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sciforge_lib/physics/optics/
diffraction.rs

1pub fn single_slit_intensity(theta: f64, a: f64, wavelength: f64) -> f64 {
2    let beta = std::f64::consts::PI * a * theta.sin() / wavelength;
3    if beta.abs() < 1e-15 {
4        return 1.0;
5    }
6    (beta.sin() / beta).powi(2)
7}
8
9pub fn double_slit_intensity(theta: f64, d: f64, wavelength: f64) -> f64 {
10    let delta = std::f64::consts::PI * d * theta.sin() / wavelength;
11    delta.cos().powi(2)
12}
13
14pub fn diffraction_grating_maxima(d: f64, wavelength: f64, order: i32) -> f64 {
15    let sin_theta = order as f64 * wavelength / d;
16    if sin_theta.abs() > 1.0 {
17        return f64::NAN;
18    }
19    sin_theta.asin()
20}
21
22pub fn resolving_power_grating(order: i32, n_slits: u32) -> f64 {
23    order.abs() as f64 * n_slits as f64
24}
25
26pub fn rayleigh_criterion(wavelength: f64, aperture: f64) -> f64 {
27    1.22 * wavelength / aperture
28}
29
30pub fn airy_disk_radius(wavelength: f64, f_number: f64) -> f64 {
31    1.22 * wavelength * f_number
32}
33
34pub fn fraunhofer_distance(aperture: f64, wavelength: f64) -> f64 {
35    2.0 * aperture * aperture / wavelength
36}
37
38pub fn grating_dispersion(order: i32, d: f64, theta: f64) -> f64 {
39    order as f64 / (d * theta.cos())
40}
41
42pub fn bragg_condition(d_spacing: f64, theta: f64, wavelength: f64) -> f64 {
43    2.0 * d_spacing * theta.sin() / wavelength
44}
45
46pub fn circular_aperture_first_zero(wavelength: f64, diameter: f64) -> f64 {
47    1.22 * wavelength / diameter
48}