Electromagnetic plane-wave pulse transmission into a Lorentz half-space

Area of Science:

• Electromagnetism
• Wave Propagation
• Materials Science

Background:

• Understanding electromagnetic wave interaction with materials is crucial.
• Lorentz half-spaces exhibit unique dielectric properties.
• Analytical solutions for wave propagation are often complex.

Purpose of the Study:

• To analytically investigate electromagnetic plane-wave propagation.
• To study wave incidence on a Lorentz half-space.
• To derive accurate time-domain expressions for transmitted fields.

Main Methods:

• Utilized uniform saddle point methods.
• Applied Fourier-Laplace integral transforms.
• Derived time-domain asymptotic expressions.
• Compared results with numerical calculations.

Main Results:

• Developed accurate asymptotic expressions for transmitted fields.
• Demonstrated continuity of results in time.
• Obtained agreement between analytical and numerical results.
• Provided arrival times and refraction angles for pulse features and steady-state signals.

Conclusions:

• The uniform saddle point method provides accurate analytical solutions.
• The derived expressions are valid for transient and steady-state signals.
• This work enhances the understanding of wave propagation in Lorentz media.