Cooper Lighting Vision Flood manual O O D L I G H T I N G F U N D a M E N T a L S

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F L O O D L I G H T I N G F U N D A M E N T A L S

- Inverse Square Cosine Law

Footcandle levels are ultimately dependent upon the projected distance, aiming angle, and luminous intensity of a lamp/reflector combination. A cursory understanding of the equation which relates these variables provides insights to proper design technique and distribution selection.

I N V E R S E S Q U A R E C O S I N E L A W

E=I cos (x)/D2 -or-

Illuminance (Footcandles, fc) = Luminous Intensity (Candelas, Cd) * cos (incident angle X) / Distance2

Holding other variables constant, as the projected distance increases from the luminaire to the surface being illuminated, a greater amount of luminous intensity (I, Candela) is required to sustain an equal illuminance (E, Footcandle) level.

I= E D2

COS (x)

5fc (10')2

°= 577 candela

COS (30 )

 

 

 

I=

E D2

 

 

 

COS (x)

 

 

E=5 fc

5 fc (20')2

 

X=30°

 

= 2,310 candela

 

 

COS (30°)

cd

 

 

 

 

7

 

 

 

 

57

 

 

 

 

I=

 

 

 

 

30°

 

 

 

30°

 

 

 

 

 

 

'

 

 

 

0

 

 

1

 

 

 

=

 

 

 

 

D

 

 

 

 

E=5 fc

X=30°

cd I=2,310

 

 

'

 

0

2

 

=

 

 

D

 

 

Holding incident angle X constant at 30˚ while increasing the projected distance D from 10' to 20' requires an increase in candela from 577 to 2310 respectively to sustain an equal 5 footcandles (fc) of illumination at the target point.

The incident angle as measured from a luminaire’s directed intensity to the target surface normal also plays a significant role in determining illuminance values. Holding other variables constant as the incident angle from the target surface to the projected aiming line increases, so does the amount of luminous intensity (I, Candela) required to sustain an equal illuminance value.

I= E D2

COS (x)

5fc (10')2

°= 577 candela

COS (30 )

E=5 fc

X=30°

cd 577 I=

30°

 

 

'

 

0

1

 

=

 

 

D

 

 

I=

E D2

COS (x)

5fc (10')2

°= 707 candela

COS (45 )

E=fc

X=45°

I=707

cd

 

 

 

 

 

'

 

 

0

 

1

45°

=

 

D

 

Holding projected distance D constant at 10' while increasing incident angle X from 30˚ to 45˚ requires an increase in candela from 577 to 707 respectively to sustain an equal 5 footcandles (fc) of illumination at the target point.

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V I S I O N F L O O D A r c h i t e c t u r a l F l o o d L u m i n a i r e

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Contents Page S I O N F L O O D U E N T F O R MC E P T I O N a L D E S I G N T I C a L F L E X I B I L I T YPage Inverse Square Cosine Law O O D L I G H T I N G F U N D a M E N T a L SV E R S E S Q U a R E C O S I N E L a W O O D L I G H T I N G T E R M I N O L O G Y Floodlighting Terminology Nema IES ClassificationsO O D L I G H T I N G T E R M I N O L O G Y A M P L ET E R N a L L O U V E R S T E R N a L G R I D L O U V E R SP V I S O R I D E D S H I E L DR N D O O R S C T a N G U L a R B E a M P a T T E R N SS I G N G U I D E Illumination Recommendations Beam Pattern InformationL U M I N a T I O N R E C O M M E N D a T I O N S A M P a T T E R N I N F O R M a T I O NL O R C a P a B I L I T I E S L O R C a P a B I L I T I E SPage Page T I C a L C O N F I G U R a T I O N S R R O W S P O T N SR R O W F L O O D N F D I U M F L O O D M FD E F L O O D W F R T I C a L F L O O D V FE M I U M M a T E R I a L S E M I U M M a T E R I a L A N D a R D M a T E R I a LIP Rating X T U R E S E a L I N GR a T I N G M P S O U R C E O P T I O N S Metal Halide Pulse Start Metal Halide High Pressure SodiumM P O P T I O N S L S E S T a R T M E T a L H a L I D EPage Page O D U C T Specification S Features + BenefitsN I S H M E N S I O N SS M O U N T I N G O P T I O N S + Specification S Specifications + Dimensions VFS Standard MountS V F M M O U N T I N G O P T I O N S + Specification S Specifications + Dimensions Slipfitter MountT I O N S + a C C E S S O R I E S Specification S Specifications + DimensionsD E R I N G I N F O R M a T I O N VoltageInvue Canada

Vision Flood specifications

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