Influence of group velocity detuning of optical harmonics on reflection and transmission of radiation in an active periodic medium

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Abstract

We studied how the detuning between the group velocities of two optical harmonics affects the reflection and passage of radiation through a layered active quadratically nonlinear medium. The reflection and transmission coefficients at the fundamental and doubled frequencies are found using numerical modeling. The soliton nature of energy transfer inside the medium is shown.

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About the authors

А. А. Kalinovich

Lomonosov Moscow State University

Author for correspondence.
Email: kalinovich@gmail.com
Russian Federation, Moscow

I. G. Zakharova

Lomonosov Moscow State University; MSU-BIT University

Email: kalinovich@gmail.com
Russian Federation, Moscow; Shenzhen

T. M. Lysak

Lomonosov Moscow State University; MSU-BIT University

Email: kalinovich@gmail.com
Russian Federation, Moscow; Shenzhen

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2. Fig. 1. Reflection and transmission of waves in a passive medium κ1 = 1, κ2 = 0, g1 = 0, g2 = 0, δ1 = −0.9, δ2 = 5, v2 = 1. Reflection (R1,2) and transmission (T1,2) coefficients of the fundamental frequency and the second harmonic depending on the group velocity of the wave of the fundamental frequency v1 (a). Maximum intensities (solid line) and widths (dashed line) of the fundamental frequency (red) and the second harmonic (blue) in the case of v1 = 1 (b). Beam profiles of the fundamental frequency (red) and the second harmonic (blue) for v1 = 1 (c, d), 2 (e), and 0.5 (e) at different moments of time τ.

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3. Fig. 2. Reflection and transmission of waves in an active medium. Similar to Fig. 1, except g1 = 0.5.

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4. Fig. 3. Reflection and transmission of waves in an active medium. Similar to Fig. 1, except g1 = −0.5.

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