\h`SrSSKJrJrJrJr S/rSSKJr SSK J r SSK J r SSK Jr SSKJrJrJr \R$"\\- 5r\R$"\S -\S --\\S --- 5r\R$"\\-\S -\S --- 5r"S S\5r"S S\5r"SS\5rg)z **Contains** * Medium )secondmeterkilogramampereMedium)Basic)Str)_sympify)sqrt)speed_of_lightu0e0cR\rSrSrSrS Sjr\S5r\S5r\S5r Sr g) ra This class represents an optical medium. The prime reason to implement this is to facilitate refraction, Fermat's principle, etc. Explanation =========== An optical medium is a material through which electromagnetic waves propagate. The permittivity and permeability of the medium define how electromagnetic waves propagate in it. Parameters ========== name: string The display name of the Medium. permittivity: Sympifyable Electric permittivity of the space. permeability: Sympifyable Magnetic permeability of the space. n: Sympifyable Index of refraction of the medium. Examples ======== >>> from sympy.abc import epsilon, mu >>> from sympy.physics.optics import Medium >>> m1 = Medium('m1') >>> m2 = Medium('m2', epsilon, mu) >>> m1.intrinsic_impedance 149896229*pi*kilogram*meter**2/(1250000*ampere**2*second**3) >>> m2.refractive_index 299792458*meter*sqrt(epsilon*mu)/second References ========== .. [1] https://en.wikipedia.org/wiki/Optical_medium Nc[U[5(d [U5nUb [U5OUnUb [U5OUnUb [U5OUnUbdUb!UcUS-[S-U-- n[ XU5$Ub!UcUS-[S-U-- n[ XU5$UbUb [ S5e[ X5$UbUb [ XU5$UcUc[ U[[5$[ S5e)NrzBSpecifying all of permittivity, permeability, and n is not allowedz^Arguments are underspecified. Either specify n or any two of permittivity, permeability, and n) isinstancer r cMediumPP ValueErrorMediumN_e0mksa_u0mksa)clsname permittivity permeabilityns S/var/www/auris/envauris/lib/python3.13/site-packages/sympy/physics/optics/medium.py__new__Medium.__new__Hs$$$t9D1=1Ix -| 1=1Ix -| =HQKa ='L,@ !tQT,%67 LAA)l.B !tQT,%67 LAA)l.F !efft''  %,*BD = =  !l&:D'73 334 4c URS$)Nrargsselfs r!r Medium.namecyy|r$c([UR- $)z Returns speed of the electromagnetic wave travelling in the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.speed 299792458*meter/second >>> m2 = Medium('m2', n=1) >>> m.speed == m2.speed True )rr r(s r!speed Medium.speedgs"466zr$c([UR- $)z Returns refractive index of the medium. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m') >>> m.refractive_index 1 )rr-r(s r!refractive_indexMedium.refractive_indexzs$** r$)NNN) __name__ __module__ __qualname____firstlineno____doc__r"propertyrr-r0__static_attributes__r2r$r!rrsI.`46$  r$c<^\rSrSrSrU4Sjr\S5rSrU=r $)ral Represents an optical medium for which only the refractive index is known. Useful for simple ray optics. This class should never be instantiated directly. Instead it should be instantiated indirectly by instantiating Medium with only n specified. Examples ======== >>> from sympy.physics.optics import Medium >>> m = Medium('m', n=2) >>> m MediumN(Str('m'), 2) c0>[[U] XU5nU$Nsuperrr")rrr obj __class__s r!r"MediumN.__new__sFC(A6 r$c URS$)Nr&r(s r!r MediumN.nr+r$r2) r3r4r5r6r7r"r8r r9 __classcell__rAs@r!rrs! r$rcl^\rSrSrSrU4Sjr\S5r\S5r\S5r \S5r Sr U=r $) ra Represents an optical medium for which the permittivity and permeability are known. This class should never be instantiated directly. Instead it should be instantiated indirectly by instantiating Medium with any two of permittivity, permeability, and n specified, or by not specifying any of permittivity, permeability, or n, in which case default values for permittivity and permeability will be used. Examples ======== >>> from sympy.physics.optics import Medium >>> from sympy.abc import epsilon, mu >>> m1 = Medium('m1', permittivity=epsilon, permeability=mu) >>> m1 MediumPP(Str('m1'), epsilon, mu) >>> m2 = Medium('m2') >>> m2 MediumPP(Str('m2'), 625000*ampere**2*second**4/(22468879468420441*pi*kilogram*meter**3), pi*kilogram*meter/(2500000*ampere**2*second**2)) c0>[[U] XX#5nU$r=r>)rrrrr@rAs r!r"MediumPP.__new__sFC(LO r$cF[URUR- 5$)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 rrr(s r!intrinsic_impedanceMediumPP.intrinsic_impedances 0D%%(9(99::r$c URS$)z 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) rDr&r(s r!rMediumPP.permittivityyy|r$c URS$)z 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(s r!rMediumPP.permeabilityrQr$cT[[URUR-5-$r=)rr rrr(s r!r MediumPP.ns#d''(9(99:::r$r2) r3r4r5r6r7r"r8rMrrr r9rFrGs@r!rrs],;;2    ;;r$rN)r7sympy.physics.unitsrrrr__all__sympy.core.basicrsympy.core.symbolr sympy.core.sympifyr (sympy.functions.elementary.miscellaneousr r r r convert_torrrrrrr2r$r!r]s @? *"!'966eFl+ -- &!)+XeQh->? @ --h &!)(;< =rUrjf6W;vW;r$