi-1D) DWs exist only for values of |∆| essentially exceeding those in BEC mixtures (two spin states of the same isotope) currently available to the experiment. Both symmetric and asymmetric cross configurations are investigated, with equal or different numbers N1,2 of atoms in the two species. In rotating traps, "propellers" (stable revolving crosses) are found too. A full stability region for of the crosses and propellers in the system's parameter space is identified, unstable crosses evolving into arrays of vortex-antivortex pairs. Stable rotating rectilinear DWs are found too, at larger vlues of |∆|. All the patterns produced by the intersection of three or more DWs are unstable, rearranging themselves into ones with two DWs. Optical "propellers" are also predicted in a twisted nonlinear photonic-crystal fiber carrying two different wavelengths or circular polarizations, which can be used for applications to switching and routing.

show abstract

Section: A Static Domain-wall Crossesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

et al. 2004

View full text Add to dashboard Cite

show abstract

“…On the other hand, the rotation of self-attractive condensates gives rise to several varieties of stable localized modes, such as vortices, "crescents" (mixed-vorticity states), and the so-called center-of-mass modes (quasi-solitons) [20]. Further development of this topic was achieved by the consideration of rotating lattice potentials, which can be implemented experimentally as an optical lattice induced in BEC by a broad laser beam transmitted through a revolving sieve [21], or using twisted photonic-crystal fibers in optics [22]. In these systems, quantum BEC states and vortex lattices have been studied [23], as well as solitons and solitary vortices depinning from the lattice when its rotation velocity exceeds a critical value [24].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear modes and symmetry breaking in rotating double-well potentials

Li¹,

Pang²,

Malomed³

2012

Phys. Rev. A

View full text Add to dashboard Cite

We study modes trapped in a rotating ring carrying the self-focusing (SF) or defocusing (SDF) cubic nonlinearity and double-well potential cos 2 θ, where θ is the angular coordinate. The model, based on the nonlinear Schrödinger (NLS) equation in the rotating reference frame, describes the light propagation in a twisted pipe waveguide, as well as in other optical settings, and also a BoseEinstein condensate (BEC) trapped in a torus and dragged by the rotating potential. In the SF and SDF regimes, five and four trapped modes of different symmetries are found, respectively. The shapes and stability of the modes, and transitions between them are studied in the first rotational Brillouin zone. In the SF regime, two symmetry-breaking transitions are found, of subcritical and supercritical types. In the SDF regime, an antisymmetry-breaking transition occurs. Ground-states are identified in both the SF and SDF systems.

show abstract

“…It is well known that rotating systems often provide more interesting dynamics than their stationary counterparts [19][20][21][22][23][24][25][26]. A natural problem is, whether we can control the type of SBB by means of the rotating speed of the potential or not?…”

mentioning

confidence: 99%

Switch between the Types of the Symmetry Breaking Bifurcation in Optically Induced Photorefractive Rotational Double-Well Potential

Chen

Luo

et al. 2013

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

We study the possibility of switching the types of symmetry breaking bifurcation (SBB) in the cylinder shell waveguide with helical double-well potential along propagation direction. This model is described by the one-dimensional nonlinear Schrödinger (NLS) equation. The symmetry-and antisymmetry-breakings can be caused by increasing the applied voltage onto the waveguide in the self-focusing and -defocusing cases, respectively. In the self-focusing case, the type of SBB can be switched from supercritical to subcritical. While in the self-defocusing case, the type of SBB can not be switched because only one type of SBB is found. PACS numbers: 42.65.Tg; 47.20.Ky; 05.45.Yv; 42.65.Hw Phase transition is a fundamental topic in many branches of physics. Spontaneous symmetric breaking (SSB), which is the transition from the symmetric ground state (GS) to that which does not follow the symmetry of the potential, always plays an important role in inducing the transition [1]. In nonlinear systems, because additional nonlinearity always give rise to the effect of SSB, phase transition and SSB are also important issues and attract great attention. Among many kinds of nonlinear systems, double-well potential (DWP) or dual-core system is the most essential model employed to study the phase transition and SSB of the nonlinear states [2][3][4][5][6][7][8][9]. In DWP system, the important process relating to the phase transition and SSB is symmetric breaking bifurcation (SBB), which determines the process of symmetric states transiting to the asymmetric ones [10][11][12][13][14][15][16][17]. There are two kinds of SBB, subcritical and super critical, which are tantamount to the phase transition of the first and second kind respectively. The former kind of SBB, subcritical type, features branches of the asymmetric states going at first backward after the bifurcation point then turning forward. While the latter one, the supercritical type, features the asymmetric branches going immediately to the forward direction after the bifurcation point. Different settings with different environments may possibly lead to different types of SBB. An interesting problem is the possibility to control the type of the SBB, and thus to switch between the respective phase transitions of the two kinds. About this problem, it has been reported that the addition of a periodic potential (optical lattice) acting in the unconfined direction changes the character of the SBB from sub-to supercritical [7]. Recently, it is also reported that the periodical modulation of the linearcoupling constant, which is induced by the electromagnetically induced transparency (EIT) via the double-Λ system, can change the SBB from sub-to supercritical with the increase of the total power of the probe beams [17].Very recently, a setting with rotational (alias helical) DWP potential in a cylinder shell waveguide was performed [18], which reported that the rotating speed of the potential could also induce the symmetry breaking of the nonlinear modes. It is well known that r...

show abstract

Structural rocking filters in highly birefringent photonic crystal fiber

Cited by 78 publications

References 9 publications

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

Nonlinear modes and symmetry breaking in rotating double-well potentials

Switch between the Types of the Symmetry Breaking Bifurcation in Optically Induced Photorefractive Rotational Double-Well Potential

Contact Info

Product

Resources

About