initial commit

dispersion_app.py

@@ -0,0 +1,231 @@
+from __future__ import annotations
+
+import os
+import sys
+import warnings
+from functools import cache
+from typing import Any, NamedTuple
+
+import click
+import numpy as np
+import scgenerator as sc
+import tomli
+from customfunc.app import PlotApp
+from pydantic import BaseModel
+
+DEFAULT_CONFIG_FILE = "config.toml"
+
+
+class Config(BaseModel):
+    wl_min: float
+    wl_max: float
+    wl_pump: float
+    rep_rate: float
+    gas: str
+
+    @classmethod
+    def load(cls, config_file: str | None = None) -> Config:
+        config_file = config_file or DEFAULT_CONFIG_FILE
+        with open(config_file, "rb") as file:
+            d = tomli.load(file)
+        d = cls.default() | d
+        return cls(**d)
+
+    @classmethod
+    def default(cls) -> dict[str, Any]:
+        return dict(wl_min=160, wl_max=1600, wl_pump=800, rep_rate=8e3, gas="argon")
+
+
+class LimitValues(NamedTuple):
+    wl_zero_disp: float
+    ion_lim: float
+    sf_lim: float
+
+
+def b2(w, n_eff):
+    dw = w[1] - w[0]
+    beta = sc.fiber.beta(w, n_eff)
+    return sc.math.differentiate_arr(beta, 2, 4, dw)
+
+
+def N_sf_max(
+    wl: np.ndarray, t0: float, wl_zero_disp: float, gas: sc.materials.Gas, safety: float = 10.0
+) -> np.ndarray:
+    """
+    maximum soliton number according to self focusing
+
+    eq. S15 in Travers2019
+    """
+    delta_gas = gas.sellmeier.delta(wl, wl_zero_disp)
+    return t0 * np.sqrt(wl / (safety * np.abs(delta_gas)))
+
+
+def N_ion_max(
+    wl: np.ndarray, t0: float, wl_zero_disp: float, gas: sc.materials.Gas, safety: float = 10.0
+) -> np.ndarray:
+    """
+    eq. S16 in Travers2019
+    """
+    ind = sc.math.argclosest(wl, wl_zero_disp)
+    f = np.gradient(np.gradient(gas.sellmeier.chi(wl), wl), wl)
+    factor = (sc.math.u_nm(1, 1) / sc.units.c) ** 2 * (0.5 * wl / np.pi) ** 3
+    delta = factor * (f / f[ind] - 1)
+    denom = safety * np.pi * wl * np.abs(delta) * f[ind]
+    return t0 * sc.math.u_nm(1, 1) * np.sqrt(gas.n2() * gas.barrier_suppression / denom)
+
+
+def solition_num(
+    t0: float, w0: float, beta2: float, n2: float, core_radius: float, peak_power: float
+) -> float:
+    gamma = sc.fiber.gamma_parameter(n2, w0, sc.fiber.A_eff_marcatili(core_radius))
+    ld = sc.pulse.L_D(t0, beta2)
+    return np.sqrt(gamma * ld * peak_power)
+
+
+def energy(
+    t0: float, w0: float, beta2: float, n2: float, core_radius: float, solition_num: float
+) -> float:
+    gamma = sc.fiber.gamma_parameter(n2, w0, sc.fiber.A_eff_marcatili(core_radius))
+    peak_power = solition_num**2 * abs(beta2) / (t0**2 * gamma)
+    return sc.pulse.P0_to_E0(peak_power, t0, "sech")
+
+
+def app(config_file: os.PathLike | None = None):
+    config = Config.load(config_file)
+    # grid stuff
+    w = sc.w_from_wl(config.wl_min, config.wl_max, 2048)
+    wl = sc.units.m.inv(w)
+    wl_ind = sc.math.argclosest(wl, config.wl_pump * 1e-9)
+    w0 = w[wl_ind]
+
+    gas = sc.materials.Gas(config.gas)
+
+    with PlotApp(
+        f"Dispersion design with {config.gas.title()}",
+        wall_thickness_um=np.geomspace(0.01, 10),
+        core_diameter_um=np.linspace(50, 300),
+        pressure_mbar=np.geomspace(1, 2000),
+        n_tubes=np.arange(6, 16),
+        gap_um=np.linspace(1, 15),
+        t_fwhm_fs=np.linspace(10, 200),
+    ) as app:
+        # initial setup
+        app[0].horizontal_line("reference", 0, color="gray")
+        app[0].set_xlabel("wavelength (nm)")
+        app[0].set_ylabel("beta2 (fs^2/cm)")
+        app.params["wall_thickness_um"].value = 1
+        app.params["core_diameter_um"].value = 100
+        app.params["pressure_mbar"].value = 500
+        app.params["n_tubes"].value = 7
+        app.params["gap_um"].value = 5
+        app.params["t_fwhm_fs"].value = 100
+        app[0].set_lim(ylim=(-4, 2))
+
+        @cache
+        def compute_max_energy(
+            core_diameter_um: float, pressure_mbar: float, t_fwhm_fs: float
+        ) -> LimitValues:
+            t_fwhm = 1e-15 * t_fwhm_fs
+            pressure = 1e2 * pressure_mbar
+            core_radius = 0.5e-6 * core_diameter_um
+            t0 = sc.pulse.fwhm_to_T0_fac["sech"] * t_fwhm
+
+            disp = compute_capillary(core_diameter_um, pressure_mbar)
+            wl_zero_disp = sc.math.all_zeros(wl, disp)
+            if len(wl_zero_disp) == 0:
+                return
+            wl_zero_disp = wl_zero_disp[0]
+
+            with warnings.catch_warnings():
+                warnings.simplefilter("ignore")
+                ion_limit = N_ion_max(wl, t0, wl_zero_disp, gas)[wl_ind]
+                sf_limit = N_sf_max(wl, t0, wl_zero_disp, gas)[wl_ind]
+
+            beta2 = disp[wl_ind]
+            n2 = gas.n2(pressure=pressure)
+
+            return LimitValues(
+                wl_zero_disp,
+                energy(t0, w0, beta2, n2, core_radius, ion_limit),
+                energy(t0, w0, beta2, n2, core_radius, sf_limit),
+            )
+
+        @cache
+        def compute_vincetti(
+            wall_thickness_um: float,
+            core_diameter_um: float,
+            pressure_mbar: float,
+            n_tubes: int,
+            gap_um: float,
+        ) -> np.ndarray:
+            core_diameter = core_diameter_um * 1e-6
+            wall_thickness = wall_thickness_um * 1e-6
+            gap = gap_um * 1e-6
+            pressure = pressure_mbar * 1e2
+
+            tr = sc.fiber.tube_radius_from_gap(core_diameter / 2, gap, n_tubes)
+            n_gas_2 = gas.sellmeier.n_gas_2(wl, None, pressure)
+            n_eff_vinc = sc.fiber.n_eff_vincetti(
+                wl, 800e-9, n_gas_2, wall_thickness, tr, gap, n_tubes
+            )
+            return b2(w, n_eff_vinc)
+
+        @cache
+        def compute_capillary(core_diameter_um: float, pressure_mbar: float) -> np.ndarray:
+            pressure = pressure_mbar * 1e2
+            core_diameter = core_diameter_um * 1e-6
+            n_gas_2 = gas.sellmeier.n_gas_2(wl, None, pressure)
+            n_eff_cap = sc.fiber.n_eff_marcatili(wl, n_gas_2, core_diameter / 2)
+            return b2(w, n_eff_cap)
+
+        @app.update
+        def draw_vincetty(
+            wall_thickness_um: float,
+            core_diameter_um: float,
+            pressure_mbar: float,
+            n_tubes: int,
+            gap_um: float,
+        ):
+            b2 = compute_vincetti(
+                wall_thickness_um, core_diameter_um, pressure_mbar, n_tubes, gap_um
+            )
+            app[0].set_line_data("Vincetti", wl * 1e9, sc.units.beta2_fs_cm_inv(b2))
+
+        @app.update
+        def draw_capillary(core_diameter_um: float, pressure_mbar: float):
+            b2 = compute_capillary(core_diameter_um, pressure_mbar)
+            app[0].set_line_data("Capillary", wl * 1e9, sc.units.beta2_fs_cm_inv(b2))
+
+        @app.update
+        def draw_energy_limit(core_diameter_um: float, pressure_mbar: float, t_fwhm_fs: float):
+            lim = compute_max_energy(core_diameter_um, pressure_mbar, t_fwhm_fs)
+            if lim.ion_lim > lim.sf_lim:
+                power = lim.sf_lim * 1e3 * config.rep_rate
+                app[0].set_line_name(
+                    "Capillary", f"Capillary, max energy = {power:.0f}mW (self-focusing)"
+                )
+            else:
+                power = lim.ion_lim * 1e3 * config.rep_rate
+                app[0].set_line_name(
+                    "Capillary", f"Capillary, max energy = {power:.0f}mW (ionization)"
+                )
+
+            zdw = lim.wl_zero_disp * 1e9
+            app[0].set_line_data("zdw", [zdw, zdw], [0, 1])
+            app[0].set_line_name("zdw", f"ZDW = {zdw:.0f}nm")
+
+
+@click.command()
+@click.option(
+    "-c",
+    "--config",
+    default=DEFAULT_CONFIG_FILE,
+    help="configuration file in TOML format",
+    type=click.Path(exists=True, file_okay=True, dir_okay=False, resolve_path=True),
+)
+def main(config: os.PathLike):
+    app(config)
+
+
+if __name__ == "__main__" and not hasattr(sys, "ps1"):
+    main()