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Manuscript I-B-VP-2@1 · I-B-VP-2-v1.tex · section · f4bd2b11

The diffracted coefficient and its nonvanishing criterion

The diffracted coefficient and its nonvanishing criterion · lines 999–1017

I-B-VP-2@1#eq:A

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Set

c = \frac{π}{α} .

On the complement of the angular transition set, define

A_{α, β} (δ) = \frac{e ^{i β δ} sin (( 1 - β ) c ) + e ^{- i (1 - β) δ} sin ( β c )}{cos c - cos δ} .

This is a complex, real-analytic angular function in each transition-free angular interval.

Displayed formulas in this passage

I-B-VP-2@1#eq:A · line 1007
$A_{α, β} (δ) = \frac{e ^{i β δ} sin (( 1 - β ) c ) + e ^{- i (1 - β) δ} sin ( β c )}{cos c - cos δ} .$
unlabeled · line 1003
$c = \frac{π}{α} .$

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