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Pre-fractal multilayer structure for polarization- insensitive temporally and spatially coherent thermal emitter

M. C. Larciprete, A. Belardini, R. Li Voti, and C. Sibilia

Open Access Open Access

Abstract

We investigate electromagnetic wave propagation through one-dimensional stacks arranged as truncated pre-fractal Cantor multilayer. Taking into account materials’ dispersion as well as real absorptive losses, we studied the spectral and spatial emissivity in both on-axis and off-axis direction. The typical cavity mode resonances associated to the pre-fractal structure are exploited to design a polarization-insensitive infrared emitter pertaining both temporal and spatial coherence.

©2013 Optical Society of America

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Figures (8)
Fig. 1
Fig. 1 (a) Calculated spectral emittance for the third generation of Cantor multilayer structures composed by TiO2 and SiO2 alternating layers. SiO2 was chosen as initiator layer (gray layer in the inset). Dashed line represent the blackbody radiation (calculated at 580K) normalized by its value at Wien’s frequency. Inset: Schematic of proposed fractal layered structure (arranged as triadic Cantor set) for thermal emission control.

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Fig. 2
Fig. 2 (a) Directional spectral emittance calculated at 4.5 μm for the third generation of a pre-fractal multilayer composed by SiO2 and TiO2 in TE polarization (blue curve) TM polarization (red curve) and average polarization (black curve). (b) The corresponding field profile inside the structure for both TE (blue curve) and TM polarization (red curve) calculated for an angle of 34.4°, i.e. where the emissivity maximum occurs.

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Fig. 3
Fig. 3 Calculated emissivity as a function of wavelength and incidence angle, for the third generation of a pre-fractal multilayer composed by SiO2 (initiator) and TiO2. (a) TE polarization and (b) TM polarization.

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Fig. 4
Fig. 4 Geometrical dispersion of the pre-fractal multilayer structure shown in Fig. 1, in the ω-kx domain: (a) TE polarization and (b) TM polarization.

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Fig. 5
Fig. 5 Geometrical dispersion of a cavity with a defect composed by TiO2 defect layer sandwiched between two SiO2 and TiO2 mirrors, resulting in a total optical thickness of 27 quarter-wavelength, in the ω-kx domain: (a) TE polarization and (b) TM polarization.

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Fig. 6
Fig. 6 (a) Directional spectral emittance calculated at 4.5 μm for the defect cavity of Fig. 5 in TE polarization (blue curve), TM polarization (red curve) and average polarization (black curve). (b) The corresponding field profile inside the structure for both TE (blue curve) and TM polarization (red curve) calculated for an incidence angle of 32.4°.

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Fig. 7
Fig. 7 Calculated spectral emittance for the three consecutive generations of Cantor multilayer structures composed by TiO2 and SiO2 (initiator) alternating layers.

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Fig. 8
Fig. 8 Angular emissivity for the pre-fractal multilayer of Fig. 1, calculated at 5 μm for TE polarization and for several different substrates (see arrows).

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