Introduction to Matrix Methods in Optics — Worked Solutions
============================================================

This collection accompanies A. Gerrard and J. M. Burch, *Introduction to
Matrix Methods in Optics* (Wiley, 1975).  It covers all 26 numbered
illustrative problems in Chapters II--IV and the extended aperture problem in
Appendix A.  Chapters I and V are retained in the sequence even though they
contain no numbered problem set.

The original prompts are not reproduced.  Read the numbered problem in the
book, then use the corresponding derivation here.  The notation follows the
book's reduced ray vector :math:`(y,V)^T=(y,nv)^T`; matrix chains act on the
rightmost element first.

The :doc:`reference_tables` page recreates the book's four principal summary
tables as accessible Sphinx tables.  Its SVG diagrams are newly drawn for this
documentation and emphasize composition order, stability, polarization flow,
and aperture geometry.

Foundations and paraxial systems
--------------------------------

.. toctree::
   :maxdepth: 1

   ch01_matrix_calculations
   ch02_paraxial_optics
   reference_tables

Resonators, polarization, and crystals
---------------------------------------

.. toctree::
   :maxdepth: 1

   ch03_resonators_and_laser_beams
   ch04_polarization_optics
   ch05_crystal_propagation

Appendix exercise
-----------------

.. toctree::
   :maxdepth: 1

   appendix_a_apertures