bessel.h File Reference

Integer-order cylindrical Bessel J_n helpers for beam-style operators. More...

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Functions
double	sim_bessel_j0_f64 (double x)
	Cylindrical Bessel J_0(x) for double-precision real x.
double	sim_bessel_j1_f64 (double x)
	Cylindrical Bessel J_1(x) for double-precision real x.
double	sim_bessel_jn_f64 (int order, double x)
	Cylindrical Bessel J_n(x) for integer order n and double-precision real x.
float	sim_bessel_jn_f32 (int order, float x)
	Cylindrical Bessel J_n(x) for integer order n and single-precision real x.

Detailed Description

Integer-order cylindrical Bessel J_n helpers for beam-style operators.

The implementation combines:

• A convergent power series for moderate arguments.
• Large-argument asymptotics for oscillatory tails.
• Integer-order parity handling for negative orders and arguments.

This keeps common Bessel-beam style operators self-contained without relying on platform-specific special-function extensions.

Function Documentation

sim_bessel_j0_f64()

double sim_bessel_j0_f64

(

double

x

)

Cylindrical Bessel J_0(x) for double-precision real x.

Parameters

x	Real argument.

Returns

Approximate J_0(x).

sim_bessel_j1_f64()

double sim_bessel_j1_f64

(

double

x

)

Cylindrical Bessel J_1(x) for double-precision real x.

Parameters

x	Real argument.

Returns

Approximate J_1(x).

sim_bessel_jn_f32()

float sim_bessel_jn_f32	(	int	order,
		float	x
	)

Cylindrical Bessel J_n(x) for integer order n and single-precision real x.

Parameters

order	Integer Bessel order.
x	Real argument.

Returns

Approximate J_order(x) rounded to float.

sim_bessel_jn_f64()

double sim_bessel_jn_f64	(	int	order,
		double	x
	)

Cylindrical Bessel J_n(x) for integer order n and double-precision real x.

Parameters

order	Integer Bessel order.
x	Real argument.

Returns

Approximate J_order(x).