THE WKB SOLUTION FOR TRANSMISSION THROUGH INHOMOGENEOUS PLANE LAYERS
Abstract
HE WKB (Wentz l, Kramers, Brillouin) asymptotic solution is developed for t e field distribution and the transmission coefficient of inhomogeneous plane layer . Expr io s ar pr se te for lossy and lossless layers for parallel and perpen icular polarization. These WKB formulas are consi erably more co venie t for numerical calculatio s an the exact solution ( here available) or step-by-step numerical integr tio . They provide accurate results if the permittivity gradient is samll in comparison with the permittivity itself, and yield the e act solution for homog ous lay r. G RAP AR INCLUDED TO SHOW THE EXC LLE T AGREE ENT BE WEEN TH WKB SOLUTION N THE EXAC SOLUTION If large permittivity gradients are avoided, the WKB formulas show that the transmission coefficient of an inhomogeneous layer is determined by its initial, final and average values. Any number of different permittivity dis ributions y be used to realize a given set of initial, final an av r ge valu s, but he tra smi io coeffici nt is he same for e ch one. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 15, 1961
- Accession Number
- AD0266311
Entities
People
- Jack Richmond
Organizations
- Ohio State University