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MathPath Optics Batwing Distribution for General Illumination MathPath Optics-Philip Premysler General Illumination (Down Lighting or Up Lighting)
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MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Jul 17, 2020

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Page 1: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

MathPath Optics

Batwing Distribution for

General Illumination

MathPath Optics-Philip Premysler

General Illumination

(Down Lighting or Up Lighting)

Page 2: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

BATWING ILLUMINATION PATTERN

� Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for down lighting.

� In the past this was achieved at considerable � In the past this was achieved at considerable expense to optical luminaire efficiency-currently unacceptable due to increased energy usage concerns.

MathPath Optics-Philip Premysler

Page 3: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

The Design of Lighting, book

by Peter Tregenza et al� Quote :

� “In general office, ceiling-mounted luminaires need to have a low downward light output but a substantial sideways intensity…” (The but a substantial sideways intensity…” (The Batwing Distribution)

MathPath Optics-Philip Premysler

Page 4: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Tregenza’s Depiction of Batwing

Light Distribution

MathPath Optics-Philip Premysler

Page 5: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

“Applied Illumination Engineering”

book by Jack L. Lindsey

� Discussing Fluorescent Lenses:

“Other lenses are available that offer high quality light with widely spread radial batwing distribution as shown by Curve D.”batwing distribution as shown by Curve D.”

MathPath Optics-Philip Premysler

Page 6: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Batwing for Discharge Lamps

and Fluorescent lamps� Taltavull (1976) Patent 3,978,332

Taltavull Fixture20 is Diffuser

Taltavull DiffuserSurface 18 opaque white

MathPath Optics-Philip Premysler

Page 7: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Taltavull Patent Continued

� “Summing up, in a vertical cross plan of a luminaire with fluorescent lamps or with a discharge bulb, it is desired to have a minimum light distribution under 30˚, a maximum light distribution between 40 ˚ and minimum light distribution under 30˚, a maximum light distribution between 40 ˚ and 50 ˚, and a minimum over 60 ˚, because over 60 ˚ discomfort glare takes place, and under 30 ˚ veiling reflection takes place. This type of distribution is known as ‘batwing distribution’ ”

MathPath Optics-Philip Premysler

Page 8: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Taltavull Design Performance

� States that he obtained efficiency near 70%

� Taltavull Batwing:

Critiques:Critiques:� Function is too fast—Ratio of intensities at0˚ to 45 ˚ is 4:1, should be 2.8:1 for uniform illumination.Drop off from peak takes 20˚--glare control could be improved.

MathPath Optics-Philip Premysler

Page 9: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Batwing for monchromatic

sources e.g., LEDs� Dey et al (1979) Patent No. 4,161,015

� Quote:

“When the luminaire illuminates a room, the industry has found the most preferred industry has found the most preferred distribution to be in the form of what is known in the art as a ‘batwing’”

MathPath Optics-Philip Premysler

Page 10: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Dey et al. Patent Continued� Multilayer Interference filter in aperture of

reflector-expensive.

� Recycles light through diffuse reflector�lowered efficiency.

MathPath Optics-Philip Premysler

Page 11: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Dey et al. Patent Continued

� Dey et al. Batwing:

MathPath Optics-Philip Premysler

Page 12: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Common to both older

approaches to batwing:� Reflect certain portion of light reaching

aperture back into reflector. Some of retro-reflected light will be absorbed leading to decreased ‘optical luminaire efficieny’ = ‘Light decreased ‘optical luminaire efficieny’ = ‘Light Output Ratio’

MathPath Optics-Philip Premysler

Page 13: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

What would be the “IDEAL”

Batwing distribution ?� In addition to the criteria discussed above,

it provides UNIFORM illumination on plane

surfaces, the generally accepted goal for general illumination.general illumination.

� What is it exactly:

Cos-3(φ) (This can be proved simply as a corollary to the “cosine cubed law” that relates illuminance to luminous intensity”)

MathPath Optics-Philip Premysler

Page 14: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

1/Cosine Cubed Distribution

It expresses the relation between the differential area of an annulus on a planeand a differential solid angle both described by a differential of polar angle.

MathPath Optics-Philip Premysler

Page 15: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

1/Cosine Cubed Distribution

� Polar Style Plot:

φ

MathPath Optics-Philip Premysler

Page 16: MathPath Optics - Energy Star · 2012-11-12 · BATWING ILLUMINATION PATTERN Expert Consensus is that the “Batwing” (aka Trouser Leg) distribution is the ideal distribution for

Contact Info:

Proprietary-Confidential-Patent Pending Philip Premysler 16

Contact Info:

Philip Premysler

MathPath Optics

2820 Ocean Pkwy, 16E

Brooklyn, NY

Tel. : (561) 271-2178

eMail: [email protected]