snell_decomp: Decompose a complex refracted angle
In AlexCast/rho: R Hydrology Optics

Description Usage Arguments Details Value References See Also Examples

The function calculates the angle of constant phase and the angle of constant amplitude for complex refracted angles of eletromagnetic radiation transmitted to a medium.

1	snell_decomp(thetar, nr)

`thetar`	Complex refracted angle (radians).
`nr`	Refractive index of the medium of refraction (unitless).

Refractive index of the medium of refraction may be real or complex. The refracted angle is the angle at constant phase.

A matrix with the constant-phase (theta_kp) and constant-amplitude (theta_ka) angles.

Liu, Y.; Qian, J.; Tian, Y. 2003. Succinct formulas for decomposition of complex refraction angle. IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450), Columbus, OH, pp. 487-490, vol. 3. DOI: 10.1109/APS.2003.1219892

snell, fresnel

# Refraction from average seawater to standard dry air at 550 nm:
refr <- snell(c(0, pi/4, pi/2), ni = complex(real = 1.342033, 
              imaginary = 2.442E-09), nr = 1.000278)
snell_decomp(thetar = refr, nr = 1)