finding different diffraction parameters

Author: Skywalkr-dev

physics/diffraction.py

@@ -0,0 +1,93 @@
+
+import math
+
+
+
+def check_min_intensity(slit_width = 1,diff_angle=0, wavelength=100):
+    """
+    Checks for the condition of minimum intensity in a diffraction pattern.
+    
+    Args:
+        slit_width (float): The width of the slit in millimeters.
+        diff_angle (float): The diffraction angle in radians.
+        wavelength (float): The wavelength of light in nanometers.
+        
+    Returns:
+        bool: True if minimum intensity is met, otherwise False.
+
+    >>> check_min_intensity(4, 0.25, 300)
+    False
+    >>> check_min_intensity(1, 0.0001, 100)
+    True
+    """
+    wavelength *= 10**-6
+    n_val = round(slit_width*(diff_angle)/wavelength,5)
+    r_val = True if (n_val-math.floor(n_val)==0) else False
+    return r_val
+
+def check_max_intensity(slit_width=1,diff_angle=0,wavelength=100):
+    """
+    Checks for the condition of maximum intensity in a diffraction pattern.
+    
+    Args:
+        slit_width (float): The width of the slit in millimeters.
+        diff_angle (float): The diffraction angle in radians.
+        wavelength (float): The wavelength of light in nanometers.
+        
+    Returns:
+        bool: True if maximum intensity is met, otherwise False.
+
+    >>> check_max_intensity(1, 0.001, 100)
+    False
+    >>> check_max_intensity(1, 0.00005, 100)
+    True
+    """
+    wavelength *=10**-6
+    n_val = round(((2*slit_width*diff_angle)-wavelength)/(2*wavelength),4)
+    r_val = True if (n_val-math.floor(n_val)==0) else False
+    return r_val
+
+def intensity_single_slit(slit_width=1,diff_angle=0,wavelength=100):
+    """
+    Computes the intensity for a single slit diffraction pattern.
+    
+    Args:
+        slit_width (float): The width of the slit in millimeters.
+        diff_angle (float): The diffraction angle in radians.
+        wavelength (float): The wavelength of light in nanometers.
+        
+    Returns:
+        str: The intensity of the diffraction pattern.
+
+    >>> intensity_single_slit(1, 0.0005, 100)
+    '0.9999999999177533 I0'
+    """
+    beta = math.pi*slit_width*(math.sin(diff_angle)/wavelength)
+    i_coeff = (math.sin(beta)/beta)**2
+    return "{coeff} I0".format(coeff=i_coeff)
+
+def intensity_double_slit(path_diff=0,intensity_max="I0"):
+    """
+    Computes the intensity for a double slit diffraction pattern.
+    
+    Args:
+        path_diff (float): The path difference in the two waves.
+        intensity_max (str or int): The maximum intensity.
+
+    Returns:
+        str or float: The intensity of the diffraction pattern.
+
+    >>> intensity_double_slit(0, 1)
+    4.0
+    >>> intensity_double_slit(0.001, 1)
+    3.999999000000084
+    >>> intensity_double_slit(0)
+    '4.0 I0'
+    """
+    r_val = 4*intensity_max*(math.cos(path_diff/2))**2 if (type(intensity_max)==type(0)) else "{coeff} I0".format(coeff=(4*(math.cos(path_diff/2)**2)))
+    return r_val
+
+if(__name__=="__main__"):
+    import doctest
+    doctest.testmod()
+    #pass