Researching | Efficiency balance of a light guide plate with microstructures for a see-through head-mounted display

Journals >Chinese Optics Letters >Volume 14 >Issue 2 >Page 022201 > Article

Chinese Optics Letters
Vol. 14, Issue 2, 022201 (2016)

Efficiency balance of a light guide plate with microstructures for a see-through head-mounted display

Kai-Wei Zhao¹ and Jui-Wen Pan^{2、3、4、*}

Author Affiliations

¹Institute of Lighting and Energy Photonics, National Chiao Tung University, Tainan City 71150, China

²Institute of Photonic System, National Chiao Tung University, Tainan City 71150, China

³Biomedical Electronics Translational Research Center, National Chiao Tung University, Hsin-Chu City 30010, China

⁴Department of Medical Research, Chi Mei Medical Center, Tainan 71004, China

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DOI: 10.3788/COL201614.022201 Cite this Article Set citation alerts

Kai-Wei Zhao, Jui-Wen Pan. Efficiency balance of a light guide plate with microstructures for a see-through head-mounted display[J]. Chinese Optics Letters, 2016, 14(2): 022201 Copy Citation Text

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Abstract

The efficiency balance phenomenon for see-through head-mounted displays with different microstructure conditions can be found both theoretically and using optical simulation software. A simple mathematical calculation is used to determine the relationship between the real image (see-through function) energy and the virtual image energy. The simulation is based on factors taken from previous research studies. It is found that the balance value of the optical efficiency remains almost constant (66.63% to 67.38%) under different microstructure conditions. In addition, suitable conditions for the microstructures in see-through head-mounted displays for daily applications can be predicted.

A_{1}^{'} = A_{1} \times \frac{\sin (α + γ - 90 °)}{\cos α},

(1)

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P_{1} = \frac{A_{1}^{'}}{A}, P_{2} = \frac{A_{2} + A_{3}}{A},

(2)

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E \propto P .

(3)

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D = \frac{l \times w}{(a + b) \times w} = \frac{l}{a + b} .

(4)

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c = \frac{a \times \sin β}{\sin (β + γ)},

(5)

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g = \frac{a \times \sin γ \times \cos β}{\sin (β + γ)} .

(6)

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A_{1} = c \times w \times D,

(7)

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A_{2} = b \times w \times D,

(8)

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A_{3} = g \times w \times D,

(9)

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A = w \times l .

(10)

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P_{1} = P_{2} .

(11)

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P_{1} = P_{2} \Rightarrow \frac{A_{1}^{'}}{A} = \frac{A_{2} + A_{3}}{A} \Rightarrow \frac{c \times w \times D}{w \times l} \times \frac{\sin (α + γ - 90 °)}{\cos (α)} = \frac{b \times w \times D + g \times w \times D}{w \times l} \Rightarrow c \times \frac{\sin (α + γ - 90 °)}{\cos (α)} = b + g \Rightarrow \frac{a \times \sin β}{\sin (β + γ)} \times \frac{\sin (α + γ - 90 °)}{\cos (α)} = b + \frac{a \times \sin γ \times \cos β}{\sin (β + γ)} \Rightarrow a \times \frac{\sin β \times \sin (α + γ - 90 °) - \sin γ \times \cos β \times \cos α}{\sin (β + γ) \times \cos α} = b \Rightarrow a \times [\frac{\tan α \times \sin β \times \sin γ}{\sin (β + γ)} - 1] = b .

(12)

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P_{2} = P_{1} = \frac{A_{1}^{'}}{A} = \frac{c \times w \times D}{w \times l} \times \frac{\sin (α + γ - 90 °)}{\cos α}, = \frac{a \times \sin β}{\sin (β + γ)} \times \frac{1}{a + b} \times \frac{\sin (α + γ - 90 °)}{\cos α}, = \frac{a \times \sin β}{\sin (β + γ)} \times \frac{1}{a \times (\frac{\tan α \times \sin β \times \sin γ}{\sin (β + γ)})} \times \frac{\sin (α + γ - 90 °)}{\cos α}, = \frac{\sin β \times \sin (α + γ - 90 °)}{\tan α \times \sin β \times \sin γ \times \cos α}, = 1 - \cot α \times \cot γ .

(13)

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d = a + b .

(14)

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Visibility = \frac{E_{v}}{E_{r}}

(15)

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Figures&Tables (7)

References (13)

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Kai-Wei Zhao, Jui-Wen Pan. Efficiency balance of a light guide plate with microstructures for a see-through head-mounted display[J]. Chinese Optics Letters, 2016, 14(2): 022201

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