Vortex beam source synthesis method based on time domain finite difference method
A time-domain finite-difference and synthesis method technology, applied in measurement devices, instruments, measuring electrical variables, etc., can solve the problems of low accuracy of calculation results, low calculation efficiency, long calculation time, etc., and achieve the effect of solving low calculation efficiency.
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specific Embodiment approach 1
[0050] Specific implementation mode 1: The specific process of the vortex beam source synthesis method based on the finite difference time domain method in this implementation mode is as follows:
[0051] Step 1, obtaining the simple harmonic plane wave in the frequency domain;
[0052] Step 2, according to the simple harmonic plane wave in the frequency domain, obtain the Gaussian pulse in the time domain;
[0053] Step 3, the present invention at first utilizes this pulse to study the scattering of the dielectric sphere to the plane wave, and compares it with the analytical solution of the dielectric sphere scattering to verify the correctness of the algorithm (simulation verification);
[0054] Based on the time-domain Gaussian pulse function, the pulse required by the vortex electromagnetic field in the time domain is obtained.
specific Embodiment approach 2
[0055] Specific embodiment two: the difference between this embodiment and specific embodiment one is that the simple harmonic plane wave in the frequency domain is obtained in the step one; the specific process is:
[0056] The expression of the simple harmonic plane wave in the frequency domain is:
[0057]
[0058] In the formula, is the exponential term of the simple harmonic plane wave; E m1 is the simple harmonic plane wave amplitude value in the frequency domain; ω is the angular frequency; t is the time; is the wave vector of a simple harmonic plane wave in the frequency domain; is the vector radius of any point in space; exp is the base number of natural logarithm; j is the imaginary unit, j 2 =-1.
[0059] Other steps and parameters are the same as those in Embodiment 1.
specific Embodiment approach 3
[0060] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is that in the step two, according to the simple harmonic plane wave in the frequency domain, the Gaussian pulse in the time domain is obtained; the specific process is:
[0061] For the time-domain simulation, the simple harmonic plane wave form in the frequency domain can be directly replaced by a broadband time-domain incident pulse, and the time domain and frequency domain are connected through Fourier transform; since the Gaussian pulse has a rich frequency domain information, so the Gaussian pulse is used as the incident pulse to generate the frequency-domain plane wave, and the replaced form is:
[0062]
[0063] In the formula, E(t) is the Gaussian impulse function in time domain, and t 0 is the abscissa corresponding to the maximum value of the Gaussian pulse, the dimension is time, and the unit is second; ω is the angular frequency; E m2 is the amplitude va...
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