{
    "info": {
        "author": "Luis Miguel Sanchez Brea / Jesus del Hoyo Munoz",
        "author_email": "optbrea@ucm.es",
        "bugtrack_url": null,
        "classifiers": [
            "Development Status :: 4 - Beta",
            "Intended Audience :: Science/Research",
            "License :: OSI Approved :: MIT License",
            "Natural Language :: English",
            "Programming Language :: Python :: 2.7",
            "Programming Language :: Python :: 3",
            "Programming Language :: Python :: 3.4",
            "Programming Language :: Python :: 3.5",
            "Programming Language :: Python :: 3.6",
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        "description": "========================\nPython polarization\n========================\n\n\n.. image:: https://img.shields.io/pypi/v/py_pol.svg\n        :target: https://pypi.org/project/py-pol/\n\n.. image:: https://img.shields.io/travis/optbrea/py_pol.svg\n        :target: https://bitbucket.org/optbrea/py_pol/src/master/\n\n.. image:: https://readthedocs.org/projects/py-pol/badge/?version=latest\n        :target: https://py-pol.readthedocs.io/en/latest/\n        :alt: Documentation Status\n\n\n\n* Free software: MIT license\n* Documentation: https://py-pol.readthedocs.io/en/latest/\n\n.. image:: logo.png\n   :width: 75\n   :align: right\n\n\n\nFeatures\n----------------\nPy-pol is a Python library for Jones and Stokes-Mueller polarization optics. It has 4 main module:\n\n    * jones_vector - for generation of polarization states in 2x1 Jones formalism.\n\n    * jones_matrix - for generation of 2x2 matrix polarizers.\n\n    * stokes - for generation of polarization states in 2x2 Stokes formalism.\n\n    * mueller - for generation of 4x4 matrix polarizers.\n\n\nEach one has its own class, with multiple methods for generation, operation and parameters extraction.\n\nExamples\n-----------\n\nJones formalism\n=================\n\nGenerating Jones vectors and Matrices\n\n.. code-block:: python\n\n    from py_pol.jones_vector import Jones_vector\n    from py_pol.jones_matrix import Jones_matrix\n    from py_pol.utils import degrees\n\n    j0 = Jones_vector(\"j0\")\n    j0.linear_light(angle=45*degrees)\n\n    m0 = Jones_matrix(\"m0\")\n    m0.diattenuator_linear( p1=0.75, p2=0.25, angle=45*degrees)\n\n    m1 = Jones_matrix(\"m1\")\n    m1.quarter_waveplate(angle=0 * degrees)\n\n    j1=m1*m0*j0\n\nExtracting information form Jones Vector.\n\n.. code-block:: python\n\n    print(j0,'\\n')\n    print(j0.parameters)\n\n.. code-block:: python\n\n    j0 = [+0.707; +0.707]'\n\n    parameters of j0:\n        intensity        : 1.000 arb.u\n        alpha            : 45.000 deg\n        delay            : 0.000 deg\n        azimuth          : 45.000 deg\n        ellipticity angle: 0.000 deg\n        a, b             : 1.000  0.000\n        phase            : 0.000 deg\n\n.. code-block:: python\n\n    print(j1,'\\n')\n    print(j1.parameters)\n\n.. code-block:: python\n\n        m1 * m0 @45.00 deg * j0 = [+0.530+0.000j; +0.000+0.530j]'\n\n        parameters of m1 * m0 @45.00 deg * j0:\n            intensity        : 0.562 arb.u\n            alpha            : 45.000 deg\n            delay            : 90.000 deg\n            azimuth          : 8.618 deg\n            ellipticity angle: -45.000 deg\n            a, b             : 0.530  0.530\n            phase            : 0.000 deg\n\nExtracting information form Jones Matrices.\n\n.. code-block:: python\n\n    print(m0,'\\n')\n    print(m0.parameters)\n\n.. code-block:: python\n\n        m0 @45.00 deg =\n              [+0.500, +0.250]\n              [+0.250, +0.500]\n\n        parameters of m0 @45.00 deg:\n            is_homogeneous: True\n            delay:          0.000 deg\n            diattenuation:  0.800\n\n\n.. code-block:: python\n\n\n    print(m1,'\\n')\n    print(m1.parameters)\n\n\n.. code-block:: python\n\n\n        m1 =\n              [+1+0j, +0+0j]\n              [+0+0j, +0+1j]\n\n        parameters of m1:\n            is_homogeneous: True\n            delay:          90.000 deg\n            diattenuation:  0.000\n\n\n\n\nStokes-Mueller formalism\n==================================\n\nGenerating Stokes vectors and Mueller matrices.\n\n\n.. code-block:: python\n\n\n    from py_pol.stokes import Stokes\n    from py_pol.mueller import Mueller\n    from py_pol.utils import degrees\n\n    j0 = Stokes(\"j0\")\n    j0.linear_light(angle=45*degrees)\n\n    m1 = Mueller(\"m1\")\n    m1.diattenuator_linear(p1=1, p2=0, angle=0*degrees)\n\n    j1=m1*j0\n\n\nExtracting information from Stokes vectors.\n\nDetermining the intensity of a Stokes vector:\n\n.. code-block:: python\n\n    i1=j0.parameters.intensity()\n    print(\"intensity = {:4.3f} arb. u.\".format(i1))\n\n\n.. code-block:: python\n\n    intensity = 1.000 arb. u.\n\nDetermining all the parameters of a Stokes vector:\n\n.. code-block:: python\n\n\n    print(j0,'\\n')\n    print(j0.parameters)\n\n.. code-block:: python\n\n        j0 = [ +1;  +0;  +1;  +0]\n\n\n        parameters of j0:\n            intensity             : 1.000 arb. u.\n            amplitudes            : E0x 0.707, E0y 0.707, E0_unpol 0.000\n            degree polarization   : 1.000\n            degree linear pol.    : 1.000\n            degree   circular pol.: 0.000\n            alpha                 : 45.000 deg\n            delay                 : 0.000 deg\n            azimuth               : 45.000 deg\n            ellipticity  angle    : 0.000 deg\n            ellipticity  param    : 0.000\n            eccentricity          : 1.000\n            polarized vector      : [+1.000; +0.000; +1.000; +0.000]'\n            unpolarized vector    : [+0.000; +0.000; +0.000; +0.000]'\n\n.. code-block:: python\n\n\n    print(j1,'\\n')\n    print(j1.parameters)\n\n.. code-block:: python\n\n        m1 * j0 = [+0.500; +0.500; +0.000; +0.000]\n\n        parameters of m1 * j0:\n            intensity             : 0.500 arb. u.\n            amplitudes            : E0x 0.707, E0y 0.000, E0_unpol 0.000\n            degree polarization   : 1.000\n            degree linear pol.    : 1.000\n            degree   circular pol.: 0.000\n            alpha                 : 0.000 deg\n            delay                 : 0.000 deg\n            azimuth               : 0.000 deg\n            ellipticity  angle    : 0.000 deg\n            ellipticity  param    : 0.000\n            eccentricity          : 1.000\n            polarized vector      : [+0.500; +0.500; +0.000; +0.000]'\n            unpolarized vector    : [+0.000; +0.000; +0.000; +0.000]'\n\n\n\n\nExtracting information from Mueller matrices.\n\n.. code-block:: python\n\n    m2 = Mueller(\"m2\")\n    m2.diattenuator_retarder_linear(D=90*degrees, p1=1, p2=0.5, angle=0)\n    delay = m2.parameters.retardance()\n    print(\"delay = {:2.1f}\u00ba\".format(delay/degrees))\n\n.. code-block:: python\n\n    delay = 90.0\u00ba\n\nThere is a function in Parameters_Jones_Vector class, .get_all() that will compute all the parameters available and stores in a dictionary .dict_params(). Info about dict parameters can be revised using the print function.\n\n\n.. code-block:: python\n\n    print(m2,'\\n')\n    m2.parameters.get_all()\n    print(m2.parameters)\n\n\n.. code-block:: python\n\n        m2 =\n          [+0.6250, +0.3750, +0.0000, +0.0000]\n          [+0.3750, +0.6250, +0.0000, +0.0000]\n          [+0.0000, +0.0000, +0.0000, +0.5000]\n          [+0.0000, +0.0000, -0.5000, +0.0000]\n\n      Parameters of m2:\n          Transmissions:\n              - Mean                  : 62.5 %.\n              - Maximum               : 100.0 %.\n              - Minimum               : 25.0 %.\n          Diattenuation:\n              - Total                 : 0.600.\n              - Linear                : 0.600.\n              - Circular              : 0.000.\n          Polarizance:\n              - Total                 : 0.600.\n              - Linear                : 0.600.\n              - Circular              : 0.000.\n          Spheric purity              : 0.872.\n          Retardance                  : 1.571.\n          Polarimetric purity         : 1.000.\n          Depolarization degree       : 0.000.\n          Depolarization factors:\n              - Euclidean distance    : 1.732.\n              - Depolarization factor : 0.000.\n          Polarimetric purity indices:\n              - P1                    : 1.000.\n              - P2                    : 1.000.\n              - P3                    : 1.000.\n\nThere are many types of Mueller matrices. The Check_Mueller calss implements all the checks that can be performed in order to clasify a Mueller matrix. They are stored in the checks field of Mueller class.\n\n\n.. code-block:: python\n\n    m1 = Mueller(\"m1\")\n    m1.diattenuator_linear(p1=1, p2=0.2, angle=0*degrees)\n    print(m1,'\\n')\n\n    c1 = m1.checks.is_physical()\n    c2 = m1.checks.is_homogeneous()\n    c3 = m1.checks.is_retarder()\n    print('The linear diattenuator is physical: {}; hogeneous: {}; and a retarder: {}.'.format(c1, c2, c3))\n\n\n.. code-block:: python\n\n    m1 =\n      [+0.520, +0.480, +0.000, +0.000]\n      [+0.480, +0.520, +0.000, +0.000]\n      [+0.000, +0.000, +0.200, +0.000]\n      [+0.000, +0.000, +0.000, +0.200]\n\n\n    The linear diattenuator is physical: True; hogeneous: True; and a retarder: False.\n\nDrawings\n===========\n\nThe modules also allows to obtain graphical representation of polarization.\n\nDrawing polarization ellipse for Jones vectors.\n\n.. image:: ellipse_Jones_1.png\n   :width: 600\n\n.. image:: ellipse_Jones_3.png\n   :width: 600\n\n\nDrawing polarization ellipse for Stokes vectors with random distribution due to unpolarized part of light.\n\n.. image:: ellipse_Stokes_1.png\n   :width: 600\n\n.. image:: ellipse_Stokes_2.png\n   :width: 600\n\nDrawing Stokes vectors in Poincare sphere.\n\n.. image:: poincare2.png\n   :width: 600\n\n.. image:: poincare3.png\n   :width: 600\n\n.. image:: poincare4.png\n   :width: 600\n\nAuthors\n----------------\n\n* Luis Miguel Sanchez Brea <optbrea@ucm.es>\n* Jesus del Hoyo <jhoyo@ucm.es>\n\n    **Universidad Complutense de Madrid**,\n    Faculty of Physical Sciences,\n    Department of Optics\n    Plaza de las ciencias 1,\n    ES-28040 Madrid (Spain)\n\n.. image:: logoUCM.png\n   :width: 125\n   :align: right\n\nCiting\n----------------\nL.M. Sanchez Brea, J. del Hoyo \"py-pol, python module for polarization optics\", https://pypi.org/project/py-pol/ (2019)\n\nReferences\n------------\n\n* D Goldstein \"Polarized light\" 2nd edition, Marcel Dekker (1993).\n\n* JJ Gil, R. Ossikovsky \"Polarized light and the Mueller Matrix approach\", CRC Press (2016).\n\n* C Brosseau \"Fundamentals of Polarized Light\" Wiley (1998).\n\n* R Martinez-Herrero, P.M. Mejias, G.Piquero \"Characterization of partially polarized light fields\" Springer series in Optical sciences (2009).\n\n* JM Bennet \"Handbook of Optics 1\" Chapter 5 'Polarization'.\n\n* RA Chipman \"Handbook of Optics 2\" Chapter 2 'Polarimetry'.\n\n* SY Lu and RA Chipman, \"Homogeneous and inhomogeneous Jones matrices\",  J. Opt. Soc. Am. A 11(2) 766 (1994).\n\n\nAcknowlegments\n------------------------\nThis software was initially developed for the project Retos-Colaboraci\u00f3n 2016 \"Ecograb\"  RTC-2016-5277-5: Ministerio de Econom\u00eda y Competitivdad (Spain) and the European funds for regional development (EU), led by Luis Miguel Sanchez-Brea\n\n\nCredits\n---------\n\nThis package was created with Cookiecutter_ and the `audreyr/cookiecutter-pypackage`_ project template.\n\n.. _Cookiecutter: https://github.com/audreyr/cookiecutter\n.. _`audreyr/cookiecutter-pypackage`: https://github.com/audreyr/cookiecutter-pypackage\n\n\n=======\nHistory\n=======\n\n0.1.1 (2018-12-22)\n------------------\n\n* First release on PyPI in pre-alpha state.\n\n\n0.1.3 (2019-01-22)\n------------------\n\nalpha state\n\n* Jones_vector, Jones_matrix, Stokes works.\n* Mueller is in progress.\n* Functions = 9/10\n* Documentation = 8/10\n* Tutorial = 7/10.\n* Examples = 6/10.\n* Drawing = 0/10.\n\n\n0.1.4 (2019-02-03)\n------------------\n\nalpha state\n\n* Jones_vector, Jones_matrix, Stokes works.\n* Mueller is in progress.\n* Functions = 9/10\n* Documentation = 8/10\n* Tutorial = 8/10.\n* Examples = 8/10.\n* Tests = 8/10\n* Drawing = 10/10. Finished. Polarization ellipse for Jones and Stokes (partially random). Stokes on Poincar\u00e9 sphere.\n\n\n0.1.5 (2019-02-25)\n------------------\n\nalpha state\n\n* Jones_vector, Jones_matrix, Stokes works.\n* Jones_vector: simplify function to represent better Jones vectors.\n* tests drawing: Made tests for drawing\n\n* Mueller is in progress.\n* Functions = 9/10\n* Documentation = 8/10\n* Tutorial = 8/10.\n* Examples = 8/10.\n* Tests = 8/10\n* Drawing = 10/10. Finished. Polarization ellipse for Jones and Stokes (partially random). Stokes on Poincar\u00e9 sphere.\n\n\n0.2.0 (2019-05-25)\n------------------\n\nbeta state\n\n* Upgrade to Python 3\n* Stable version including tests\n\n\n0.2.1 (2019-09-04)\n------------------\n\nbeta state\n\n* Bug fixes.\n* Solve incidents.\n* Start to homogenize structures for both Jones and Stokes.\n\n\n0.2.2 (2019-09-04)\n------------------\n\nbeta state\n\n* Bug fixes.\n\n\n",
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