{"id":154372,"date":"2024-05-03T09:30:27","date_gmt":"2024-05-03T13:30:27","guid":{"rendered":"https:\/\/www.hajim.rochester.edu\/senior-design-day\/?p=154372"},"modified":"2025-05-02T15:21:38","modified_gmt":"2025-05-02T19:21:38","slug":"reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering","status":"publish","type":"post","link":"https:\/\/www.hajim.rochester.edu\/senior-design-day\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\/","title":{"rendered":"Reconfigurable Metasurfaces For Compact, Nontrivial Angular Filtering"},"content":{"rendered":"\n

Author<\/h2>\n\n\n\n

Nicholas Gaitanis<\/a><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Mentor<\/h2>\n\n\n\n

Dr. Michele Cotrufo<\/p>\n\n\n\n

Abstract<\/h2>\n\n\n\n

Recent works have shown that angular filters \u2014 based on distributed Bragg reflectors \u2014 can be utilized in holographic head-mounted displays to remove DC and higher order noise produced from a spatial light modulator [1]. These devices perform Fourier filtering by directly filtering plane waves with respect to their angle of propagation. However, the thickness of these devices are still several wavelengths of light. In this thesis, we will improve upon these constraints using electromagnetic metamaterials, which are artificial materials composed of subwavelength atoms (meta-atoms). In the second part of this thesis, we will experimentally categorize the temperature-dependent response of VO2<\/sub>, which undergoes an insulator-to-metal transition. By integrating phase changing materials into metasurfaces, optical responses can be dynamically reconfigured.<\/p>\n\n\n

\n
\"\"
(Top) Traditional 4 \u2013 f design required for holographic filtering. A spatial stop filter is placed at the common focus of two lenses. (Lower Left) Fourier filtering design <\/strong>that utilizes a metasurface with an angularly dependent transmission spectrum. (Lower Right) Target angularly dependent transmission spectrum as achieved for holography.<\/em><\/figcaption><\/figure>\n<\/div>\n\n\n

Methods<\/h2>\n\n\n\n

Simulation<\/strong><\/h3>\n\n\n\n

Simulations are performed using RETICOLO 9.0<\/a>, a freely available library for MATLAB that solves the Maxwell equations for periodic structures. Design inspiration is a nonlocal metasurface proposed for quantitative phase contrast imaging [2].<\/p>\n\n\n\n

VO2<\/sub> Transmission Measurements<\/strong><\/h3>\n\n\n\n

Temperature-dependent transmission measurements of a thin VO2<\/sub> film will be recorded and compared to current literature. The sample is placed on a heating element whose current is adjusted. Temperature readings are performed by a small temperature detector attached to the VO2<\/sub> layer. The incidence angle of the light upon the VO2<\/sub> can be varied (see angle \u03b8 in the drawing below).<\/p>\n\n\n

\n
\"\"
Setup used to perform temperature-dependent transmission measurements of VO2<\/sub><\/em><\/figcaption><\/figure>\n<\/div>\n\n\n

Simulation Results<\/h2>\n\n\n\n

Our goal is to achieve a transmission profile with a sharp angular response at normal incidence and a reduction of the profile over larger angular ranges. By layering a device that has a local response in k-space with a device that has a nonlocal response in k-space, we may construct a larger metasurface that meets both conditions. It is important to note that the transfer function of the larger device is not, in general, given by the product of the individual transfer functions. Thus, cascading the two devices does not automatically guarantee the desired operation, and further fine-tuning of the geometry is typically required.<\/p>\n\n\n

\n
\"\"
Schematic of the full design. The full period is a common multiple of the periods of the constituent gratings. Crystalline silicon is utilized for lower loss over the visible wavelength range.<\/em><\/figcaption><\/figure>\n<\/div>\n\n
\n
\"\"
Cross-sectional transmission profile of the full metasurface<\/em>. The transmission of the zeroth diffraction order, first diffraction order, and the sum of all diffraction orders is shown in blue, orange, and black respectively. <\/figcaption><\/figure>\n<\/div>\n\n
\n
\"\"<\/figure>\n<\/div>\n\n
\n
\"\"
The dispersion curves of the nonlocal grating, the local grating, and the full design. Results correspond to the zeroth diffraction order only. The bottom left depicts the element-wise multiplication of the local and nonlocal response. This operation is not identical to the full wave simulation depicted in the bottom right. The superstrate is an infinitely extended silica layer. All other simulations are incident to air.<\/em><\/figcaption><\/figure>\n<\/div>\n\n\n

VO2<\/sub> Transmission Measurements<\/h2>\n\n\n\n

A 35-nm-thick film of VO2<\/sub> on quartz was illuminated at normal incidence from the VO2<\/sub> side. Our 1550 nm source consisted of a Leukos Rock 400<\/a> plugged into a Photon Etc. LLTF Contrast Supercontinuum Tunable Filter<\/a>. The source was focused on the sample using a 4 \u2013 f<\/em> configuration. To record the transmission of the VO2<\/sub>, photodiodes were used. By first removing the sample, a baseline power reading for the light was measured at Detector 2. Averaging this power reading represents the 100% transmission state of the VO2<\/sub> film when it is placed in front of the laser source. The optical power leaving the VO2<\/sub> is divided by the baseline measurement without the VO2<\/sub>.<\/p>\n\n\n

\n
\"\"
Verification of the phase transition of VO2<\/sub>. Experimental transmission measurements are indicated by circles and simulation results are solid lines. The complex index of refraction was retrieved from \u201cContinuously tunable optical modulation using vanadium dioxide Huygens metasurfaces\u201d by Oguntoye et al.\u00a0[3]. Simulations were performed in Reticolo with a 35 nm film of VO2 on top of an infinitely extended layer of quartz (n = 1.445). The difference between the measured and simulated transmission in the hot state may be due to the true thickness of the VO2<\/sub> being greater than the nominal thickness.<\/em><\/figcaption><\/figure>\n<\/div>\n\n
\n
\"\"
Temperature-dependent transmission measurements for a thin film of VO\u00ad2<\/sub> on quartz at 1550 nm.<\/em><\/figcaption><\/figure>\n<\/div>\n\n\n

Conclusion<\/h2>\n\n\n\n

The next step is to introduce VO2<\/sub> to the static design. By incorporating phase changing materials into metasurface designs, we can achieve separate responses for the cold and hot states of the device. Since the characteristics of VO2<\/sub> in the cold state are similar to that of silica, a thin layer of VO2<\/sub> could be inserted between the two gratings. This requires that the design be scaled to a larger geometry to operate at infrared wavelengths. We have shown that metasurfaces applied to image processing tasks can benefit from cascading local and nonlocal gratings. While we are not guaranteed that the global transfer function is the element-wise product of the individual designs, an advantage of this approach is that each component can be optimized individually.<\/p>\n\n\n\n

Acknowledgments<\/h2>\n\n\n\n

I would like to express gratitude to my advisor, Dr. Michele Cotrufo, for his incredible mentorship and guidance throughout this research project. In addition, I would like to thank Dr. Adam Purtee for providing me with gradient-descent-based principles that I utilized in this design. Finally, thanks to Dr. Wayne Knox for organizing the senior thesis capstone.<\/p>\n\n\n\n

References<\/h2>\n\n\n\n[1] K. Bang and C. L. B. Jang, “Compact noise-filtering volume gratings for holographic displays,” Optics Letters, vol. 44, no. 9, p. 2133, 2019.<\/p>\n\n\n\n[2] A. Ji, J.-H. Song, Q. Li, F. Xu, C.-T. Tsai, R. C. Tiberio, B. Cui and e. al., “Quantitative phase contrast imaging with a nonlocal angle-selective metasurface,” Nature Communications, vol. 13(1), p. 7848, 2022.<\/p>\n\n\n\n[3] I. Oguntoye, S. Padmanabha, M. Hinkle, T. Koutsougeras, A. J. Ollanik and M. D. Escarra, “Continuously tunable optical modulation using vanadium dioxide Huygens metasurfaces,” ACS Appl. Mater. Interfaces, <\/em>vol. 15, pp. 41141-41150, 2023.<\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Author Nicholas Gaitanis Mentor Dr. Michele Cotrufo Abstract Recent works have shown that angular filters \u2014 based on distributed Bragg reflectors \u2014 can be utilized in holographic head-mounted displays to…<\/p>\n","protected":false},"author":6242,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[4442,136],"tags":[],"coauthors":[8612],"class_list":["post-154372","post","type-post","status-publish","format-standard","hentry","category-archive","category-opt-ope-archive"],"acf":[],"yoast_head":"\nReconfigurable Metasurfaces For Compact, Nontrivial Angular Filtering - Senior Design Day<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.hajim.rochester.edu\/senior-design-day\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Reconfigurable Metasurfaces For Compact, Nontrivial Angular Filtering - Senior Design Day\" \/>\n<meta property=\"og:description\" content=\"Author Nicholas Gaitanis Mentor Dr. Michele Cotrufo Abstract Recent works have shown that angular filters \u2014 based on distributed Bragg reflectors \u2014 can be utilized in holographic head-mounted displays to…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.hajim.rochester.edu\/senior-design-day\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\/\" \/>\n<meta property=\"og:site_name\" content=\"Senior Design Day\" \/>\n<meta property=\"article:published_time\" content=\"2024-05-03T13:30:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-02T19:21:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.hajim.rochester.edu\/senior-design-day\/wp-content\/uploads\/2024\/05\/Professional-Photo-1200x630.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\\\/\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/#\\\/schema\\\/person\\\/351018fbcf84ed8cac6d8072ba5b347c\"},\"headline\":\"Reconfigurable Metasurfaces For Compact, Nontrivial Angular Filtering\",\"datePublished\":\"2024-05-03T13:30:27+00:00\",\"dateModified\":\"2025-05-02T19:21:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\\\/\"},\"wordCount\":998,\"image\":{\"@id\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/reconfigurable-metasurfaces-for-compact-nontrivial-angular-filtering\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.hajim.rochester.edu\\\/senior-design-day\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/Professional-Photo-1024x683.jpg\",\"articleSection\":[\"3. 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