Method for simulating coherent combination energy distribution of fiber laser in free space
A free-space, coherent synthesis technology, applied in optics, optical components, instruments, etc., can solve the problems of time-consuming, labor-intensive, uncontrollable time, and increase the experimental cost, so as to reduce the adjustment range, reduce the experimental cost, and reduce the manpower and material resources. Effect
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Embodiment 1
[0057] This embodiment discloses a method for simulating the energy distribution of fiber laser free-space coherent synthesis, such as figure 1 shown, including the following steps:
[0058] Step 1: Establish a mathematical model of far-field interference of fiber laser in free space.
[0059] The amplitude formula for a Gaussian beam is:
[0060]
[0061] In formula (11), r is the radius from each point of the Gaussian beam to the center, z is the propagation distance of the Gaussian beam, A 0 is the amplitude, w 0 is the beam waist radius of the Gaussian beam, w (z) is the beam width of the Gaussian beam, i 2 =-1, is the phase part of the Gaussian beam.
[0062] w (z) Determined by formula (12):
[0063]
[0064] λ is the wavelength of the Gaussian beam. When the distance z=0, there is w (z) =w 0 .
[0065] In the Cartesian coordinate system, there is r 2 =x 2 +y 2 , the near-field amplitude formula of a single Gaussian beam is:
[0066]
[0067] In...
Embodiment 2
[0083] A method for simulating the energy distribution of fiber laser free-space coherent synthesis disclosed in this embodiment includes the following steps:
[0084] Step 1: Same as Step 1 in Example 1.
[0085] Step 2: Establish a mathematical model of square optical fiber array arrangement. Such as image 3 shown;
[0086] Square array arrangement: The width of the array elements arranged in a square array is an odd number. The beam waist radius of a single laser is w 0 , the array element spacing is d. H is the total number of rows of the square array, and C is the total number of columns. Let [H / 2]+1 row [C / 2]+1 column laser beam be the origin of the square array, then the coordinates of the array elements in the square array (x h ,y c )for:
[0087]
[0088] In formula (17), h and c are the rows and columns in the square matrix.
[0089] Step 3: Establish a far-field interference simulation model under a square array arrangement. According to the formula (1...
Embodiment 3
[0096] A method for simulating the energy distribution of fiber laser free-space coherent synthesis disclosed in this embodiment includes the following steps:
[0097] Step 1: Same as Step 1 in Example 1.
[0098] Step 2: Establish a mathematical model of hexagonal fiber array arrangement. Such as Figure 4 shown;
[0099] Hexagonal array arrangement: The center of the array element is an array element, and each layer is arranged in a hexagonal array. The beam waist radius of the array element is w 0 , the array element spacing is d. The hexagonal array uses the principle of rotation: let U be the largest layer of hexagonal expansion, and U≥1. u is the layer of the hexagonal array, u ∈ (1, U); on the uth layer, v points are used as a group to rotate, v ∈ (1, u). Then the coordinates of the uth layer and the vth array element (x uv ,y uv )for:
[0100]
[0101] The rotation transformation formula in the Cartesian coordinate system is:
[0102]
[0103] In formul...
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