Nonstationary nonlinear phenomena in optical slab-waveguides. I. General theory

Langbein, U.; Lederer, F.; Ponath, H. E.

doi:10.1007/bf00619380

Cited by 12 publications

(6 citation statements)

References 15 publications

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“…It can be easily seen from Eqs. (13) and (14) that P (xo,yo, z, r) is proportional to the average source polarization i Poj ) i =N; pP . The qua.…”

Section: Resonant Soliton Switchingmentioning

confidence: 99%

“…The corresponding density-matrix equations in the interaction picture read [7] Ppj = (l z i 6 )Ppj +i $~Ep~W pj. = f dx f dy Pp (x,y, t)P (x,y) f dx f dye (x,y), (13) where again the spatial average of the density-matrix elements over the coupler cross section is involved. Since our coupled-mode theory is based on the assumption that the transverse structure of the fields in the waveguides is Poi(r, t)=P; (xo,yo, z, t}gj(x,y), Wo"(r, t) -Wojl(r, t) = [ W;(xo,yo, z, t) W' (-xo,yo, z, t )]P;(x,y), (14) j =1,2.…”

Section: Coupled-mode Field Equations With a Resonant Polarizationmentioning

confidence: 99%

“…(12) over the coupler cross section, and there, as well as in Eq. (13), we do the replacement E is the normalized linear coupling constant of the directional coupler. In the absence of the nonlinear resonant polarization, E determines the normalized coupling length 1 =n(2K) ' for which complete power transfer between the waveguides takes place.…”

Section: Coupled-mode Field Equations With a Resonant Polarizationmentioning

confidence: 99%

“…Therefore, we assume a Gaussian function for the coupling coefficient (Ref. [13]) K in Eqs. (15) and (16), namely,…”

Section: Resonant Soliton Switchingmentioning

confidence: 99%

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Coupled-mode analysis of the self-induced-transparency soliton switch

et al. 1992

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The dynamics of a nonlinear resonant tapered coupler is analyzed by using coupled-mode equations. The constituent waveguides are made of a linear host material doped with resonant impurities. Such a system allows a mechanism for all-optical switching. It is shown that nonlinear exchange between coupled waveguides originates from the group-velocity dependence on the propagating pulse power and/or area. The transmitted signal is always a multiple of the self-induced-transparency fundamental soliton.The dynamics of the pulse tuned or detuned from the resonance and with the inclusion of the material relaxation terms is discussed. In the last section the problem of soliton collision in the coupling region is considered; in this case an initial interpulse phase difference may determine a power-dependent outport switching.PACS number(s): 42.50. Rh, 42.65.Pc, 42.79.Gn

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“…It can be easily seen from Eqs. (13) and (14) that P (xo,yo, z, r) is proportional to the average source polarization i Poj ) i =N; pP . The qua.…”

Section: Resonant Soliton Switchingmentioning

confidence: 99%

Section: Coupled-mode Field Equations With a Resonant Polarizationmentioning

confidence: 99%

Section: Coupled-mode Field Equations With a Resonant Polarizationmentioning

confidence: 99%

“…Therefore, we assume a Gaussian function for the coupling coefficient (Ref. [13]) K in Eqs. (15) and (16), namely,…”

Section: Resonant Soliton Switchingmentioning

confidence: 99%

See 2 more Smart Citations

Coupled-mode analysis of the self-induced-transparency soliton switch

et al. 1992

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“…If we now fill the slot with a resonant absorber, this will result in a laterally constant Rabi frequency, strong field enhancement, and confinement to a nanoscopic mode area. An approximate formula for the group index of a 2π pulse in a waveguide was derived in the SVEA and ignoring the group velocity dispersion (GVD) [26]:…”

Section: Optical Solitons In Nanometer-gap Waveguidesmentioning

confidence: 99%

Femtosecond nanometer-sized optical solitons

2011

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We report the existence of guided optical solitons of femtosecond duration and nanoscopic mode area. The proposed scheme exploits the structural confinement of light in a low-index subwavelength gap and the nonlinear interaction with a resonantly absorbing medium to achieve stable and ultraconcentrated coherent pulses. Employing full time-and space-dependent Maxwell-Bloch equations, we find that these extremely nonlinear, propagating impulses are quasisolitons, stabilized against dispersion and absorption by self-induced transparency at a laterally constant Rabi frequency.

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Raman scattering by polaritons in Ti:LiNbO₃ waveguides

Langbein¹,

Lederer²,

Ponath³

et al. 1986

J Raman Spectroscopy

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A general theory of Raman scattering in piezoelectric slab waveguides is presented. If the anisotropy of the uniaxial waveguide material is sufficiently large, incident slab-guided waves can be scattered by polaritons of the upper branch of the polariton dispersion curve. The angular dependence w2(8) of the scattered-wave frequency has been calculated in detail, for both y-and z-cut Ti:LiNbO, waveguides in the polariton frequency range wp = 900-5160 cm-' (pump wavelength 4880 A). The detection of weak proton vibrations within the strong polariton Raman spectrum of proton-exchanged Ti:LiNbO, waveguides is discussed.

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Nonstationary nonlinear phenomena in optical slab-waveguides. I. General theory

Cited by 12 publications

References 15 publications

Coupled-mode analysis of the self-induced-transparency soliton switch

Coupled-mode analysis of the self-induced-transparency soliton switch

Femtosecond nanometer-sized optical solitons

Raman scattering by polaritons in Ti:LiNbO₃ waveguides

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Nonstationary nonlinear phenomena in optical slab-waveguides. I. General theory

Cited by 12 publications

References 15 publications

Coupled-mode analysis of the self-induced-transparency soliton switch

Coupled-mode analysis of the self-induced-transparency soliton switch

Femtosecond nanometer-sized optical solitons

Raman scattering by polaritons in Ti:LiNbO3 waveguides

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Product

Resources

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Raman scattering by polaritons in Ti:LiNbO₃ waveguides