Electromagnetic fields calculation on the moving boundary of the medium irradiated by Airy pulse
Abstract
Relevance. The new effects of electromagnetic pulse propagation obtained as a result of its interaction with a moving boundary can be actively used when pulses pass through various devices and equipment, such as lenses, mirrors, etc. The results of such interaction are extremely important in nano-optics and nanophotonics, in biochemistry for sorting microparticles and selecting cells as optical tweezers.
The purpose of the work is research and analysis the features of the Airy pulse transformation as a result of its interaction with the boundary moving towards it.
Materials and methods. The Volterra integral equations of the second kind method is used for research, analysis and simulation modeling of the Airy pulse in non-stationary electromagnetic media. The advantage of using this method is that the solution of Volterra's integral equations are analytical solutions, which are obtained by means of rigorous mathematical calculations. In addition, Volterra integral equations method is universal with respect to the free term of the equation, which allows you to choose any electromagnetic field, including the Airy electromagnetic pulse, as the primary field. The solution of the basic integral equation in the work is carried out by the resolvent method, which allows obtaining an analytical expression for the field pulse that has passed through the boundary. The advantage of using a resolvent to solve an integral equation is that this method allows considering electromagnetic fields with an arbitrary dependence on time.
Results. The moving boundary influence on an asymmetric electromagnetic Airy pulse is investigated. The exact mathematical expressions for the Airy pulse field describing its spatio-temporal structure after interaction with the moving boundary are obtained. The results of the obtained analytical expressions are accompanied by numerical simulation of secondary pulses and their analysis.
Conclusion. The complex case of an electromagnetic pulse propagation, namely its interaction with a non-stationary moving boundary, starting from the zero moment of time, is studied. It was established that as a result of the boundary and the pulse movement, secondary pulses are formed in different regions of space, which change the direction of movement, speed and frequency of modulations. According to the simulation results, it can be seen that after the Airy pulse interaction with the moving boundary, the frequency and amplitude of the secondary field increases, and the scattered field reflected from the boundary has a reduced energy and a difference frequency of oscillations in time.
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References
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