![0
0
B
D
t
H
E
t
E
H
• In Maxwell’s equations, E is the electric field expressed in [V/m], H is the
magnetic field expressed in [A/m].
typermeabiliMagnetic:[H/m]
typermittiviElectric:[F/m]
operationcurlis:
operationdivergenceis:
](https://image.slidesharecdn.com/emmodetheory-170319141249/85/Electro-magnetic-mode-theory-4-320.jpg)
Electro magnetic mode theory
- 2. Name Registration No. UMAIZ AHMAD FA14-BEE-003 YASIR ZULFIQAR FA14-BEE-015
- 3. Electromagnetic mode Theory for Optical Propagation: Light is an electromagnetic phenomenon described by the same theoretical Principles that govern all forms of electromagnetic radiation. Maxwell’s equations are in the heart of electromagnetic theory & is fully successful in providing treatment of light propagation. Electromagnetic optics provides the most complete treatment of light phenomena in the context of classical optics. Electromagnetic radiation propagates in the form of two mutually coupled vector waves, an electric field wave & a magnetic field wave. Both are vector functions of position & time. In a source-free media, such as free space, these electric & magnetic fields satisfy the following partial differential equations, known as Maxwell’s equations:
- 4. 0 0 B D t H E t E H • In Maxwell’s equations, E is the electric field expressed in [V/m], H is the magnetic field expressed in [A/m]. typermeabiliMagnetic:[H/m] typermittiviElectric:[F/m] operationcurlis: operationdivergenceis:
- 5. The solution of Maxwell’s equations in free space, through the wave equation, can be easily obtained for monochromatic electromagnetic wave. All electric & magnetic fields are harmonic functions of time of the same frequency. Electric & magnetic fields are perpendicular to each other & both perpendicular to the direction of propagation, k, known as transverse wave (TEM). E, H & k form a set of orthogonal vectors. Electromagnetic Plane wave in Free Space Ex z Direction of Propagation By z x y k An electromagnetic wave is a travelling wave which has time varying electric and magnetic fields which are perpendicular to each other and the direction of propagation, z.
- 6. Taking curl of Maxwell's equation
- 7. Modes in Planar Guide: