Alfred Leung

California State University

Department of Physics and Astronomy

Long Beach, CA 90840-3901

Phone:     (562) 985-4923

Fax:         (562) 985-7924

E-mail:    afleung@csulb.edu

             

2004 AAPT Apparatus Competition, Entry Description

Low Cost Category

 

Apparatus Title:  Observing photoelastic stress without polarizers

 

Abstract

Optically anisotropic plastic looks colorful when placed between two polarizers.  Such colorful display can be demonstrated without polarizers.  In the experiment light is collimated to illuminate a Plexiglas plate at BrewsterÕs angle.  Its reflection passes through a piece of plastic and is incident on another Plexiglas plate at BrewsterÕ angle.  The reflected light from the second plate shows the colorful image of the plastic sample.

 

Equipment and costs required to construct apparatus

 

Item

Source

Part number

Cost

GE 40-W (120 V) light bulb, clear

Home Depot

www.homedepot.com                                                                                                                                                                                                                                                                     

 

   $1.40

Hand-held magnifier: 6.35 cm in diameter , 2x magification

Potomac Display and Manufacturing

www.potomacdisplay.com

5-ML2225

   $3.95

Plexiglas: 18Ó x 24Ó x 0.25Ó for $11.57

(only one fourth was used)

Home Depot

 

 

   $2.89

Whitewood: 1Ó x 4Ó x 12Õ for $2.65

(only one half was used)

Home Depot

 

   $1.33

BC Plywood: 2Õ x 4Õ x 0.5Ó for $10.56

(only half was used)

Home Depot

 

   $5.28

Tempered hardboard: 2Õ x 4Õ x 0.125Ó for $2.69. (only one fourth was used)

Home Depot

 

   $0.67

Total Cost

$15.52

Description 

A 40-W light bulb is mounted inside a homemade wooden box and at a focal length of 16 cm from a magnifier.  Light from the bulb exits the box through a 5-cm hole and illuminates the magnifier.   Collimated by the lens, it then travels horizontally and illuminates a Plexiglas plate with a refractive index of 1.51 at BrewsterÕs angle of 33.5o (see Fig. 1 below).   The back of the plate is painted black to eliminate unwanted reflections.   Light reflected from the front of the Plexiglas plate is polarized.  It then passes through a plastic sample that sits on a horizontal stage.  Light transmitted through the plastic sample is incident on another Plexiglas plate that is mobile on top of the stage.  An observer can align the second Plexiglas plate to show the colorful image of the plastic sample (see Fig. 2 below).   The experiment demonstrates that the colorful photoelastic stress pattern of a piece of plastic can be produced without the use of polarizers.

 

 

Sketches

 

Figure 1.   The Apparatus.  The 40-W light bulb is the middle of the box with the side open.  The black plate shown in the upper left is the second Plexiglas plate.  It sits on a transparent stage.

 

PhotoStacker, (C) Copyright 1992 Ultima Electronics Corp, U.S.A.

 

 

Figure 2.  The image of a circular piece of plastic.  It is the reflection from the second Plexiglas plate that sits on the horizontal stage.