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Kramers–Kronig relations: Revision history


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  • curprev 00:0600:06, 22 October 2023 2603:8000:8e01:c75:1467:8f5f:35f2:15b8 talk 21,698 bytes +32 In complex analysis functions often defined by z = x + iy where x and y are real and called the Real and Imaginary (Re and Im) parts of the function, but in the case of K-K the Re and Im parts are x and iy. With the previous definitions of chi_1 and chi_2 in this sentence the K-K relationships through the rest of the article need additional factors of i to be correct. Undid my prior changes adding those factors of i, and instead corrected the definition making the old chi_2 now chi_0, new chi_2. undo Tags: Reverted Visual edit

21 October 2023

  • curprev 23:5623:56, 21 October 2023 2603:8000:8e01:c75:1467:8f5f:35f2:15b8 talk 21,666 bytes +2 Formulation: Added in a factor of i in front of the chi2 functions. Imaginary numbers z are often defined by z = x + iy where x and y are real and the imaginary (Im) part of z is JUST y, but in the case of the Kramers-Kronig relations the imaginary part in the commonly seen formula is actually iy. Quick check is that a factor of i will be picked up through the K-K integral, so if it were just chi2 (real, no i), the real part chi1 would be equal to something imaginary against the definition. undo Tags: Reverted Visual edit

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