NV in Wild

Refath Bari

 NV 

 NV 

B_1(x,t)

#1

 NV 

B_1(x,t)

#1

B_1(x,t)

#1

B_2(x,t)

#2

 NV 

B_1(x,t)

#1

B_1(x,t)

#1

B_2(x,t)

#2

B_3(x,t)

#3

 NV 

B_1(x,t)

#1

B_1(x,t)

#1

B_2(x,t)

#2

B_3(x,t)

#3

B_4(x,t)

#4

def B1(t): 
  w = 4
  A = 4
  phShift = np.rand(0,1)
  return A*math.sin(w*t+phShift)

#1

B_1(x,t)
def B1(t): 
  w = 4
  A = 4
  phShift = 1
  return A*math.sin(w*t+phShift)
def B2(t): 
  w = 4
  A = 4
  phShift = 0
  return A*math.cos(w*t)
def B3(t): 
  w = 4
  A = 6
  phShift = 0
  return A*math.sin(w*t)
def B4(t): 
  w = 4
  A = 8
  phShift = 0
  return A*(math.sin(w*t-0.4))**3

#1

B_1(x,t)

#2

#3

#4

B_2(x,t)
B_3(x,t)
B_4(x,t)
def total_B(t): 
  return B1(t)+B2(t)+B3(t)+B4(t)
f(0)=f(T)
-\int_{0}^{0.3} B(\alpha) d\alpha+\int_{0.3}^{0.6} B(\alpha) d\alpha
-\int_{0}^{0.6} B(\alpha) d\alpha+\int_{0.6}^{1.2} B(\alpha) d\alpha
-\int_{0}^{1} B(\alpha) d\alpha+\int_{1}^{2} B(\alpha) d\alpha
-\int_{0}^{1.6} B(\alpha) d\alpha+\int_{1.5}^{3.2} B(\alpha) d\alpha
-\int_{0}^{\tau} B(\alpha) d\alpha+\int_{\tau}^{2\tau} B(\alpha) d\alpha
def phi_accum(field, a, b): 
    B_int = quad(field, a, b, limit=100000)
    return B_int[0]

def phi_accum_prime(field, t_b):
  return ( -1 * phi_accum(field, 0, t_b) + phi_accum(field, t_b, 2*t_b) ) 

def HE_coherence(field, t_b):
  return math.cos(phi_accum(field, 0, t_b))

for i in x: 
  b1_graph.append(B1(i)) #REPEAT FOR OTHER 3 MAGNETIC FIELDS
  sum_graph.append(total_B(i))
  
  y1.append(phi_accum_prime(B1, i)) # REPEAT FOR OTHER 3
  y1_mod.append(math.cos(phi_accum_prime(B1, i))) # REPEAT FOR OTHER 3
  y1_free_coh.append(free_coherence(B1, i)) # REPEAT FOR OTHER 3

1. What happens when random Phase Shift added to B(t)?

2. Check if HE is done at periods of the Magnetic Field; If it's not, then there should be Phase accumulated

1. What happens when random Phase Shift added to B(t)?

\phi=1
\phi=2

1. What happens when random Phase Shift added to B(t)?

\phi=1
\phi=2
\phi=1
\phi=2
\phi=3
\phi=4
\phi=5
\phi=1
\phi=2
\phi=3
\phi=4
\phi=5
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