Unidirectional Single-Cycle and Sub-Cycle Pulses

So, Irina A.; Plachenov, A. B.; Kiselev, A. A.

doi:10.1134/s0030400x20121054

Cited by 3 publications

(3 citation statements)

References 5 publications

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“…At the same time, in the last three decades, the study of analytical solutions of Maxwell's equations describing localized electromagnetic waves began, also largely due to the needs of ultrafast optics. They can be found in [4,13,18,[21][22][23][24][25].…”

Section: Methodsmentioning

confidence: 99%

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Space-Time Coupling: Current Concept and Two Examples from Ultrafast Optics Studied Using Exact Solution of EM Equations

Popov

Виноградов

2021

Symmetry

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Current approach to space-time coupling (STC) phenomena is given together with a complementary version of the STC concept that emphasizes the finiteness of the energy of the considered pulses. Manifestations of STC are discussed in the framework of the simplest exact localized solution of Maxwell’s equations, exhibiting a “collapsing shell”. It falls onto the center, continuously deforming, and then, having reached maximum compression, expands back without losing energy. Analytical solutions describing this process enable to fully characterize the field in space-time. It allowed to express energy density in the center of collapse in the terms of total pulse energy, frequency and spectral width in the far zone. The change of the pulse shape while travelling from one point to another is important for coherent control of quantum systems. We considered the excitation of a two-level system located in the center of the collapsing EM (electromagnetic) pulse. The result is again expressed through the parameters of the incident pulse. This study showed that as it propagates, a unipolar pulse can turn into a bipolar one, and in the case of measuring the excitation efficiency, we can judge which of these two pulses we are dealing with. The obtained results have no limitation on the number of cycles in a pulse. Our work confirms the productivity of using exact solutions of EM wave equations for describing the phenomena associated with STC effects. This is facilitated by rapid progress in the search for new types of such solutions.

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Section: Methodsmentioning

confidence: 99%

“…Formulas (A1)-(A6) are valid for arbitrary number N of electromagnetic field periods. For quasi-monochromatic pulses when N = aq 1 Formulas (A1)-(A6) easily yield (25):…”

Section: Appendix a Spectral Analysis Of A Gaussian Pulse (20) Based ...mentioning

confidence: 99%

Space-Time Coupling: Current Concept and Two Examples from Ultrafast Optics Studied Using Exact Solution of EM Equations

Popov

Виноградов

2021

Symmetry

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“…having the character of short low-cycle localized pulses. Here x, y, z are spatial coordinates, t is time, c is wave propagation speed [1][2][3][4][5][6][7][8][9][10][11][12][13]. The interest in such solutions grows out of the need to simulate ultrashort electromagnetic beams arising in modern pulsed lasers [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

2D splash mode

Plachenov

Dyakova

2022

J. Phys.: Conf. Ser.

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A simple solution of the wave equation with two spatial variables having a similarity to the well known splash mode solutions is presented. It depends on two free parameters and describes a localized few-cycle pulse having finite energy. The behavior of the solution is studied both in the vicinity of the focus and at large times and distances. It was found that its real part at all points and at all instants of time is strictly positive. Integral representations for the solutions are derived and an expression for its total energy is found.

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Unidirectional Pulses. A Short Overview

Plachenov

2024

2024 Days on Diffraction (DD)

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Unidirectional Single-Cycle and Sub-Cycle Pulses

Cited by 3 publications

References 5 publications

Space-Time Coupling: Current Concept and Two Examples from Ultrafast Optics Studied Using Exact Solution of EM Equations

Space-Time Coupling: Current Concept and Two Examples from Ultrafast Optics Studied Using Exact Solution of EM Equations

2D splash mode

Unidirectional Pulses. A Short Overview

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