Solve for R in (6.75) and show that your result agrees with equations (6.44) and (6.45). (COMPUTER) Use subroutine RTCOEF (Appendix D) to tabulate the amplitude and phase of reflected and transmitted...

Solve for R in (6.75) and show that your result agrees with equations (6.44) and

(6.45).

(COMPUTER) Use subroutine RTCOEF (Appendix D) to tabulate the amplitude

and phase of reflected and transmitted waves for downgoing P waves incident

on the core–mantle boundary. Use PREM values (Appendix A) for the velocities

and densities across the interface. Plot your results as a function of ray incidence

angle. Note: RTCOEF is for a solid–solid boundary condition and will blow up for

a fluid–solid boundary. To get around this, use a very small, but non-zero, value for

the outer core shear velocity. Ignore the result that you obtain for the transmitted

shear wave; it should contain very little energy.