Modern Radio Signals Filtering Devices Methods, Technologies, & Structures

Frequency Selective Surfaces with Cross-shaped Aperture Elements

Author(s): Vyacheslav V. KOMAROV* and Valery P. MESHCHANOV

Pp: 320-376 (57)

DOI: 10.2174/9789815196504124010013

* (Excluding Mailing and Handling)

Abstract

In modern microwave and terahertz technology, one of the most hot topic areas of using frequency selective surfaces is frequency filtering of electromagnetic signals. Such structures make it possible to reduce the weight and dimension parameters of the radio equipment, which is especially important for onboard systems of aviation and space technology operating under harsh environment, which imposes high-reliability requirements on the units and components of these systems. One of the trends in the development of filtering devices of various types and different element bases has recently become the design of broadband and ultra-wideband, as well as narrowband and ultra-narrowband systems.

Freestanding frequency selective surfaces with cross-shaped aperture elements are investigated numerically and experimentally in the present chapter. Transmission characteristics of such two-dimensional periodic structures as a function of sizes are analyzed using numerical methods.Employing the conjugate-gradient method narrowband filters have been developed and optimized. The results of measurements carried out in the present study agree well with the obtained theoretical data.

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      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59771045 and j.to_ip >=59771045 )) and ((j.from_date <= 1739847196 and j.to_date >= 1739847196 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 21486) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59771045 and j.to_ip >=59771045 )) and ((j.from_date <= 1739847196 and j.to_date >= 1739847196 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 21486) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59771045 and j.to_ip >=59771045 )) and ((j.from_date <= 1739847196 and j.to_date >= 1739847196 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 21486)
      610μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 3659 and `b`.`banner_from_date` <= 1739847196 and `b`.`banner_to_date` >= 1739847196 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.27msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 3659
      • 3: 1739847196
      • 4: 1739847196
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='83c968df08fd1695ee96bf2e2ed08b25'
      240μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        KHTwHL8lmYONtKs62BIsL8g5vAGMJZP0VMjgNztH
        uc_cart_id
        83c968df08fd1695ee96bf2e2ed08b25
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/21486" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/21486
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:16 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 18 Feb 2025 02:53:16 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkYzUzYrbVhkeU9MK0Z1RnlEMm8zbkE9PSIsInZhbHVlIjoiMi9JMmtlU2V2VlNEY0ZzQXMxQ3FhaVgwOXR2Y1lXYXd5WnFPWXhJQ1NZZlpxWlFUSGkvZlpBMVkyR3VhbmFWREdkT2NGcnBGSDVFREUrSGRzbXBtenpmangzS3ovQjJ1bmR6Q2RzZW5NZ0tUd3JROXJma3J0bHRuL0luZnUvOVEiLCJtYWMiOiIzYjk0M2JiNGY3MDdlMzUzNmUwMjc4Y2MxYTQ1MzViOGUwYjIwYmUyYzI3YzlhYzEzMGIxMmViMWE3MWE0NjMxIiwidGFnIjoiIn0%3D; expires=Thu, 20 Feb 2025 14:53:16 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6IkYzUzYrbVhkeU9MK0Z1RnlEMm8zbkE9PSIsInZhbHVlIjoiMi9JMmtlU2V2VlNEY0ZzQXMxQ3FhaVgwOXR2Y1lXYXd5WnFPWXhJQ1NZZlpxWlFUSGkvZlpBMVkyR3VhbmFWREdkT2NGc" 1 => "alphaeurekaselectnet_session=eyJpdiI6IkJLcjArUFNMU3Q5YmYzcGRjakNGVnc9PSIsInZhbHVlIjoiRmQwUWF4blgyUXhaUFBYeG1jcFl0RzBzOExpNXRNcGhFekpqUzZqejYxejNmK0g2dFJwMzF2dkR0ZmZmZkFBNi9qYXBxU2t5YmdVakNiNmdDTDBtbWw0Y2RCeVlFa2plSXhFSkhNa1lBYzJjY3ovdWVLR0hpS2JseHhHOGEyelIiLCJtYWMiOiI0NmVhNDc2ZmIyNjcyNmU4Mzc2YjIzNmQ1YzJlYWZiNmNjNDBkNjc2MzU2NDQ3ODEzMDlmZjIzMTI1MzM2N2U0IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6IkJLcjArUFNMU3Q5YmYzcGRjakNGVnc9PSIsInZhbHVlIjoiRmQwUWF4blgyUXhaUFBYeG1jcFl0RzBzOExpNXRNcGhFekpqUzZqejYxejNmK0g2dFJwMzF2dkR" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkYzUzYrbVhkeU9MK0Z1RnlEMm8zbkE9PSIsInZhbHVlIjoiMi9JMmtlU2V2VlNEY0ZzQXMxQ3FhaVgwOXR2Y1lXYXd5WnFPWXhJQ1NZZlpxWlFUSGkvZlpBMVkyR3VhbmFWREdkT2NGcnBGSDVFREUrSGRzbXBtenpmangzS3ovQjJ1bmR6Q2RzZW5NZ0tUd3JROXJma3J0bHRuL0luZnUvOVEiLCJtYWMiOiIzYjk0M2JiNGY3MDdlMzUzNmUwMjc4Y2MxYTQ1MzViOGUwYjIwYmUyYzI3YzlhYzEzMGIxMmViMWE3MWE0NjMxIiwidGFnIjoiIn0%3D; expires=Thu, 20-Feb-2025 14:53:16 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6IkYzUzYrbVhkeU9MK0Z1RnlEMm8zbkE9PSIsInZhbHVlIjoiMi9JMmtlU2V2VlNEY0ZzQXMxQ3FhaVgwOXR2Y1lXYXd5WnFPWXhJQ1NZZlpxWlFUSGkvZlpBMVkyR3VhbmFWREdkT2NGc" 1 => "alphaeurekaselectnet_session=eyJpdiI6IkJLcjArUFNMU3Q5YmYzcGRjakNGVnc9PSIsInZhbHVlIjoiRmQwUWF4blgyUXhaUFBYeG1jcFl0RzBzOExpNXRNcGhFekpqUzZqejYxejNmK0g2dFJwMzF2dkR0ZmZmZkFBNi9qYXBxU2t5YmdVakNiNmdDTDBtbWw0Y2RCeVlFa2plSXhFSkhNa1lBYzJjY3ovdWVLR0hpS2JseHhHOGEyelIiLCJtYWMiOiI0NmVhNDc2ZmIyNjcyNmU4Mzc2YjIzNmQ1YzJlYWZiNmNjNDBkNjc2MzU2NDQ3ODEzMDlmZjIzMTI1MzM2N2U0IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6IkJLcjArUFNMU3Q5YmYzcGRjakNGVnc9PSIsInZhbHVlIjoiRmQwUWF4blgyUXhaUFBYeG1jcFl0RzBzOExpNXRNcGhFekpqUzZqejYxejNmK0g2dFJwMzF2dkR" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "KHTwHL8lmYONtKs62BIsL8g5vAGMJZP0VMjgNztH" "uc_cart_id" => "83c968df08fd1695ee96bf2e2ed08b25" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/21486" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-18 02:53:16GET/chapter/21486112192