Difference between revisions of "User:Tohline/Appendix/CGH/ParallelApertures"

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=CGH:  Appertures that are Parallel to the Image Screen=
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This chapter is intended primarily to replicate &sect;I.A from the online class notes &#8212; see the original [http://www.phys.lsu.edu/faculty/tohline/phys4412/howto/ Table of Contents] and an associated [[User:Tohline/Appendix/CGH/Preface|Preface]] &#8212; that I developed in conjunction with a course that I taught in 1999 on the topic of ''Computer Generated Holography (CGH)'' for a subset of LSU physics majors who were interested in computational science.
This chapter is intended primarily to replicate [http://www.phys.lsu.edu/faculty/tohline/phys4412/howto/slit1d.html &sect;I.A from the online class notes] &#8212; see also an associated [[User:Tohline/Appendix/CGH/Preface|Preface]] and the original [http://www.phys.lsu.edu/faculty/tohline/phys4412/howto/ Table of Contents] &#8212; that I developed in conjunction with a course that I taught in 1999 on the topic of ''Computer Generated Holography (CGH)'' for a subset of LSU physics majors who were interested in computational science.


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==One-Dimensional Aperture==
==One-Dimensional Aperture==
===General Concept===
===General Concept===
Consider the amplitude (and phase) of light that is incident at a location <math>~y_1</math> on an image screen that is located a distance <math>~Z</math> from a slit of width <math>~w</math>.
Consider the amplitude (and phase) of light that is incident at a location <math>~y_1</math> on an image screen that is located a distance <math>~Z</math> from a slit of width <math>~w</math>.  First, as illustrated in Figure 1, consider the contribution due only to two rays of light:&nbsp; one coming from location <math>~Y_1</math> at the top edge of the slit (a distance <math>~D_1</math> from point <math>~y_1</math> on the screen) and another coming from location <math>~Y_2</math> at the bottom edge of the slit (a distance <math>~D_2</math> from the same point on the screen).
 
<table border="1" cellpadding="5" align="center">
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  <th align="center">Figure 1</th>
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  <td align="center" bgcolor="lightgreen">[[File:Aperture3.gif|Chapter1Fig1]]</td>
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=See Also=
=See Also=

Revision as of 20:31, 9 November 2017

CGH: Appertures that are Parallel to the Image Screen

This chapter is intended primarily to replicate §I.A from the online class notes — see also an associated Preface and the original Table of Contents — that I developed in conjunction with a course that I taught in 1999 on the topic of Computer Generated Holography (CGH) for a subset of LSU physics majors who were interested in computational science.

Whitworth's (1981) Isothermal Free-Energy Surface
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One-Dimensional Aperture

General Concept

Consider the amplitude (and phase) of light that is incident at a location <math>~y_1</math> on an image screen that is located a distance <math>~Z</math> from a slit of width <math>~w</math>. First, as illustrated in Figure 1, consider the contribution due only to two rays of light:  one coming from location <math>~Y_1</math> at the top edge of the slit (a distance <math>~D_1</math> from point <math>~y_1</math> on the screen) and another coming from location <math>~Y_2</math> at the bottom edge of the slit (a distance <math>~D_2</math> from the same point on the screen).

Figure 1
Chapter1Fig1

See Also

  • Tohline, J. E., (2008) Computing in Science & Engineering, vol. 10, no. 4, pp. 84-85 — Where is My Digital Holographic Display? [ PDF ]


Whitworth's (1981) Isothermal Free-Energy Surface

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