FindRootsInRange

Find analytical eigenvalue roots over a bounded search interval.

Developer documentation: this item describes internal implementation details.

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Declaration

 r = FindRootsInRange(self,nu,s,bounds,expMinusDOverB)

Parameters

• self InternalModesExponentialStratification instance
• nu order function for the Bessel solution
• s argument function for the Bessel solution
• bounds two-element search interval
• expMinusDOverB exponential lower-bound factor e^{-D/b}

Returns

• r sorted root vector

Discussion

                nu(x) is a function of x [used in the solution J_\nu(s)]   s(x) is a function of x [used in the solution J_\nu(s)]   bounds is the [xmin xmax] of the region to search for roots   x_nu is where the solution transitions from big_nu to   small_nu