lect_181 - Lecture 18 Exact Only if A and B Commute...

Info iconThis preview shows pages 1–13. Sign up to view the full content.

View Full Document Right Arrow Icon
COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 Computational Ocean Acoustics • Ray Tracing • Wavenumber Integration • Normal Modes • Parabolic Equation
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 Parabolic Equation • Mathematical Derivation (6.2) – Phase Errors and Angular Limitations (6.2.4) • Starting Fields (6.4) – Modal starter – PE Self Starter – Analytical Starters •PE S o
Background image of page 2
COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 r 0 r Refraction Diffraction
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18
Background image of page 4
COMPUTATIONAL OCEAN ACOUSTICS 13.853
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 12
Background image of page 13
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 18 Exact Only if A and B Commute Diffraction Operator COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 Refraction Diffraction COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 ~ More serious Depth Dependence Stronger COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 Convergence Analysis !! COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 D L COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 18 Student Demos Wavenumber Integration Models...
View Full Document

Page1 / 13

lect_181 - Lecture 18 Exact Only if A and B Commute...

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online