NawfalMotii79
60 lines
2.2 KiB
Python
60 lines
2.2 KiB
Python
import numpy as np
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def calculate_patch_antenna_parameters(frequency, epsilon_r, h_sub, h_cu, array):
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# Constants
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c = 3e8 # Speed of light in m/s
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# Convert height from mm to meters
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h_sub_m = h_sub * 1e-3
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h_cu_m = h_cu * 1e-3
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# Calculate Lambda
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lamb = c /(frequency * 1e9)
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# Calculate the effective dielectric constant
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epsilon_eff = (epsilon_r + 1) / 2 + (epsilon_r - 1) / 2 * (1 + 12 * h_sub_m / (array[1] * h_cu_m)) ** (-0.5)
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# Calculate the width of the patch
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W = c / (2 * frequency * 1e9) * np.sqrt(2 / (epsilon_r + 1))
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# Calculate the effective length
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delta_L = 0.412 * h_sub_m * (epsilon_eff + 0.3) * (W / h_sub_m + 0.264) / ((epsilon_eff - 0.258) * (W / h_sub_m + 0.8))
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# Calculate the length of the patch
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L = c / (2 * frequency * 1e9 * np.sqrt(epsilon_eff)) - 2 * delta_L
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# Calculate the separation distance in the horizontal axis (dx)
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dx = lamb/2 # Typically 1.5 times the width of the patch
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# Calculate the separation distance in the vertical axis (dy)
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dy = lamb/2 # Typically 1.5 times the length of the patch
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# Calculate the feeding line width (W_feed)
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Z0 = 50 # Characteristic impedance of the feeding line (typically 50 ohms)
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A = Z0 / 60 * np.sqrt((epsilon_r + 1) / 2) + (epsilon_r - 1) / (epsilon_r + 1) * (0.23 + 0.11 / epsilon_r)
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W_feed = 8 * h_sub_m / np.exp(A) - 2 * h_cu_m
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# Convert results back to mm
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W_mm = W * 1e3
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L_mm = L * 1e3
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dx_mm = dx * 1e3
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dy_mm = dy * 1e3
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W_feed_mm = W_feed * 1e3
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return W_mm, L_mm, dx_mm, dy_mm, W_feed_mm
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# Example usage
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frequency = 10.5 # Frequency in GHz
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epsilon_r = 3.48 # Relative permittivity of the substrate
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h_sub = 0.102 # Height of substrate in mm
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h_cu = 0.07 # Height of copper in mm
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array = [2, 2] # 2x2 array
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W_mm, L_mm, dx_mm, dy_mm, W_feed_mm = calculate_patch_antenna_parameters(frequency, epsilon_r, h_sub, h_cu, array)
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print(f"Width of the patch: {W_mm:.4f} mm")
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print(f"Length of the patch: {L_mm:.4f} mm")
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print(f"Separation distance in horizontal axis: {dx_mm:.4f} mm")
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print(f"Separation distance in vertical axis: {dy_mm:.4f} mm")
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print(f"Feeding line width: {W_feed_mm:.2f} mm")
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