From b702e59d94ea787c04e7930d4db2cfb6513b996a Mon Sep 17 00:00:00 2001 From: BrokenVoodooDoll Date: Tue, 14 Mar 2023 01:30:38 +0400 Subject: [PATCH] Added images --- README.md | 12 +++- assignment.ipynb | 74 ++++++++++++++----------- images/modulator_of_image_analyzer.png | Bin 0 -> 928695 bytes images/optical_system.png | Bin 0 -> 385411 bytes images/pupil_variants.png | Bin 0 -> 513908 bytes 5 files changed, 50 insertions(+), 36 deletions(-) create mode 100644 images/modulator_of_image_analyzer.png create mode 100644 images/optical_system.png create mode 100644 images/pupil_variants.png diff --git a/README.md b/README.md index fd294d6..d2f8020 100644 --- a/README.md +++ b/README.md @@ -1,10 +1,16 @@ # Optoelectronic Systems Theory Assignment -1. For a cylindrical diffraction-limited optical system (Fig. 1), on which a plane monochromatic wave with length $\lambda$ and amplitude $A=1$ falls, find: +1. For a cylindrical diffraction-limited optical system, on which a plane monochromatic wave with length $\lambda$ and amplitude $A=1$ falls, find: 1. A coherent transfer function $\tilde{h}(\nu_x)$ and plot its graph 2. An optical transfer function $\tilde{H}_N^{OS}(\nu_x)$ and plot its graph -2. Find a polychromatic transfer function $\tilde{H}^{PC}(\nu_x)$ for the radiation of a corresponding blackbody with temperature $T$, if the image is formed in the rear focal plane, and the spectral sensitivity of the radiation receiver is approximated by a Gaussian distribution with a mathematical expectation of 600 nm and a standard deviation of 100 nm. The pupil function $P(\xi)$ is shown in Figure 2. +![](images/optical_system.png) -3. Find the time-frequency spectrum of the radiation flux $\tilde{\Phi}_t(\nu_t)$ and the magnitude of the radiation flux $\Phi_t(t)$ in the image analysis plane of the optical system at the output of the modulator of the image analyzer during its linear scanning (Fig. 3) and plot their graphs. The optical system is a lens with a normalized scattering function $H_N^{OS}(x', y')=\delta(x', y')$, the source of radiation is an object in the form of a rectangle with a constant energy brightness $L_0$, the study of which obeys Lambert's law. The modulator of the image analyzer is a lattice with a cosine distribution of the transmission coefficient along the x axis. \ No newline at end of file +2. Find a polychromatic transfer function $\tilde{H}^{PC}(\nu_x)$ for the radiation of a corresponding blackbody with temperature $T$, if the image is formed in the rear focal plane, and the spectral sensitivity of the radiation receiver is approximated by a Gaussian distribution with a mathematical expectation of 600 nm and a standard deviation of 100 nm. + +![](images/pupil_variants.png) + +3. Find the time-frequency spectrum of the radiation flux $\tilde{\Phi}_t(\nu_t)$ and the magnitude of the radiation flux $\Phi_t(t)$ in the image analysis plane of the optical system at the output of the modulator of the image analyzer during its linear scanning and plot their graphs. The optical system is a lens with a normalized scattering function $H_N^{OS}(x', y')=\delta(x', y')$, the source of radiation is an object in the form of a rectangle with a constant energy brightness $L_0$, the study of which obeys Lambert's law. The modulator of the image analyzer is a lattice with a cosine distribution of the transmission coefficient along the x axis. + +![](images/modulator_of_image_analyzer.png) \ No newline at end of file diff --git a/assignment.ipynb b/assignment.ipynb index 515ff1c..413eb72 100644 --- a/assignment.ipynb +++ b/assignment.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -52,7 +52,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -74,9 +74,19 @@ "## Pupil function" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Pupil variants\n", + "\n", + "![](images/pupil_variants.png)" + ] + }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -86,7 +96,7 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -119,15 +129,17 @@ "source": [ "## Part 1\n", "\n", - "For a cylindrical diffraction-limited optical system (Fig. 1), on which a plane monochromatic wave with length $\\lambda$ and amplitude $A=1$ falls, find:\n", + "For a cylindrical diffraction-limited optical system, on which a plane monochromatic wave with length $\\lambda$ and amplitude $A=1$ falls, find:\n", "\n", "1. A coherent transfer function $\\tilde{h}(\\nu_x)$ and plot its graph\n", - "2. An optical transfer function $\\tilde{H}_N^{OS}(\\nu_x)$ and plot its graph" + "2. An optical transfer function $\\tilde{H}_N^{OS}(\\nu_x)$ and plot its graph\n", + "\n", + "![](images/optical_system.png)" ] }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -146,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 120, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -160,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -194,12 +206,12 @@ "source": [ "## Part 2\n", "\n", - "Find a polychromatic transfer function $\\tilde{H}^{PC}(\\nu_x)$ for the radiation of a corresponding blackbody with temperature $T$, if the image is formed in the rear focal plane, and the spectral sensitivity of the radiation receiver is approximated by a Gaussian distribution with a mathematical expectation of 600 nm and a standard deviation of 100 nm. The pupil function $P(\\xi)$ is shown in Figure 2." + "Find a polychromatic transfer function $\\tilde{H}^{PC}(\\nu_x)$ for the radiation of a corresponding blackbody with temperature $T$, if the image is formed in the rear focal plane, and the spectral sensitivity of the radiation receiver is approximated by a Gaussian distribution with a mathematical expectation of 600 nm and a standard deviation of 100 nm." ] }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -218,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -239,25 +251,19 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_10780\\2852790975.py:7: RuntimeWarning:\n", - "\n", - "divide by zero encountered in divide\n", - "\n", - "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_10780\\2852790975.py:7: RuntimeWarning:\n", - "\n", - "overflow encountered in exp\n", - "\n", - "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_10780\\2852790975.py:8: RuntimeWarning:\n", - "\n", - "invalid value encountered in multiply\n", - "\n" + "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_19260\\2852790975.py:7: RuntimeWarning: divide by zero encountered in divide\n", + " exp = np.exp((2 * np.pi * constants.hbar * c) / (wavelength * constants.k * T))\n", + "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_19260\\2852790975.py:7: RuntimeWarning: overflow encountered in exp\n", + " exp = np.exp((2 * np.pi * constants.hbar * c) / (wavelength * constants.k * T))\n", + "C:\\Users\\Maksim Vinogradov\\AppData\\Local\\Temp\\ipykernel_19260\\2852790975.py:8: RuntimeWarning: invalid value encountered in multiply\n", + " denominator = (wavelength ** 5) * (exp - 1)\n" ] }, { @@ -293,7 +299,7 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -316,7 +322,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -332,7 +338,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -364,7 +370,9 @@ "source": [ "## Part 3\n", "\n", - "Find the time-frequency spectrum of the radiation flux $\\tilde{\\Phi}_t(\\nu_t)$ and the magnitude of the radiation flux $\\Phi_t(t)$ in the image analysis plane of the optical system at the output of the modulator of the image analyzer during its linear scanning (Fig. 3) and plot their graphs. The optical system is a lens with a normalized scattering function $H_N^{OS}(x', y')=\\delta(x', y')$, the source of radiation is an object in the form of a rectangle with a constant energy brightness $L_0$, the study of which obeys Lambert's law. The modulator of the image analyzer is a lattice with a cosine distribution of the transmission coefficient along the $x$ axis." + "Find the time-frequency spectrum of the radiation flux $\\tilde{\\Phi}_t(\\nu_t)$ and the magnitude of the radiation flux $\\Phi_t(t)$ in the image analysis plane of the optical system at the output of the modulator of the image analyzer during its linear scanning and plot their graphs. The optical system is a lens with a normalized scattering function $H_N^{OS}(x', y')=\\delta(x', y')$, the source of radiation is an object in the form of a rectangle with a constant energy brightness $L_0$, the study of which obeys Lambert's law. The modulator of the image analyzer is a lattice with a cosine distribution of the transmission coefficient along the $x$ axis.\n", + "\n", + "![](images/modulator_of_image_analyzer.png)" ] }, { @@ -377,7 +385,7 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -401,7 +409,7 @@ }, { "cell_type": "code", - "execution_count": 140, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -423,7 +431,7 @@ }, { "cell_type": "code", - "execution_count": 142, + "execution_count": 17, "metadata": {}, "outputs": [ { diff --git a/images/modulator_of_image_analyzer.png b/images/modulator_of_image_analyzer.png new file mode 100644 index 0000000000000000000000000000000000000000..8734a31089892dd167cd0a5f1e87ab79585f5b6c GIT binary patch literal 928695 zcmY&f1z42b)}_0dt_n{N{(<+cMQIv#%DiP;_p!NJ|XS5uVN^D^DbMK2(p zxNoy-nQL-!;{Bw`V8r~WKQHo;YTviR-*u_dM(K}}6A5G$*%g_?9xFL$J3wYH7Tqrl 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