A phase screen simulation method for light propagating in short distance in underwater turbulent flow
A phase screen, close-range technology, applied in design optimization/simulation, instrumentation, calculation, etc., can solve the problem that the phase screen model cannot truly simulate the turbulence characteristics, and the multi-layer phase screen does not consider the phase screen correlation.
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specific Embodiment approach 1
[0028] Specific Embodiment 1: The phase screen simulation method of light propagating in close distance in underwater turbulent flow in this embodiment, as shown in figure 1 shown, including the following steps:
[0029] Step 1) Input the initial image, and the initial image is used to generate phase screens with mutual correlation; the pixel value of the pixel in the initial image is used to represent the phase value; the pixel value and the relative difference of each pixel in the initial image are obtained by Labeled as known values; a specific number and position of pixel points in the original image and phase screen are chosen as fiducials, and each row and column has the same number of fiducials.
[0030] The initial image is Figure 3(a), each square is a pixel point, and the initial image also belongs to the phase screen, and each three points in the figure are marked as reference points, and there are 9× in Figure 3(a) 9 = 81 fiducials. The pixel values and relativ...
specific Embodiment approach 2
[0056] Embodiment 2: The difference between this embodiment and Embodiment 1 is that the three-dimensional covariance matrix prediction model is used to calculate the phase fluctuation between any two points in space, and its calculation formula is:
[0057]
[0058] The phase covariance function describes the phase fluctuation of any two points in space, and it represents the relative fluctuation, which has nothing to do with the real phase value.
[0059] r1, r2 represent any two spatial position vectors; D φ is the phase structure function; T is the weight function, whose value is 1 in the discrete area and 0 outside the area; C is the phase covariance function.
[0060] Other steps and parameters are the same as those in Embodiment 1.
specific Embodiment approach 3
[0061] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is:
[0062] In step 2), the calculation formula for the pixel value of the jth reference point in the i-th phase screen to be generated is:
[0063]
[0064] x i ,y j ,z k are the components of any point in the space in the x direction, y direction and z direction; where A is the prediction matrix, φ m is the known phase column matrix, σ is the interpolation standard deviation, and R is a Gaussian random variable with a variance of 1 and a mean of 0. The form of the prediction matrix A is:
[0065]
[0066] The interpolated standard deviation is of the form:
[0067]
[0068] The specific derivation process is:
[0069] For a random screen group of k-layer i×j size, the random screen can be expressed as k matrixes of i×j size, for example, the k-th layer random screen can be expressed as:
[0070]
[0071] Perform column vectorization processing on th...
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