o 8Va@sdZddlmZmZmZmZdgZddlmZm Z m Z ddlm Z m Z m Z e eeZe ededeedZe eeededZGd ddeZd S) z **Contains** * Medium )secondmeterkilogramampereMedium)Symbolsympifysqrt)speed_of_lightu0e0cseZdZdZdfdd ZeddZeddZed d Zed d Z ed dZ ddZ ddZ ddZ ddZddZZS)raW This class represents an optical medium. The prime reason to implement this is to facilitate refraction, Fermat's principle, etc. Explanation =========== An optical medium is a material through which electromagnetic waves propagate. The permittivity and permeability of the medium define how electromagnetic waves propagate in it. Parameters ========== name: string The display name of the Medium. permittivity: Sympifyable Electric permittivity of the space. permeability: Sympifyable Magnetic permeability of the space. n: Sympifyable Index of refraction of the medium. Examples ======== >>> from sympy.abc import epsilon, mu >>> from sympy.physics.optics import Medium >>> m1 = Medium('m1') >>> m2 = Medium('m2', epsilon, mu) >>> m1.intrinsic_impedance 149896229*pi*kilogram*meter**2/(1250000*ampere**2*second**3) >>> m2.refractive_index 299792458*meter*sqrt(epsilon*mu)/second References ========== .. [1] https://en.wikipedia.org/wiki/Optical_medium Ncst||}t||_t||_t||_|dur`|dur.|dur.|dtd|j|_|durB|durB|dtd|j|_|dur^|dur^t|tt|j|jdkr^t d|S|durs|durstt|||_|S|dur|durt |_t |_|S)Nr gư>zValues are not consistent.) super__new__r _permittivity _permeability_ncabsr ValueError_e0mksa_u0mksa)clsname permittivity permeabilitynobj __class__=/usr/lib/python3/dist-packages/sympy/physics/optics/medium.pyrEs(    zMedium.__new__cCst|j|jS)a Returns intrinsic impedance of the medium. Explanation =========== The intrinsic impedance of a medium is the ratio of the transverse components of the electric and magnetic fields of the electromagnetic wave travelling in the medium. In a region with no electrical conductivity it simplifies to the square root of ratio of magnetic permeability to electric permittivity. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.intrinsic_impedance 149896229*pi*kilogram*meter**2/(1250000*ampere**2*second**3) )r rrselfr"r"r#intrinsic_impedanceYszMedium.intrinsic_impedancecCs2|jdur|jdurdt|j|jSt|jS)aM Returns speed of the electromagnetic wave travelling in the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.speed 299792458*meter/second >>> m2 = Medium('m2', n=1) >>> m.speed == m2.speed True N)rrr rrr$r"r"r#speedss z Medium.speedcCs t|jS)z Returns refractive index of the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.refractive_index 1 )rr(r$r"r"r#refractive_indexs zMedium.refractive_indexcC|jS)a Returns electric permittivity of the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.permittivity 625000*ampere**2*second**4/(22468879468420441*pi*kilogram*meter**3) )rr$r"r"r#rzMedium.permittivitycCr*)a Returns magnetic permeability of the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.permeability pi*kilogram*meter/(2500000*ampere**2*second**2) )rr$r"r"r#rr+zMedium.permeabilitycCs.ddlm}t|jd||j|j|jgS)Nr)sstrz: )Zsympy.printingr,type__name__rrr)r%r,r"r"r#__str__s zMedium.__str__cCs |j|jkS)zC Compares based on refractive index of the medium. r)r%otherr"r"r#__lt__s z Medium.__lt__cCs ||k SNr"r1r"r"r#__gt__ z Medium.__gt__cCs |j|jkSr4r0r1r"r"r#__eq__s z Medium.__eq__cCs ||k Sr4r"r1r"r"r#__ne__r6z Medium.__ne__)NNN)r. __module__ __qualname____doc__rpropertyr&r(r)rrr/r3r5r7r8 __classcell__r"r"r r#rs$0     N)r;Zsympy.physics.unitsrrrr__all__Zsympyrrr r r r Z convert_torrrrr"r"r"r#s"