Degenerate four-photon parametric processes, energy exchange between the components and nonlinear polarization rotation

Dakova, A.; Dakova, D.; Kasapeteva, Zara; Slavchev, V.; Kovachev, L. M.

doi:10.1016/j.ijleo.2021.166996

Cited by 8 publications

(3 citation statements)

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“…Let us assume that 2𝛼𝐴 𝑦 = −(Φ 𝑦 ′ ) 2 and 2𝛼𝐴 𝑥 = −(Φ 𝑥 ′ ) 2 . Therefore, for the generalized phase is obtained the following expression:…”

Section: Basic Equationsmentioning

confidence: 99%

“…For the purpose of describing propagation of the two components of the amplitude function of the electrical filed of narrow-band laser pulses (Δω <<ω 0 ) in optical fibers and planar waveguides, the wellknown System of Nonlinear Schrodinger Equations (SNSE) can be used. It is important to point out that in the frame of SNSE the exchange of energy between the components, due to degenerate four-photon parametric mixing was investigated by authors in [1,2]. The effect was called rotation of the polarization ellipse.…”

Section: Introductionmentioning

confidence: 99%

“…It is known that 𝑤 ′′ + (1 − 2𝑘 2 )𝑤 + 2𝑘 2 𝑤 3 = 0 → 𝑤 = 𝑐𝑛(𝑧, 𝑘). Having in mind (43), we go back to the substitution about t:𝑡 = 𝑐𝑛 (𝑧, 1 , 𝑡(0) = 1, 𝑐𝑛 2 = 1 − 𝑠𝑛 2 (44) 𝑦 = 𝑡 2 + 1 → 𝑦 = 𝑐𝑛 2 + 1 = 1 − 𝑠𝑛 2 → 2 − 𝑠𝑛2 We can determine the final value of the investigated function Δ:…”

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confidence: 99%

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Rotation of the polarization ellipse for broad-band and narrow-band optical pulses. Analytical solutions

Kasapeteva

Dakova

Slavchev

et al. 2023

J. Phys.: Conf. Ser.

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In present days the evolution of broad-band laser pulses, propagating in various types of waveguides, has been of a great interest among the scientists. Currently, it is easy for phase-modulated femtosecond pulses the condition Δω≈ω0 to be obtained. It is known that nowadays it is possible also to reach the attosecond region where the spectral bandwidth of the pulse happens to be of order of the carrier frequency also. Light pulses who fulfil this initial condition are called broad-band. On the other hand, the non-fulfilling pulses are the narrow-band ones. In the present paper it is investigated the parametric interaction of two components of one optical pulse by using the Generalized System of Nonlinear Amplitude Equations (GSNAE). GSNAE was analytically solved. A difference in the period of oscillations of the energy exchange between the two components is found.

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“…Let us assume that 2𝛼𝐴 𝑦 = −(Φ 𝑦 ′ ) 2 and 2𝛼𝐴 𝑥 = −(Φ 𝑥 ′ ) 2 . Therefore, for the generalized phase is obtained the following expression:…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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