Photonic Materials: Recent Advances and Emerging Applications

Pressure Dependent Reflectance and Transmittance Properties in 1D- Photonic Crystal Containing Germanium (Ge)

Author(s): Sanjeev K Srivastava*, Yogesh Sharma and Mirza Tanweer Ahmad Beig

Pp: 43-55 (13)

DOI: 10.2174/9789815049756123010006

* (Excluding Mailing and Handling)

Abstract

In this work, we theoretically investigate and study the effect of hydrostatic pressure on the reflectance and transmittance properties of the one-dimensional PC (1D PC) containing germanium (Ge). In the present study, we first take a 1D PC structure composed of alternate layers of germanium (Ge) and air having a finite number of layers. In the second case, we take the same structure by breaking its periodicity such that each part of it acts as the mirror image of each other. The Refractive index of germanium varies under the applied pressure, therefore both reflection bands and transmission modes change with the applied pressure. In order to calculate transmittance and reflectance spectra of the proposed PC, the transfer matrix method (TMM) has been used. It has been observed that by increasing the hydrostatic pressure, the width of the reflection band decreases and the position of reflection bands shifts towards the lower side of wavelength. Further, the transmission modes of the considered PC structure are blue shifted with the increase in applied hydrostatic pressure and show high sensitivity with it. 

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      • 13. app/Models/UserAccess/UserAccess.php:1266
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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 <= 314549955 and j.to_ip >=314549955 )) and ((j.from_date <= 1740347953 and j.to_date >= 1740347953 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18537) 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 <= 314549955 and j.to_ip >=314549955 )) and ((j.from_date <= 1740347953 and j.to_date >= 1740347953 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18537) 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 <= 314549955 and j.to_ip >=314549955 )) and ((j.from_date <= 1740347953 and j.to_date >= 1740347953 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18537)
      590μsalphaeurekaselec_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` = 3455 and `b`.`banner_from_date` <= 1740347953 and `b`.`banner_to_date` >= 1740347953 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.04msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 3455
      • 3: 1740347953
      • 4: 1740347953
      • 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='0bb043312e17dfae81af1f5cc8ede1ba'
      180μsalphaeurekaselec_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
        FxJRhmSqX5vi7gkLPFVqUnOrLzQXpZJRXuGWCwTE
        uc_cart_id
        0bb043312e17dfae81af1f5cc8ede1ba
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/18537" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/18537
        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:17 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "cookie" => array:1 [ 0 => "wayfindertarget=eyJpdiI6IitZeUMrRHBGSmZuZTI1YVVORkVoL1E9PSIsInZhbHVlIjoiUTZIUzArWnUzMmluOUZlaVFMV0pTK1BVUmthTVJjS1VJTzJJRnNvcDVnQT0iLCJtYWMiOiI4YTAyZWQyM2VmZjczZDA3ZjI2ZWRmOTY4YWZjOGRjMTg3MzkzNDFjN2IzNDU5MGViY2QyODRjZTczNmQ5MWIyIiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6IitZeUMrRHBGSmZuZTI1YVVORkVoL1E9PSIsInZhbHVlIjoiUTZIUzArWnUzMmluOUZlaVFMV0pTK1BVUmthTVJjS1VJTzJJRnNvcDVnQT0iLCJtYWMiOiI4YTAyZWQyM2VmZjcz" ] "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
        0 of 0
        array:1 [ "wayfindertarget" => null ]
        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 => "Sun, 23 Feb 2025 21:59:13 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlNYSEo0czJrdlNpVnB2eng4ekMvaGc9PSIsInZhbHVlIjoiL0EwT2JSOC94N0lveGh5aHduWTE5dHZsUk9lQ0VybU1ISm9RLzNOUnM0dzNweVFzV3g4NXVwK2pnd2x3UGhQSCtpVDJMVDlOT08zZ3ZBNHpwazg0SjlTY056aEQrb1RpRDdrck9UR2NoRExxN1JxSWNRcFMzRGk5Q3lNOFZkaFUiLCJtYWMiOiI4ZTA5NjVmMjgzNDcwNmZlMzY4MzZiYjc5OWQwOGU3YWQ5MTVjM2U3Zjk2ZTM1NDk5N2M3NGRkMWJiZjBmZjExIiwidGFnIjoiIn0%3D; expires=Wed, 26 Feb 2025 09:59:13 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6IlNYSEo0czJrdlNpVnB2eng4ekMvaGc9PSIsInZhbHVlIjoiL0EwT2JSOC94N0lveGh5aHduWTE5dHZsUk9lQ0VybU1ISm9RLzNOUnM0dzNweVFzV3g4NXVwK2pnd2x3UGhQSCtpVDJMV" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImZzdlhZdithMnAySDRUQXFlQVREb3c9PSIsInZhbHVlIjoiY1lwN3loVTFoc3FNZHZMTW1VdkhsQVpVNDZtNC92T3dNQnp5aFNPbnFPNmdScitIUHQ5Z3dBZkFZalZOaE1mbUMraGpiM2RKVjRucDdoaXpEM0xWV1BkR0htbi9UYmw5c0lZR3NkNnFKalhGQmhHbkVhUjEyNit6enZYamJqU0YiLCJtYWMiOiI1NmUyYWViMDNhMWIwYWNmNjIyOWMwZjgwZTdhNTVkMjlkNTA1OTBhYThmNGZmNGQxMGI2ZjU2Y2U1OWNiN2ExIiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6ImZzdlhZdithMnAySDRUQXFlQVREb3c9PSIsInZhbHVlIjoiY1lwN3loVTFoc3FNZHZMTW1VdkhsQVpVNDZtNC92T3dNQnp5aFNPbnFPNmdScitIUHQ5Z3dBZkF" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlNYSEo0czJrdlNpVnB2eng4ekMvaGc9PSIsInZhbHVlIjoiL0EwT2JSOC94N0lveGh5aHduWTE5dHZsUk9lQ0VybU1ISm9RLzNOUnM0dzNweVFzV3g4NXVwK2pnd2x3UGhQSCtpVDJMVDlOT08zZ3ZBNHpwazg0SjlTY056aEQrb1RpRDdrck9UR2NoRExxN1JxSWNRcFMzRGk5Q3lNOFZkaFUiLCJtYWMiOiI4ZTA5NjVmMjgzNDcwNmZlMzY4MzZiYjc5OWQwOGU3YWQ5MTVjM2U3Zjk2ZTM1NDk5N2M3NGRkMWJiZjBmZjExIiwidGFnIjoiIn0%3D; expires=Wed, 26-Feb-2025 09:59:13 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6IlNYSEo0czJrdlNpVnB2eng4ekMvaGc9PSIsInZhbHVlIjoiL0EwT2JSOC94N0lveGh5aHduWTE5dHZsUk9lQ0VybU1ISm9RLzNOUnM0dzNweVFzV3g4NXVwK2pnd2x3UGhQSCtpVDJMV" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImZzdlhZdithMnAySDRUQXFlQVREb3c9PSIsInZhbHVlIjoiY1lwN3loVTFoc3FNZHZMTW1VdkhsQVpVNDZtNC92T3dNQnp5aFNPbnFPNmdScitIUHQ5Z3dBZkFZalZOaE1mbUMraGpiM2RKVjRucDdoaXpEM0xWV1BkR0htbi9UYmw5c0lZR3NkNnFKalhGQmhHbkVhUjEyNit6enZYamJqU0YiLCJtYWMiOiI1NmUyYWViMDNhMWIwYWNmNjIyOWMwZjgwZTdhNTVkMjlkNTA1OTBhYThmNGZmNGQxMGI2ZjU2Y2U1OWNiN2ExIiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6ImZzdlhZdithMnAySDRUQXFlQVREb3c9PSIsInZhbHVlIjoiY1lwN3loVTFoc3FNZHZMTW1VdkhsQVpVNDZtNC92T3dNQnp5aFNPbnFPNmdScitIUHQ5Z3dBZkF" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "FxJRhmSqX5vi7gkLPFVqUnOrLzQXpZJRXuGWCwTE" "uc_cart_id" => "0bb043312e17dfae81af1f5cc8ede1ba" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/18537" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-23 21:59:13GET/chapter/18537112192