Calculator for the Hankel functions of the first and second kind
This function calculates the Hankel functions of the first kind Hv(1)(x) and the second kind Hv(2)(x)
The Hankel functions are an important formulation of the two linearly independent solutions of the Bessel equation, defined as
\(\displaystyle H_a^{(1)}(x)=J_α(x)+iY_α(x) \)
\(\displaystyle H_a^{(2)}(x)=J_α(x)-iY_α(x) \)
The Hankel functions are used to express outward or inward propagating cylindrical wave solutions of the cylindrical wave equation
The results are complex numbers.
To perform the calculation, enter a real or complex number and the order number. Then click on the 'Calculate' button.
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To read the individual values move the mouse over the graphic
If the real value is 0, the imaginary values are infinite. In order to resolve small values, the Y-scale is limited to +/- 4
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