application of 1-d fdtd
TRANSCRIPT
APPLICATION OF 1-D FDTD
ASHISH S. PATILME MICROWAVE ROLL NO.14MV009
APPLICATION OF FDTD
Reflection at an Interface
Determination of Propagation Constant
Design of Material Absorber
Exponential Time-Stepping Algorithm in the Lossy Region
Extraction of Frequency Domain Information from the Time Domain Data
Simulation of Lossy , Dispersive Materials
Reflection at an Interface
Electromagnetic device is the reflections suffered by the incident wave.
Important locate these reflections to improve the device design.
Determine the reflection coefficient at the interface of two media ?
STEP 1: Consider the discretized medium :- first few layers in the free space (εr = 1) and the rest in a medium characterized by ε0 , εr and μ0 STEP 2: Let TEM wave incident on interface with electric field tangential to it
STEP 3: Reflection coefficient due to impedance mismatch
STEP 4 :The transmission coefficient is given as
1 D FDTD equation modified to include the effect of dielectric loading
simulation results for n = 400
centered at about 160∆x
Simulation results for n = 700
Reflected pulse centered 190 ∆ x
Transmitted pulse peaking near 275 ∆ x.
Determination of Propagation Constant
1 D FDTD equation modified to include the effect of conductor loss to calculate attenuation constant along with phase constant
The amplitude of the standing wave depends on the phase relationship between the two waves and therefore on n.
To calculate attenuation constant
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