Access to eBooks is limited to institutions that have purchased
or currently subscribe to the SPIE eBooks program. eBooks are not
available via an individual subscription. SPIE books (print and
digital) may be purchased individually on
Contact your librarian to recommend SPIE eBooks for your organization.
Appendix B Vector Calculus in Orthogonal Coordinate Systems
This appendix first provides a graphical development of first-order vector differential operators in conventional Cartesian and cylindrical coordinates. The focus is in the use made of differential elements of length (DLs) and how DLs become the building blocks for the differential elements of area and volume used in the definitions of gradient, curl, and divergence (and, of course, any combination of these operators). Once this concept is established several tables are presented for detailing the salient parameters associated with other orthogonal coordinate systems. Perspective views of coordinate surfaces are then provided to give graphical views of the coordinate systems.
Online access to SPIE eBooks is limited to subscribing institutions.