free_bar_series()

MAYAFLUX_API std::vector< double > MayaFlux::Kinesis::Discrete::free_bar_series	(	size_t	count,
		double	base = 1.0
	)

Ratios of the transverse modes of a uniform free-free beam.

Parameters

count	Number of terms
base	Value of the first term

The squares of the roots of cos(x) cosh(x) = 1, scaled so the first is one: 1, 2.756, 5.404, 8.933, 13.344, and so on, found to machine precision rather than from a table.

Definition at line 42 of file Series.cpp.

{
    std::vector<double> terms(count);
    if (count == 0)
        return terms;
 
    const double first = free_bar_root(1);
    for (size_t i = 0; i < count; ++i) {
        const double ratio = free_bar_root(i + 1) / first;
        terms[i] = base * ratio * ratio;
    }
    return terms;
}

References count.