Polarization and magnetic field

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SUMMARY

This discussion focuses on the behavior of the magnetic field of light after polarization, specifically through linear polarizing filters and reflection at Brewster's angle. When unpolarized light passes through a horizontally oriented linear polarizing filter, only the horizontal components of the electric field are transmitted, while the magnetic field remains perpendicular to the electric field. The magnetic field's orientation and magnitude depend on the polarization method, with implications for both transmitted and reflected light, particularly in relation to Fresnel's equations and boundary conditions at interfaces like air-water.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with polarization concepts
  • Knowledge of Fresnel's equations
  • Basic principles of light-matter interaction
NEXT STEPS
  • Study the relationship between electric and magnetic fields in polarized light
  • Explore Fresnel's equations for reflection and transmission at interfaces
  • Investigate the implications of Brewster's angle on light polarization
  • Examine the boundary conditions for electromagnetic fields at material interfaces
USEFUL FOR

Physicists, optical engineers, and students studying electromagnetism or optics who seek to deepen their understanding of light polarization and its effects on electromagnetic fields.

polarizer
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Hi all,
( my thought process is confusing me and giving me a headache, so I figured I post my question here...:smile: )

my general question is what happens to the magnetic field of the light after light has been polarized? Does it matter how light has been polarized - going through 'filter' ( filter type/material matters?), or by reflection, etc.?

1. For example, if there is white un-polarized light going through a linear polarizing filter, say horizontally oriented, only horizontal components of the light's electric field will go through, and we get horizontally polarized light as a result...i.e. light's electric field has only one orientation - horizontal. How is magnetic field affected by this passage through the filter? What is the resulting light's magnetic field, and how is it oriented?
Since magnetic field is perpendicular to the electric field, did magnetic field:
- just go through the filter unaffected (i.e same magnitude and direction as before filter)
- only horizontal components of the magnetic field got through ( same as E field...which would imply that electric and magnetic fields are co-planar ?)
- it's still 90 deg to the E field, but appropriately scaled to the strength of the horizontally oriented E field?
- or something else?

2. Take same white unpolarized light, and let's look at it from the prospective of polarization by reflection, say air-water interface, and light's incident angle being equal to Brewster's angle.
What happens to the magnetic field of the reflected (s-polarized) light? E field is polarized because of the interaction with electric dipoles in the water... however dipoles don't radiate energy in direction of the dipole moment...So what happens to the magnetic field of the reflected light? Is it there, still at 90deg from E field or...? Transmitted ( p-polarized) light is partially polarized, but still the same question about it's magnetic field...

Thanks!
 
Last edited:
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the light is polarized, not the individual electric and magnetic fields, they maintain their relationship.

Chariatanza: light does not have mass and the rest of your post is "not even wrong".
 
polarizer said:
Hi all,
( my thought process is confusing me and giving me a headache, so I figured I post my question here...:smile: )

my general question is what happens to the magnetic field of the light after light has been polarized? Does it matter how light has been polarized - going through 'filter' ( filter type/material matters?), or by reflection, etc.?

1. For example, if there is white un-polarized light going through a linear polarizing filter, say horizontally oriented, only horizontal components of the light's electric field will go through, and we get horizontally polarized light as a result...i.e. light's electric field has only one orientation - horizontal. How is magnetic field affected by this passage through the filter? What is the resulting light's magnetic field, and how is it oriented?
Since magnetic field is perpendicular to the electric field, did magnetic field:
- just go through the filter unaffected (i.e same magnitude and direction as before filter)
- only horizontal components of the magnetic field got through ( same as E field...which would imply that electric and magnetic fields are co-planar ?)
- it's still 90 deg to the E field, but appropriately scaled to the strength of the horizontally oriented E field?
- or something else?

2. Take same white unpolarized light, and let's look at it from the prospective of polarization by reflection, say air-water interface, and light's incident angle being equal to Brewster's angle.
What happens to the magnetic field of the reflected (s-polarized) light? E field is polarized because of the interaction with electric dipoles in the water... however dipoles don't radiate energy in direction of the dipole moment...So what happens to the magnetic field of the reflected light? Is it there, still at 90deg from E field or...? Transmitted ( p-polarized) light is partially polarized, but still the same question about it's magnetic field...

Thanks!


i don't know about your first question , i am also interested to know

but for your 2nd question, i think you have to solve fresnel's equation

there is a set of boundary conditions that relate the E and B fields, for interfaces like air-water.
 

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