The Nautilus Space Observatory concept proposes to replace the primary mirrors of large space telescopes with 8.5 m diameter multi-order diffractive engineered (MODE) lenses — hybrid refractive/diffractive transmissive optics whose thickness is nearly independent of aperture diameter, giving roughly 10 times lower areal density than comparable mirror primaries and about 100 times reduced sensitivity to misalignment. If such lenses can be replicated cheaply by glass molding, an array of ~35 identical unit telescopes could collect light equivalent to a 50 m aperture and obtain transit spectra of about one thousand Earth-sized habitable-zone planets. The open problem is whether MODE lens technology, demonstrated to date only on sub-meter laboratory prototypes, can be fabricated, segmented, assembled, and validated at the ~8.5 m mission scale while retaining these enabling mass and tolerance properties and demonstrating optical, thermal, and mechanical stability suitable for space. Published progress through 2023 covers design theory, sub-meter prototype optics, precision glass molding, a laboratory-scale segmented-lens alignment system, and a production cost model — but no multi-meter MODE lens, no full-aperture segmentation and tolerance scheme, and no on-sky validation exists, so the scale-up core remains open.
Background
A central goal of modern astrophysics is to determine how common and how diverse potentially habitable planets are, and whether any show atmospheric biosignatures — combinations of gases (such as oxygen together with methane) whose simultaneous presence is difficult to explain without biology. The main observational technique for characterizing small exoplanet atmospheres is transit spectroscopy: measuring the tiny wavelength-dependent dip in starlight as a planet crosses its host star, so that the starlight filtering through the planet atmosphere imprints its spectral signature. Existing and planned facilities (JWST and the mirror-based concepts studied for the 2020 US Decadal Survey) can obtain such spectra for at most a few dozen Earth-sized planets, a sample too small to characterize the diversity of terrestrial atmospheres or to establish the occurrence rate of biosignatures. Apai, Milster, Kim and colleagues argued in 2019 that a statistically meaningful survey of ~1000 candidate exo-earths would require a visible/near-infrared collecting area far larger than any feasible segmented-mirror space telescope, and proposed the Nautilus Space Observatory: an array of ~35 identical, independently pointed 8.5 m unit telescopes whose images are combined non-coherently (by digital addition of intensity), avoiding precision formation flying and interferometric phasing. Each unit telescope uses as its light-collecting element a MODE lens — a multi-order diffractive engineered surface lens. This is a transmissive optic combining a multi-order diffractive surface (a sawtooth-like phase profile whose depth is an integer M wavelengths deep, which makes the chromatic focal-length shift repeat periodically across the band) with a diffractive Fresnel surface, so that the dispersive (refractive) and anti-dispersive (diffractive) chromatic aberrations balance. Unlike a conventional refractive lens, whose thickness must grow with aperture to limit aberrations, a MODE lens maintains near diffraction-limited imaging (a point source is concentrated to an image whose size is set only by the wave nature of light, commonly quantified by the Strehl ratio — the peak image intensity relative to the ideal; values above ~0.8 are conventionally called diffraction-limited) over a fractional bandwidth of roughly 20% with thickness essentially independent of diameter. The claimed enabling properties, quantified in Apai et al. (2019), are: areal density (mass per collecting area) about 10 times lower than the mirror primaries of current space telescopes; sensitivity to misalignment and figure errors about 100 times lower than for mirrors (a tilted refractive element deviates the chief ray much less than a tilted mirror); and, because the surface relief is molded into glass, near-costless replication of identical units. The Nautilus unit design targets an ~0.45–1.6 µm spectroscopic band at resolving power R ~ 200 and relies on packing many unit telescopes into next-generation launch fairings (SpaceX BFR/Starship or NASA SLS), so the concept also depends on launcher availability that was unproven when the source paper was written. The enabling technology had, at the time of the source paper (Apai et al., ASCEND 2020), been demonstrated only in small prototypes: MODE lens theory and diffraction-limited R-band (589–727 nm, a ~20% fractional bandwidth) performance were shown for lenses of tens of millimeters aperture (Milster et al. 2020), a 0.24 m prototype MODE telescope design existed and an on-sky test of it was planned, and precision glass molding of diffractive surfaces had been demonstrated at sub-meter scale with nanometer-level surface roughness and sub-micron profile fidelity (Zhang et al. 2020), while the joining of molded segments had been pursued via UV-cured adhesive bonding (Choi et al. 2020). Whether any of this can be carried to an 8.5 m aperture — where the lens must be built from segments, aligned, and qualified for the space environment — was explicitly left open, and is the unresolved question.
Problem Statement
Determine whether a multi-order diffractive engineered (MODE) lens can be fabricated, segmented, assembled, and performance-validated at the ~8.5 m mission aperture required for the Nautilus Space Observatory, while retaining the properties that make the concept viable. Concretely, the unresolved question comprises: (1) a segmentation and assembly methodology for a multi-meter MODE lens — including the segment geometry and count, the alignment (and, where required, co-phasing) tolerances, and a fabrication process — that can hold surface figure and diffractive profile fidelity at the scale of meters; (2) verification that the as-built optic delivers diffraction-limited imaging over a scientifically useful band (extending, or justifying an extension of, the ~20% fractional bandwidth demonstrated on small prototypes, toward the ~0.45–1.6 µm range targeted for Nautilus transit spectroscopy); (3) confirmation that the enabling mass and tolerance advantages survive scale-up — areal density ~10 times below comparable mirror primaries, ~100 times reduced sensitivity to misalignment, and thickness essentially independent of aperture diameter — together with an assessment of how fabrication tolerances degrade performance; and (4) demonstration that the resulting large thin lens maintains optical, thermal, and mechanical stability in a space-relevant environment (including launch loads and on-orbit thermal gradients), for which the planned on-sky test of a 0.24 m MODE telescope and any larger ground or flight validation remain outstanding. Because no multi-meter MODE lens has been built, an answer is not required to include a physically fabricated 8.5 m optic, and either a positive or a negative verdict resolves the question. Programmatic dependencies (launch-vehicle availability, mission selection and funding) are external conditions of the Nautilus mission, not part of this technical question; the scientific yield of a biosignature survey is a separate downstream question.
References
- D. Apai, T. Milster, D. W. Kim, A. Bixel, G. Schneider, R. Liang, J. Arenberg, 'A Thousand Earths: A Very Large Aperture, Ultralight Space Telescope Array for Atmospheric Biosignature Surveys', The Astronomical Journal 158, 83 (2019). DOI: 10.3847/1538-3881/ab2631, https://doi.org/10.3847/1538-3881/ab2631
- D. Apai, T. Milster, D. W. Kim, G. Schneider, A. Bixel, B. Rackham, J. Arenberg, 'Very Large-diameter, Ultralight Space Telescopes to Enable Large-scale Survey of Candidate Earth-like Planets for Signatures of Life', ASCEND 2020 (AIAA). DOI: 10.2514/6.2020-4022, https://doi.org/10.2514/6.2020-4022
- D. Apai, T. Milster, D. W. Kim, A. Bixel, G. Schneider, R. Liang, J. Arenberg, 'Nautilus Observatory: a space telescope array based on very large aperture ultralight diffractive optical elements', Proc. SPIE 11116, 1111608 (2019). DOI: 10.1117/12.2529428, https://doi.org/10.1117/12.2529428
- T. Milster, Y. S. Kim, Z. Wang, K. Purvin, 'Multiple-order diffractive engineered surface lenses', Applied Optics 59, 7900–7906 (2020). DOI: 10.1364/AO.394124, https://doi.org/10.1364/AO.394124
- T. Milster, Z. Wang, Y. Kim, 'Design aspects of large-aperture MODE lenses', OSA Continuum 4, 171–187 (2021). DOI: 10.1364/OSAC.410187, https://doi.org/10.1364/OSAC.410187
- Y. Zhang, R. Liang, O. Spires, S. Yin, A. Yi, T. Milster, 'Precision glass molding of diffractive optical elements with high surface quality', Optics Letters 45, 6438–6441 (2020). DOI: 10.1364/OL.406195, https://doi.org/10.1364/OL.406195
- D. W. Kim, C. K. Walker, D. Apai, T. D. Milster, Y. Takashima, G. Schneider, R. Liang, Y. Kim, C. Fellows, Y. Zhang, A. Gasper, I. S. Smith, D. Crowe, A. Bixel, S. O'Dougherty, S. Sirsi, A. Chandra, A. Phan, Z. Wang, K. Purvin, H. Quach, M. Esparza, J. Berkson, O. Spires, H. Choi, G. H. Kim, J. Arenberg, 'Disruptive space telescope concepts, designs, and developments: OASIS and Nautilus (INVITED)', EPJ Web of Conferences 238, 06001 (2020). DOI: 10.1051/epjconf/202023806001, https://doi.org/10.1051/epjconf/202023806001
- Z. Wang, Y. Kim, T. Milster, 'Design of multi-order diffractive lens telescope for broadband application', Proc. SPIE 11852, 2603642 (2021). DOI: 10.1117/12.2603642, https://doi.org/10.1117/12.2603642
- H. Choi, M. Esparza, A. Lamdan, Y. Feng, T. Milster, D. Apai, D. W. Kim, 'In-process metrology for segmented optics UV curing control', Proc. SPIE 11487, 2569310 (2020). DOI: 10.1117/12.2569310, https://doi.org/10.1117/12.2569310
- M. Esparza, H. Choi, D. W. Kim, 'Alignment of Multi-Order Diffractive Engineered (MODE) lens segments using the Kinematically-Engaged Yoke System', Proc. SPIE 11487, 2569442 (2020). DOI: 10.1117/12.2569442, https://doi.org/10.1117/12.2569442
- D. Apai, T. Milster, D. W. Kim, Y. Kim, G. Schneider, B. Rackham, J. Arenberg, H. Choi, M. Esparza, Z. Wang, Y. Zhang, A. Bixel, 'Nautilus Space Observatory: a very large aperture space telescope constellation enabled by scalable optical manufacturing technologies', Proc. SPIE 12219, 2633184 (2022). DOI: 10.1117/12.2633184, https://doi.org/10.1117/12.2633184
- N. Brar, Y. Zhang, Y. Kim, A. Yi, Y. Cai, G. Kim, T. Milster, 'Precision glass molding technology for the MODE lens telescope', Proc. SPIE 12219, 2633573 (2022). DOI: 10.1117/12.2633573, https://doi.org/10.1117/12.2633573
- M. Esparza, R. Luu, H. Choi, T. Milster, D. Apai, D. W. Kim, 'Progress towards alignment of Multi-Order Diffractive Engineered (MODE) lens segments using the Kinematically-Engaged Yoke System (KEYS) for optical performance testing', Proc. SPIE 12219, 2633685 (2022). DOI: 10.1117/12.2633685, https://doi.org/10.1117/12.2633685
- H. Choi, M. Esparza, R. Luu, T. Milster, D. Apai, D. W. Kim, 'Autonomous closed-loop control for multi-segmented optic aligning and assembly', Proc. SPIE 12219, 2633760 (2022). DOI: 10.1117/12.2633760, https://doi.org/10.1117/12.2633760
- M. Dupuis, T. Holzer, J. Arenberg, 'Planning and optimizing multiple-order diffractive engineered surface lens production via integrated cost, schedule, and risk modeling', Journal of Astronomical Telescopes, Instruments, and Systems 8, 027001 (2022). DOI: 10.1117/1.JATIS.8.2.027001, https://doi.org/10.1117/1.JATIS.8.2.027001
- D. W. Kim, T. Milster, D. Apai, 'Nautilus: The advent of large lens-based space telescopes', EPJ Web of Conferences 266, 03014 (2022). DOI: 10.1051/epjconf/202226603014, https://doi.org/10.1051/epjconf/202226603014
- M. Esparza, H. Choi, N. Brar, Z. Wang, Y. Kim, C. Fellows, M. Bog, G. Kim, A. Yi, T. Milster, D. Apai, D. W. Kim, 'Kinematically engaged yoke system for segmented lens-based space telescope integration and testing', Journal of the European Optical Society-Rapid Publications 19, 19 (2023). DOI: 10.1051/jeos/2023016, https://doi.org/10.1051/jeos/2023016
- N. Ivliev, V. Evdokimova, V. Podlipnov, M. Petrov, S. Ganchevskaya, I. Tkachenko, D. Abrameshin, Y. Yuzifovich, A. Nikonorov, R. Skidanov, N. Kazanskiy, V. Soifer, 'First Earth-Imaging CubeSat with Harmonic Diffractive Lens', Remote Sensing 14, 2230 (2022). DOI: 10.3390/rs14092230, https://doi.org/10.3390/rs14092230
- Y. Song, Y. Liu, H. Ma, G. Ren, 'Error analysis and compensation of a segmented flat diffractive telescope', Optics and Lasers in Engineering 186, 108757 (2025). DOI: 10.1016/j.optlaseng.2024.108757, https://doi.org/10.1016/j.optlaseng.2024.108757