質問編集履歴
2
誤字の修正
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pa=math.pi/2
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pa=math.pi/2
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sin_pa=math.sin(pa)
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lf1=10
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lf1=10
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lf2=100
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B1=10*1e-6*1e-4
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B1=10*1e-6*1e-4
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B2=100*1e-6*1e-4
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```
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ここから、x→ s/a1,s/a2 ~ みたいに変化させたいけど書き方の見当がつかない
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```python
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from scipy.special import kv
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import matplotlib.pyplot as plt
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from scipy.integrate import quad
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import numpy as np
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import math
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from math import gamma
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m_e=9.10938356*1e-31
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c=2.99792458*1e+8
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98
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q=1.6021766208*1e-19
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pa=math.pi/2#ピッチ角#
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sin_pa=math.sin(pa)
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from sympy import *
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lf1=10#ローレンツ因子#
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lf2=100
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lf3=1000
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B1=10*1e-6*1e-4#磁場#
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B2=100*1e-6*1e-4
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omega_c1=3*lf1**2*q*B1*sin_pa/(2*m_e*c)
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omega_c2=3*lf2**2*q*B1*sin_pa/(2*m_e*c)
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omega_c3=3*lf3**2*q*B1*sin_pa/(2*m_e*c)
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omega_c4=3*lf1**2*q*B2*sin_pa/(2*m_e*c)
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omega_c5=3*lf2**2*q*B2*sin_pa/(2*m_e*c)
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omega_c6=3*lf3**2*q*B2*sin_pa/(2*m_e*c)
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###################################################1#
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###x→ω x=x*ω_c#
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xs1 = np.linspace(1e-4*omega_c1, 1e2*omega_c1, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c1,np.inf)[0]*(x/omega_c1) for x in xs1]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c1)/2)**(1/3) for x in xs1]
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H = [((math.pi/2)**(1/2))*((x/omega_c1)**(1/2))*(math.exp(-(x/omega_c1)))for x in xs1]
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def A(x,F,G,H):
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if (x/omega_c1) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c1) < 30:
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g =F
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elif 30 <= (x/omega_c1):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs1,F,G,H)
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P1=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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193
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###################################################2#
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194
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195
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xs2 = np.linspace(1e-4*omega_c2, 1e2*omega_c2, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c2,np.inf)[0]*(x/omega_c2) for x in xs2]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c2)/2)**(1/3) for x in xs2]
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H = [((math.pi/2)**(1/2))*((x/omega_c2)**(1/2))*(math.exp(-(x/omega_c2)))for x in xs2]
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def A(x,F,G,H):
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if (x/omega_c2) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c2) < 30:
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g =F
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elif 30 <= (x/omega_c2):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs2,F,G,H)
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P2=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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245
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###################################################3#
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xs3 = np.linspace(1e-4*omega_c3, 1e2*omega_c3, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c3,np.inf)[0]*(x/omega_c3) for x in xs3]
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257
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c3)/2)**(1/3) for x in xs3]
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H = [((math.pi/2)**(1/2))*((x/omega_c3)**(1/2))*(math.exp(-(x/omega_c3)))for x in xs3]
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def A(x,F,G,H):
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if (x/omega_c3) <= 5.0*1e-3:
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275
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g =G
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elif 5.0*1e-3 < (x/omega_c3) < 30:
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+
g =F
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281
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elif 30 <= (x/omega_c3):
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283
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+
g =H
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285
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return g
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287
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288
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289
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vec_A = np.vectorize(A)
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291
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y = vec_A(xs3,F,G,H)
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292
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293
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+
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294
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+
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295
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P3=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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296
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+
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297
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+
###################################################4#
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298
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+
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299
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xs4 = np.linspace(1e-4*omega_c4, 1e2*omega_c4, 10000)
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303
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304
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305
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f = lambda z: kv(5/3,z)
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306
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307
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F = [quad(f,x/omega_c4,np.inf)[0]*(x/omega_c4) for x in xs4]
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308
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309
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310
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+
|
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311
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a = gamma(1/3)
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312
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313
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+
G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c4)/2)**(1/3) for x in xs4]
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314
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+
|
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315
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+
H = [((math.pi/2)**(1/2))*((x/omega_c4)**(1/2))*(math.exp(-(x/omega_c4)))for x in xs4]
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323
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def A(x,F,G,H):
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325
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+
if (x/omega_c4) <= 5.0*1e-3:
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326
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327
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g =G
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328
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329
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elif 5.0*1e-3 < (x/omega_c4) < 30:
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330
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331
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+
g =F
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332
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333
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+
elif 30 <= (x/omega_c4):
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334
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335
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+
g =H
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336
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|
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337
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+
return g
|
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338
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339
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340
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|
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341
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+
vec_A = np.vectorize(A)
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342
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343
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+
y = vec_A(xs4,F,G,H)
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344
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345
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346
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|
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347
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+
P4=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
|
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348
|
+
|
|
349
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+
###################################################5#
|
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350
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+
|
|
351
|
+
xs5 = np.linspace(1e-4*omega_c5, 1e2*omega_c5, 10000)
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352
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353
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354
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355
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356
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+
|
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357
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+
f = lambda z: kv(5/3,z)
|
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358
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+
|
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359
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+
F = [quad(f,x/omega_c5,np.inf)[0]*(x/omega_c5) for x in xs5]
|
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360
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+
|
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361
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+
|
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362
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+
|
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363
|
+
a = gamma(1/3)
|
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364
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+
|
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365
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+
G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c5)/2)**(1/3) for x in xs5]
|
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366
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+
|
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367
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+
H = [((math.pi/2)**(1/2))*((x/omega_c5)**(1/2))*(math.exp(-(x/omega_c5)))for x in xs5]
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368
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369
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370
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371
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372
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373
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374
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|
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375
|
+
def A(x,F,G,H):
|
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376
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+
|
|
377
|
+
if (x/omega_c5) <= 5.0*1e-3:
|
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378
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+
|
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379
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+
g =G
|
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380
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+
|
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381
|
+
elif 5.0*1e-3 < (x/omega_c5) < 30:
|
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382
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+
|
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383
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+
g =F
|
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384
|
+
|
|
385
|
+
elif 30 <= (x/omega_c5):
|
|
386
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+
|
|
387
|
+
g =H
|
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388
|
+
|
|
389
|
+
return g
|
|
390
|
+
|
|
391
|
+
|
|
392
|
+
|
|
393
|
+
vec_A = np.vectorize(A)
|
|
394
|
+
|
|
395
|
+
y = vec_A(xs5,F,G,H)
|
|
396
|
+
|
|
397
|
+
|
|
398
|
+
|
|
399
|
+
P5=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
|
|
400
|
+
|
|
401
|
+
###################################################6#
|
|
402
|
+
|
|
403
|
+
xs6= np.linspace(1e-4*omega_c6, 1e2*omega_c6, 10000)
|
|
404
|
+
|
|
405
|
+
|
|
406
|
+
|
|
407
|
+
|
|
408
|
+
|
|
409
|
+
f = lambda z: kv(5/3,z)
|
|
410
|
+
|
|
411
|
+
F = [quad(f,x/omega_c6,np.inf)[0]*(x/omega_c6) for x in xs6]
|
|
412
|
+
|
|
413
|
+
|
|
414
|
+
|
|
415
|
+
a = gamma(1/3)
|
|
416
|
+
|
|
417
|
+
G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c6)/2)**(1/3) for x in xs6]
|
|
418
|
+
|
|
419
|
+
H = [((math.pi/2)**(1/2))*((x/omega_c6)**(1/2))*(math.exp(-(x/omega_c6)))for x in xs6]
|
|
420
|
+
|
|
421
|
+
|
|
422
|
+
|
|
423
|
+
|
|
424
|
+
|
|
425
|
+
|
|
426
|
+
|
|
427
|
+
def A(x,F,G,H):
|
|
428
|
+
|
|
429
|
+
if (x/omega_c6) <= 5.0*1e-3:
|
|
430
|
+
|
|
431
|
+
g =G
|
|
432
|
+
|
|
433
|
+
elif 5.0*1e-3 < (x/omega_c6) < 30:
|
|
434
|
+
|
|
435
|
+
g =F
|
|
436
|
+
|
|
437
|
+
elif 30 <= (x/omega_c6):
|
|
438
|
+
|
|
439
|
+
g =H
|
|
440
|
+
|
|
441
|
+
return g
|
|
442
|
+
|
|
443
|
+
|
|
444
|
+
|
|
445
|
+
vec_A = np.vectorize(A)
|
|
446
|
+
|
|
447
|
+
y = vec_A(xs6,F,G,H)
|
|
448
|
+
|
|
449
|
+
|
|
450
|
+
|
|
451
|
+
P6=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
|
|
452
|
+
|
|
453
|
+
|
|
454
|
+
|
|
455
|
+
#####################################################
|
|
456
|
+
|
|
457
|
+
|
|
458
|
+
|
|
459
|
+
fig = plt.figure()
|
|
460
|
+
|
|
461
|
+
ax = fig.add_subplot(1,1,1)
|
|
462
|
+
|
|
463
|
+
ax.grid()
|
|
464
|
+
|
|
465
|
+
ax.set_xlim(1e-4*omega_c1, 10000*1e2*omega_c1)
|
|
466
|
+
|
|
467
|
+
ax.set_ylim(1e-3*(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2)), 100*1e0*(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2)))
|
|
468
|
+
|
|
469
|
+
ax.set_yscale('log')
|
|
470
|
+
|
|
471
|
+
ax.set_xscale('log')
|
|
472
|
+
|
|
473
|
+
ax.set_title('')
|
|
474
|
+
|
|
475
|
+
ax.set_xlabel('ω')
|
|
476
|
+
|
|
477
|
+
ax.set_ylabel('P')
|
|
478
|
+
|
|
479
|
+
ax.plot(xs1,P1,"c",label="1")
|
|
480
|
+
|
|
481
|
+
ax.plot(xs2,P2,"r",label="2")
|
|
482
|
+
|
|
483
|
+
ax.plot(xs3,P3,"g",label="3")
|
|
484
|
+
|
|
485
|
+
ax.plot(xs4,P4,"b",label="4")
|
|
486
|
+
|
|
487
|
+
ax.plot(xs5,P5,"black",label="5")
|
|
488
|
+
|
|
489
|
+
ax.plot(xs6,P6,"y",label="6")
|
|
490
|
+
|
|
491
|
+
ax.legend()
|
|
492
|
+
|
|
493
|
+
|
|
494
|
+
|
|
495
|
+
plt.show
|
|
496
|
+
|
|
497
|
+
```
|
|
498
|
+
|
|
499
|
+
上記の書き方では、狙っているような変換ができず、プロットされる。
|
|
500
|
+
|
|
501
|
+
|
|
502
|
+
|
|
503
|
+
|